Triangle XYZ is isosceles. The measure of the vertex angle, Y, is twice the measure of a base angle. What is true about triangle XYZ? Select three options.

Answers

Answer 1

Answer:

A. Angle Y is a right angle.

B. The measure of angle Z is 45°.

E. The perpendicular bisector of creates two smaller isosceles triangles.

Step-by-step explanation:

Let x represent the measures of base angles X and Z. 2x is the measure of vertex angle Y.

x + x + 2x = 180°

x = 45°

2x = m∠Y = 90°

The triangle is an isosceles right triangle which has base angles of 45°.

The perpendicular bisector of line XZ creates two smaller isosceles triangles with acute angles of 45°

Answer 2

Answer:

The answers are A B E

Step-by-step explanation:


Related Questions

Help ASAP
order -3, 5, 16, and -10 from least to greatest. Then order the same numbers from closest to zero to fastest from zero. Describe how your lists are similar. Would this be true if the numbers were -3, 5, -16, and -10?

Answers

Answer:

List from least to greatest:-16,-10,-3,5

List from closest to zero to the very far:-3,5,-10,16

Step-by-step explanation:

In order to know if the answer is accurate,draw a number line of directed numbers...the very far negative numbers,are said to be the least than the numbers almost close to zero...

First and second was correct equation

Please hurry I will mark you brainliest

Answers

Answer:

The sum of interior angle is 360°

Please Help!!
To find the distance AB across a river, a distance BC of 786 m is laid off on one side of the river. It is found that B = 110.2° and C = 13.5°. Find AB. I don't understand how to do this but I know you need to use the Law of Sines, so please show work.

Answers

Answer:

~ 220.6

Step-by-step explanation:

sine rule : a/sinA =b/sinB = c/sinC

AB/sinC =BC/sinA

A = 180 - 110.2 - 13.5 = 56.3 degrees

AB/sin13.5 = 786/sin56.3

AB = 786sin13.5/sin56.3 = 220.5506

The distance across the river of AB is 220.55 m.

What is Law of Sines?

Law of sines is defined as that ratio of the length of the sides of a triangle to the sine of the angle opposite to the these sides are equal.

That is, if a, b and c are sides opposite to the angles A, B and C respectively, then,

a / sin A = b / sin B = c / sin C

Given a triangle ABC.

We have,

∠B = 110.2° and ∠C = 13.5°

We know that the sum of the interior angles of a triangle is 180°.

∠A = 180 - (110.2 + 13.5) = 56.3°

Using the law of sines,

BC / Sin A = AB / Sin C

Substituting the values,

786 / sin (56.3°) = AB / sin (13.5°)

AB = (786 / sin (56.3°)) sin (13.5°)

     = 220.55 m

Hence the distance is 220.55 m.

Learn more about Law of Sines here :

https://brainly.com/question/13098194

#SPJ3

Please help me with this problem

Answers

Answer:

4x² - 5x - 8 = 0

Step-by-step explanation:

Standard form of a quadratic: ax² + bx + c

Move all terms to one side and sort them based on the level of degree:

[tex]4x^2-9x-8=-4x\\4x^2-9x+4x-8=0\\4x^2-5x-8=0[/tex]

Answer:

4x^2 -5x-8 =0

Step-by-step explanation:

ax^2 + bx + c = 0 is the standard form

4x^2 -9x-8 =-4x

Add 4x to each side

4x^2 -9x+4x-8 =-4x+4x

4x^2 -5x-8 =0

(X+3)= 1
(2x+5)=(3n+2)

Answers

Hello!

(x + 3) = 1

x + 3 = 1

x = 1 - 3

x = -2

(2x + 5) = (3n + 2)

[2 × (-2) + 5] = (3n + 2)

(-4 + 5) = (3n + 2)

1 = (3n + 2)

1 = 3n + 2

3n + 2 = 1

3n = 1 - 2

3n = -1

n = -1 : 3

n = -1/3

Good luck! :)

In a triangle, a segment connecting the midpoints of two sides of the triangle is
called:

Answers

Answer:

A.) Midsegment

Step-by-step explanation:

Trust me bro

14 A curve has equation y=x2 - 6x² + 16. Find the coordinates of the two turning points.

Answers

Step-by-step explanation:

there is something wrong with your problem description.

you really mean x² - 6x² + 16 ?

or is it 2x - 6x² + 16 ?

in any case this would be a squared equation, which does not have 2 turning points.

we would need an equation with x³.

for that we would create the 1st deviation, which would be then a squared equation with 2 solutions, which would be the 2 turning points of the initial equation.

The factored form of the expression -25t - 175 is

Answers

Answer:

-25(t +7)

Step-by-step explanation:

-25t - 175

Factor out -25

-25 *t  +-25* 7

-25(t +7)

hi pls help.you do not have to do all 3. just either one will be ok pls explain as well:) thank you

Answers

Answer:

[tex]{7a^{5}b^{5} c\\[/tex]

Step-by-step explanation:

 [tex]\frac{28a^{8}b^{6} c^{3} }{4a^{3}bc^{2} }[/tex]

→ First look at the first term of each expression and see if they can be simplified, and they can

[tex]\frac{7a^{8}b^{6} c^{3} }{a^{3}bc^{2} }[/tex]

→ Now look at the a terms, since a larger one is at the top, you subtract

[tex]\frac{7a^{5}b^{6} c^{3} }{bc^{2} }[/tex]

→ Now simplify the b and c terms

[tex]{7a^{5}b^{5} c[/tex]

Find the equation of the line that is parallel
to the line y = 3x + 9 and passes
through the point (2,1) Write the
equation in slope-intercept form.

Answers

Answer:

y = 3x - 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x + 9 ← is in slope- intercept form

with slope m = 3

Parallel lines have equal slopes, then

y = 3x + c ← is the partial equation

To find c substitute (2, 1) into the partial equation

1 = 6 + c ⇒ c = 1 - 6 = - 5

y = 3x - 5 ← equation of parallel line

the height of an equivalent triangle is 15cm and it's perimeter is 36cm find the area of the triangle​

Answers

Answer:

The area is 72 cm².

Step-by-step explanation:

Since it is equivalent triangle

h = b

so,

b + b + b (since all sides are equal)= 36 cm

3b = 36 cm

or, b = 36/3

so, b = 12 cm

so

area of triangle = (1/2)×b×h

= (1/2)×12cm×12cm

= 6cm × 12cm

= 72 cm²

True False for each

Function A has a greater slope.

Function B has a greater y-intercept.

The slopes for both functions are the same.

The equation for function A is y=2x+3 ​

Answers

Answer:

can you please add a picture

Step-by-step explanation:

I can't work it out without no picture

hlp mehhhhhhhhh plsssssssss

Answers

Answer:

graph - A

Step-by-step explanation:

Please help me out with my maths I would really appreciate it ​

Answers

Answer:

a.

1. The rule in this sequence is (+5) every next pattern

2. 22, 27, 32, 37

3. 42

4. 12 term

5. 67

b.

1. The rule in this sequence is (-3) every next pattern

2. -7, -10, -13, -16

3. -16

4. 13 term

5. -37

Step-by-step explanation:

Answer:

I'm not sure about the answer.

a.

1. The rule in this sequence is (+5) every next pattern

2. 22, 27, 32, 37

3. 42

4. 12 term

5. 67

b.

1. The rule in this sequence is (-3) every next pattern

2. -7, -10, -13, -16

3. -16

4. 13 term

5. -37

Hope this helps you ^^

Find the area of the shape shown below.

this is on khan academy

Answers

Answer:

42 units^2

Step-by-step explanation:

Break this into a rectangle and a triangle

The rectangle is 12 by 1

A = l*w = 12*1 =12

The triangle has a base of 6-1 =5  and a height of 12

A = 1/2 bh = 1/2 (5)*12 = 30

Add the areas together

12+30 =42

Answer:

[tex]42 \: {units}^{2} [/tex]

Step-by-step explanation:

First divide the shape into triangle and a rectangle

then find the Area of the triangle and the rectangle separately

Area of the rectangle

[tex]area = l \times b \\ = 12 \times 1 \\ = 12 \: \: {units}^{2} [/tex]

Area of the triangle

[tex]area = \frac{1}{2} \times bh \\ = \frac{1}{2} \times 5 \times 12 \\ = \frac{60}{2} \\ = 30 \: \: {units}^{2} [/tex]

Area of the shape

[tex]12 + 30 = 42 \: {units}^{2} [/tex]

help me please its confusing

Answers

Answer:

9c^7d^13

Step-by-step explanation:

ANSWER PLEASE
simplify 2n(n2+2n+3)-3(2n+7) and (-4n2-3n-8)+2(n+9)

Answers

Step-by-step explanation:

> 2n³+4²+6n-6n-21

2n³+4n²-21

> -4n²-3n-8+2n+18

-4n²-3n-8+2n+18

-4n²-n-8+18

-4n²-n+10

We want to find the zeros of this polynomial:

p(x) = 2x^3 + 3x^2 - 18x -27.

Plot all the zeros (x-intercepts) of the polynomial in the graph.

Answers

Answer:

-3,-1.5,3

Step-by-step explanation:

(x+3) x=-3

(x-3) x=3

(2x+3) x=-3/2

The area of the regular hexagon is 169.74 ft2. A regular hexagon has an apothem with length 7 feet and an area of 169.74 feet squared. What is the perimeter, rounded to the nearest tenth? 24.2 ft 28.3 ft 48.5 ft 56.8 ft

Answers

Answer: [tex]48.5\ ft[/tex]

Step-by-step explanation:

Given

Area of the regular hexagon is [tex]169.74\ ft^2[/tex]

Length of the apothem is [tex]l=7\ ft[/tex]

Suppose the side of the hexagon is a

Hexagon can be divided into six equal triangles with same area

Area of a single triangle is

[tex]\Rightarrow A_1=\dfrac{1}{2}\times 7\times a\\\\\Rightarrow A_1=3.5a\ ft^2[/tex]

Area of hexagon will be equal to area of 6 equal area triangles

[tex]\Rightarrow 6A_1=169.74\\\Rightarrow 6\times 3.5a=169.74\\\Rightarrow a=8.08\ ft[/tex]

Perimeter of the hexagon is

[tex]\Rightarrow P=6a\\\Rightarrow P=6\times 8.08\\\Rightarrow P=48.49\approx 48.5\ ft[/tex]

Thus, the perimeter of the hexagon is [tex]48.5\ ft[/tex]

Answer:

C

Step-by-step explanation:

edge 2021

slove for inequality of -6> t-(-13)

Answers

Step-by-step explanation:

-6>t-(-13)

= -6>t+13

= -6-13>t

= -19>t

= t<-19

Answer:

t < - 19

Step-by-step explanation:

Given

- 6 > t - (- 13) , that is

- 6 > t + 13 ( subtract 13 from both sides )

- 19 > t , then

t < - 19

Question 10 The hypotenuse of a right triangle is I m longer than the longer leg. The other leg is 7 m shorter than the longer leg. Determine the lengths of the three sides of the triangle. (3 marks)​

Answers

Answer:

5, 12, 13

Step-by-step explanation:

let x be the longer leg then x + 1 is the hypotenuse and x - 7 the shorter leg

Using Pythagoras' identity in the right triangle

x² + (x - 7)² = (x + 1)² ← expand using FOIL

x² + x² - 14x + 49 = x² + 2x + 1

2x² - 14x + 49 = x² + 2x + 1 ( subtract x² + 2x + 1 from both sides )

x² - 16x + 48 = 0 ← in standard form

(x - 4)(x - 12) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

x - 12 = 0 ⇒ x = 12

x = 4 , then x - 7 = 4 - 7 = - 3 ← not possible

x = 12, then x - 7 = 12 - 7 = 5 and x + 1 = 12 + 1 = 13

The lengths of the 3 sides are

longer leg = 12 m , shorter leg = 5 m and hypotenuse = 13 m

A triangle, where the two angles are 30° and 90°, what are the remaining angles

Answers

Answer:

60⁰

Step-by-step explanation:

A triangle has three angles.

The sum of its angles = 180⁰

[ By angle sum property ]

Let the unknown angle be 'x'

Then,

30⁰ + 90⁰ + x = 180⁰

120⁰ + x = 180⁰

x = 180⁰ - 120⁰

x = 60⁰

Therefore, the unknown angle will be equal to 60⁰

60° because 90°+ 30°= 120°and 180°-120°=60°

) Con robot của bạn An được lập trình có thể đi thẳng, quay trái hoặc sang phải một góc 900. Trong cuộc thi "Phát động tài năng ", con robot của bạn An xuất phát từ điểm A đi thẳng 4m, rồi quay sang trái đi thẳng 3m, sau đó quay sang phải rồi đi thẳng 4m, rồi tiếp tục quay sang trái đi thẳng 3m đến B. Hãy tính khoảng cách AB .

Answers

Step-by-step explanation:

chắc là nó như này à :>♡♡♡

Write 1= 2x2 + 5x In standard form.

What is the value of b^2 - 4ac?

Answers

Answer:

2x^2+5x-1=0

ax^-bx+c=0

b^2-4ac = 5^2-4(2)(-1) =33

a sum of money Doubles itself in 5 years what is rate of simple interest​

Answers

Step-by-step explanationIf you are reading this say

thank u

the ordered pairs model an exponential function, where w is the function name and t is the input variable.
{(1, 60), (2, 240), (3, 960), (4, 3840)}
what is the function equation in sequence notation?

wt = ____

Answers

Answer:

w = 15 (4^t)

Step-by-step explanation:

Let w be what the function is equal to

Let t be the input variable

equation :

w = k a^t

Plug in any two of the points to solve for k and a

for example, let's take (1, 60) and (2, 240):

60 = k * a^1

k = 60 / a

240 = k a^2

Substituting:

240 = 60/a (a^2)

a = 4

k = 15

The function is

w = 15 (4^t)

Find the input (x) of the function y=5x-3 if the output (y) is 32

Answers

Answer:

x = 7

Step-by-step explanation:

Given

y = 5x - 3 ← equate 5x - 3 to 32

5x - 3 = 32 ( add 3 to both sides )

5x = 35 ( divide both sides by 5 )

x = 7 ← input

Answer:

x=7

Step-by-step explanation:

y=5x-3

y = 32

32 = 5x- 3

Add 3 to each side

32+3 = 5x-3+3

35 = 5x

Divide by 5

35/5 = 5x/5

7 =x

Find the measure of each angle indicated.
A) 95°
C) 26°
B) 92°
D) 20°

Answers

Answer:

D) 20°

Step-by-step explanation:

Using the triangle sum theorem, you know that every triangle's interior angles add up to 180°. Therefore the bottom triangle's missing angle can be found by giving it the variable x.

57° + 30° + x = 180°

Simplify: 87° + x =180°

x=93°

By the vertical angles theorem, the vertical angle directly across this angle is congruent to this one. Meaning that the top triangle's angle are 67°, 93°, and unknown, which we can assign y. We can use the same method from above here.

67° + 93° + y = 180°

Simplify: 160° + y = 180°

y=20°

Answer:

(C). 26°

Step-by-step explanation:

Combine the terms .-5y^2+5-4-4y^2+5y^2-4x^3-1

Answers

Answer:

-4x^3 - 4y^2

Step-by-step explanation:

-5y^2 + 5 - 4 - 4y^2 + 5y^2 - 4x^3 - 1

= -4x^3 -4y^2

It takes 3 identical water pumps 8 hours to fill a pool. How long would it take 4 of
these same pumps to fill the pool?

Answers

Answer:

Step-by-step explanation:

We have 3 identical pumps working to fill a pool. If it takes them working  together 8 hours to fill the pool, the equation is:

[tex]\frac{1}{x}+\frac{1}{x}+\frac{1}{x}=\frac{1}{8}[/tex] and

[tex]\frac{3}{x}=\frac{1}{8}[/tex] . Cross multiply to get

x = 24, which is the number of hours it will take one pump to do the job all alone. If this be the case, and we have 4 pumps WORKING AT THE SAME TIME, filling the pool will be the number of hours it takes one pump divided by 4.

4 pumps can do the job in 6 hours.

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Jake is a running back for our school football team. Jake played a fantastic football game on Saturday. Jake had 195 rushingyards and Jake scored 3 touchdowns.Which option uses referents to make it most coherent?A) Jake is a running back for our school football team. He played a fantastic game on Saturday. He had 195 rushing yardsand Jake scored 3 touchdowns.B) Jake is a running back for our school football team. He played a fantastic game on Saturday. He had 195 rushing yardsand scored 3 touchdowns.C) Jake is a running back for our school football team. Jake played a fantastic game on Saturday. Jake had 195 rushingyards and Jake scored 3 touchdowns.D) He is a running back for our school football team. He played a fantastic football game on Saturday. He had 195 rushingyards and scored 3 touchdowns. 1. Describe the condition of sculpture in Nepal during Lichchhavi period. I'LL GIVE BRAINLIEST ! ! ! ! ! !The parabola x=y-9 opens: a. left b. right c. down d. up Write a program that produces the following output:CCCCCCCCC CC CC CC CC CCCCCCCCC Note: The letter C in the output must be uppercas The graph of a sinusoidal function intersects its midline at (0, -7) and then has a minimum point at (pi/4, -9) A plaintiff sued a defendant in a patent infringement suit. To sustain his claim, the plaintiff was required to demonstrate the formula for a common chemical compound. The plaintiff produced three well-known chemistry texts containing explanations of the formula and asked the court to take judicial notice of the formula for the compound. Must the trial judge take judicial notice of the formula Is A ABC similar to A DEF? Why or why not?BE8 ft956 ft95d2560256010 ftFCD7.5 ft#ChoiceA.Yes, because the angles are congruent and the sides areproportionalB.Yes, because if at least one pair of angles are equal, thetriangles are similar.C.No, because although the angles are congruent, the sides arenot.D.We cannot tell because the third side is not given.ABD rs 20736 was distributed to as many rupees as there were. how many students were there What is the setting's role in helping to establish characterization in a story? A. It shows the historical events that have influenced the setting. B. It shows past events that happened in the story's location. C. It shows how characters react to or interact with theirsurroundings.D. It shows the articles of clothing common to the setting. Aman:my parent send me money but i'm always broke? The net income of a company for the year was $500,000. The company has no preferred stock. Common stockholders' equity was $1,200,000 at the beginning of the year and $2,500,000 at the end of the year. Calculate the rate of return on common stockholders' equity. What role does the health inspector play in preventing foodborne illness Chassis intrusion detection is an option that can be enabled/disabled in the BIOS setup utility (if a BIOS comes equipped with this feature).Coupled with a hardware sensor mounted insided the computer case, this functionality can be used to check if the case was opened and display a notification alert during next boot.a. Trueb. False A tennis player hits a ball hard and 0.80 seconds later hears the echo from a wall. The speed of sound in air is 340m/s how far away is the player from the wall If the government uses a quota to restrict imports of foreign-made shoes into the U.S., A. the price of shoes in the U.S. will increase, and U.S. firms will produce fewer shoes. B. the price of shoes in the U.S. will decrease, and U.S. firms will produce more shoes. C. the price of shoes in the U.S. will increase, and U.S. firms will produce more shoes. D. the price of shoes in the U.S. will decrease, and U.S. firms will produce fewer shoes. If a^2+b^2= 4 and ab = 5, what is the value of(a+b)^2?A. 10B. 12C. 14D. 16 Describe the formation of Mountain Everest. Feel Good Inc. is a multinational sports goods manufacturer that uses a different strategy in each of its subsidiaries and operations. Moreover, all decision-making is decentralized, which leaves the company open to the threat of opportunistic behavior. Since the expatriate managers do not rely on headquarters expertise, there is also an asymmetry in the transfer of information and specialized knowledge. In the context of the four international strategies proposed by Bartlett and Ghoshal, Feel Good Inc. uses a(n) _____. How are bushido, the code of the samurai warrior, and zen related? Explain the action of the diaphragm when you inhale and exhale.