Answers
===========================================================
Explanation:
Refer to the diagram below.
There's a lot of info given to us that we don't need (and won't use).
The only key piece of info we'll really use is the fact that angle XZY is 27 degrees.
Draw in segments RU and RT to form quadrilateral TRUZ
Focusing solely on this quadrilateral, we see that the angles T and U are 90 degrees each (since the tangents are perpendicular to the radii at the point of tangency). Furthermore, we see that angle Z is 27 while angle R is x
For any quadrilateral, the four angles always add to 360 degrees
T+R+U+Z = 360
90+x+90+27 = 360
x+207 = 360
x = 360-207
x = 153
That means angle R of quadrilateral TRUZ is 153 degrees.
Furthermore, it means angle TRU is 153 degrees.
By extension, it indicates that minor arc TU is 153 degrees.
That makes arc TSU = 360 - (minor arc TU) = 360 - 153 = 207 degrees
By Joining TR and UR we got 2 right angles and a Quadrilateral
now
In a Quadrilateral sum of angles=360°
[tex]\\ \large\sf\longmapsto x+90+90+27=360[/tex]
[tex]\\ \large\sf\longmapsto x+180+27=360[/tex]
[tex]\\ \large\sf\longmapsto x+207=360[/tex]
[tex]\\ \large\sf\longmapsto x=360-207[/tex]
[tex]\\ \large\sf\longmapsto x=153°[/tex]
<TSU =360-153=207°Related Questions
Which equation can be solved using the one-to-one property?
3X = 10
4In x = 2
log x = 5
4* = 47x+2
Answers
Answer:
3x=10
Step-by-step explanation:
x=10-3
x=7
i hope this answer will help u
Answer:
4x = 47x+2
Step-by-step explanation:
Using the one–to–one property, you can set x = 7x + 2.
(x+2)^2 ≠ 0 ? hihihihihihi
Answers
write the equation in point -slope form using this graph
Answers
Step-by-step explanation:
Step 1: Write the equation using point-slope form
Point-Slope Form: [tex]y-y_{1}=m\left(x-x_{1}\right)[/tex]
[tex]y-0=m(x-3)[/tex]
[tex]y = m(x-3)[/tex]
Step 2: Find the slope
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]m=\frac{-2-0}{-2-(-3)}[/tex]
[tex]m=\frac{-2}{1}[/tex]
[tex]m=-2[/tex]
Step 3: Combine them together
[tex]y = m(x - 3)[/tex]
y = -2(x - 3)
IF NEEDED: Completely factor
[tex]y = (-2 * x) + (-2 * -3)[/tex]
y = -2x + 6
Rewrite the following fractions with a denominator of 24.
1/3
2/8
1/2
5/12
5/6
5/1
3/4
7/8
Answers
Answer:
or,
3/4×2/3=6/8
or, 3/4×3/3=9/12
Answer:
1/3, 2/81/2,5/125/6,3/4Step-by-step explanation:
1/3×2/8=2/24
1/2×5/12=5/42
5/6×3/4=15/24
Hope it is helpful to you
Find the length of y. Assume the triangles are similar.\
A. 3.6
B. 3.2
C. 3.9
D. 3.4
Answers
6,3:y=4,2:2,4
y=3,6
Chọn a
Which of the following graphs best represents the solution to the pair of equations below?
y = −x + 6
y = 2x − 3
Answers
câu 1: cho hình chóp S.ABC có đáy là tam giác đều cạnh bằng a, cạnh bên SB vuông góc với mặt phẳng (ABC) , SB =2a. Tính thể tích khối chóp S.ABC
Câu 2: Cho hình chóp S.ABC với SA, SB,SC đôi một vuông góc và SA=SB=SC +a . TÍnh thể tích của khối chóp S.ABC.
Answers
Answer:
[tex]\frac{\sqrt{3}}{6} a^{3}[/tex] và [tex]\frac{a^{3} }{6}[/tex]
Step-by-step explanation:
Câu 1: V = 1/3.2a.[tex]\frac{\sqrt{3}}{4}[/tex][tex]a^{2}[/tex] = [tex]\frac{\sqrt{3}}{6} a^{3}[/tex]
câu 2: Theo đề bài ta có SA là chiều cao và tam giác đáy SBC vuông tại S (hình chóp S.ABC đổi thành chóp A.SBC)
=> V = 1/3 SA.(diện tích tam giác SBC) = 1/3a.[tex]\frac{a^{2} }{2}[/tex] = [tex]\frac{a^{3} }{6}[/tex]
What is the answer to this question i really need it asap, thank you.
Answers
Answer:
sorry I could not help you but I wish you luck
Please help I will give brainliest to whoever helps
Answers
Answer:
A = x + 15
B = 1 + 2
Step-by-step explanation:
x 2 + 17x + 30
x2 + 15 x + 2x + 30
1 ( x + 15 ) + 2 ( x + 15 )
( x + 15 ) ( 1 + 2 )
Hope this answer helps you :)
Have a great day
Mark brainliest
Find the area of sector TOP in (O using the given information. Leave your
answer in terms of π.
13. r = 5 m, m = 90 degrees
Answers
Answer:
Pls give me the answers as soon as possible and make sure that the answers are correct.
The population of valleytown is also 5,000 with an annual increase of 1,000. Can the expected population for Valleytown be modeled with an exponential growth fu nction ? Explan
Answers
Answer:
An annual increase of 1000 means that the number by which the population increases is constant, which means that the population cannot be modeled with an exponential growth function, it is modeled by a linear growth function.
Step-by-step explanation:
Linear growth:
The number by which it increases is constant.
Exponential growth:
The rate which it increases is constant, that is, a proportion of population.
Annual increase of 1,000.
An annual increase of 1000 means that the number by which the population increases is constant, which means that the population cannot be modeled with an exponential growth function, it is modeled by a linear growth function.
Please help.. I’ve done two of these and have been doing work since 5:30 a.m. I’m so tired right now
Answers
Answer:
19. 11
21. 119
Step-by-step explanation:
19.
(-5)² - [4(-3 ∙ 2 + 4)² + 3] + 5 =
= (-5)² - [4(-6 + 4)² + 3] + 5
= (-5)² - [4(-2)² + 3] + 5
= (-5)² - [4(4) + 3] + 5
= (-5)² - [16 + 3] + 5
= 25 - 19 + 5
= 6 + 5
= 11
21.
5 - 8[6 - (3 ∙ 2 - 8 + 2|4 ÷ -2 + (-3)| - 4) - 7 · 2] - 3² · (-2) =
= 5 - 8[6 - (3 ∙ 2 - 8 + 2|-2 + (-3)| - 4) - 7 · 2] - 3² · (-2)
= 5 - 8[6 - (3 ∙ 2 - 8 + 2|-5| - 4) - 7 · 2] - 3² · (-2)
= 5 - 8[6 - (3 ∙ 2 - 8 + 2(5) - 4) - 7 · 2] - 3² · (-2)
= 5 - 8[6 - (6 - 8 + 10 - 4) - 7 · 2] - 3² · (-2)
= 5 - 8[6 - (-2 + 10 - 4) - 7 · 2] - 3² · (-2)
= 5 - 8[6 - (8 - 4) - 7 · 2] - 3² · (-2)
= 5 - 8[6 - 4 - 7 · 2] - 3² · (-2)
= 5 - 8[6 - 4 - 14] - 3² · (-2)
= 5 - 8[2 - 14] - 3² · (-2)
= 5 - 8[-12] - 3² · (-2)
= 5 - (-96) - 9 · (-2)
= 5 + 96 + 18
= 101 + 18
= 119
Write an equation of the line that is parallel to the given line and passes through the given point.
1. y=2x+1; (0,4)
2. y= -x-3; (0,7)
3. y=-8x +9; (0,-2)
Answers
1) y=2x+4
2) y=-x+7
3)y=-8x-2
What are the leading coefficient and degree of the polynomial?
-12x5–8+23x+3x
Answers
Answer:
d = 5 l = 12
Step-by-step explanation:
degree = 5
leading coefficient = 12
Given that x : 3 : 9/2 = 15/4 : 4 1/2 : y, find the value of x and y.
Answers
Answer:
x = [tex]\frac{5}{2}[/tex] , y = [tex]\frac{27}{4}[/tex]
Step-by-step explanation:
Equate the first 2 parts of the ratios on both sides of the equation and solve for x.
Expressing the ratios in fractional form, then
[tex]\frac{x}{3}[/tex] = [tex]\frac{\frac{15}{4} }{\frac{9}{2} }[/tex] = [tex]\frac{15}{4}[/tex] × [tex]\frac{2}{9}[/tex] = [tex]\frac{5}{6}[/tex] ( cross- multiply )
6x = 15 ( divide both sides by 6 )
x = [tex]\frac{15}{6}[/tex] = [tex]\frac{5}{2}[/tex]
-----------------------------------------------------------------------------------
Equate the last 2 parts of the ratios on both sides and solve for y
[tex]\frac{\frac{9}{2} }{y}[/tex] = [tex]\frac{3}{\frac{9}{2} }[/tex] = 3 × [tex]\frac{2}{9}[/tex] = [tex]\frac{2}{3}[/tex] ( cross- multiply )
2y = [tex]\frac{9}{2}[/tex] × 3 = [tex]\frac{27}{2}[/tex] ( divide both sides by 2 )
y = [tex]\frac{27}{4}[/tex]
It’s 11 but I need help
Answers
A,12/15=4/5
B,20/25=4/5
C,25/30=5/6
D,28/35=4/5
=> C
Vectors a = (1,0) and b= (1,1) are given. For what λ vector a + λb is perpendicular to vector a?
Answers
Answer:
-1
Step-by-step explanation:
Vector a=(1,0) if visualized as a line has points (0,0) and (1,0). This means the line is horizontal and has equation y=0.
This means we are looking for a vertical line.
Instead of lambda, I'm going to use u.
So we want a+ub=(1,0)+u(1,1). to vertical. If we visualize this as a line with points (0,0) and (1+u,u). We would need u=-1 so this would be vertical.
So vectors a=(1,0) and a+ub=(1,0)+u(1,1) are perpendicular for u=-1.
So we are saying vectors (1,0) and (0,-1) are perpendicular. If you draw these, you can get a visual confirmation.
The value of λ is -1 and is perpendicular to vector a.
What is Vector?A vector is a number or phenomena with two distinct properties: magnitude and direction. The term can also refer to a quantity's mathematical or geometrical representation. In nature, vectors include velocity, momentum, force, electromagnetic fields, and weight.
We have,
Vector a = (1, 0) and b = (1, 1).
Here the vector is visualized as line is horizontal and has equation y=0.
Now, we have a + λb is perpendicular to vector a.
So, a + λb = (1, 0) + λ(1, 1)
= (1 + λ, 1)
Now, to get the vertical component we must have λ= -1.
Then, a(1, 0) and a+λb= (1,0)+ λ(1, ) are perpendicular to λ=-1.
Learn more about Vector here:
https://brainly.com/question/29740341
#SPJ3
Find the measurement of the angle diagonal indicated in the following parallelogram
Answers
Answer:
24units
Step-by-step explanation:
From the parallelogram given, we can see that the line FH bisects EG at V. Hence;
GE = 2GV.
Given that
GV = 12
GE = 2(12)
GE = 24
Hence the measure of the length GE is 24units
Which answer choice correctly solves for x and y?
Answers
Answer:
[tex]x = 10\\y = 5[/tex]
Step-by-step explanation:
1. Approach
The easiest method to solve this problem is to use the side ratios in a special right triangle. One should start by proving that the triangle is a (30 - 60 - 90) triangle. Since the problem gives on the information that one of the sides has a measure of ([tex]5\sqrt{3}[/tex]), one can use this combination with the ratio of the sides in a special right triangle, to find the unknown side lengths.
2. Prove this triangle is a (30 - 60 - 90) triangle
One is given a right triangle. This means the triangle has a (90) degree or right angle in it. This is indicated by a box around one of the angles. One is given that the other angle in this triangle has an angle measure of (30) degrees. The problem asks for one to find the third angle measure. A property of any triangle is that the sum of angle measures in the triangle is (180) degrees. One can use this to their advantage by stating the following:
[tex](90) + (30) + (unknown) = 180\\[/tex]
Simplify,
[tex](90) + (30) + (unknown) = 180[/tex]
[tex]120 + unknown = 180\\[/tex]
Inverse operations,
[tex]120 + unknown = 180\\[/tex]
[tex]unknown = 60[/tex]
Thus, this triangle is a (30 - 60 - 90) triangle, as its angles have the measures of (30 - 60 - 90).
3. Solve for (y)
The sides ratio in a (30 - 60 - 90) triangle is the following:
[tex]n - n\sqrt{3} - 2n[/tex]
Where (n) is the side opposite the (30) degree angle, ([tex]n\sqrt{3}[/tex]) is the side opposite the (60) degree angle and finally (2n) is the side opposite the (90) degree angle. The side (y) is opposite the (30) degree angle. This means that it is equal to the side opposite the (60) degree angle divided by ([tex]\sqrt{3}[/tex]). Therefore, one can state the following:
[tex]\frac{5\sqrt{3}}{\sqrt{3}}=y\\5=y[/tex]
4. Solve for (x)
Using the same thought process one used to solve for side (y), one can solve for side (x). The side (x) is opposite the (90) degree angle, hence, one can conclude that it is twice the length of the side with the length of (y). Therefore, one can state the following:
[tex]x = 2y\\x = 2(5)\\x = 10[/tex]
Solve for 2. Round to the nearest tenth, if necessary.
L
58
M
Answer: 2=
Submit Answer
attempt 1 out of 2
PLS HELP
Answers
Answer:
x = 46.9
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin 54 = x / 58
58 sin 54 =x
x=46.92298
To the nearest tenth
x = 46.9
7. Which dimensions result in the minimum perimeter for a rectangle with area 42.0 cm2?
a. l = 9.00 cm, w = 4.67 cm c. l = 1.00 cm, w = 42.00 cm
b. l = 5.00 cm, w = 8.40 cm d. l = 6.48 cm, w = 6.48 cm
8. The minimum perimeter occurs when the rectangle is a _____.
a. quadrilateral c. parallelogram
b. triangle d. square
Answers
9514 1404 393
Answer:
7. d. l = 6.48 cm, w = 6.48 cm
8. d. square
Step-by-step explanation:
For a given area, the perimeter can always be shortened by reducing the length of the long side and increasing the length of the short side. When you get to the point where you can't do that, then you have the minimum perimeter. You will reach that point when the sides are the same length: the rectangle is a square.
__
7. In light of the above, the best dimensions are √42 ≈ 6.48 cm for length and width.
__
8. In light of the above, the shape is a square.
_____
The attached graph shows the length of one side (x) and the associated perimeter. The other side is 42/x, which will also be 6.48.
factor 25-4z^2
im having trouble with a question
Answers
Answer:
(5-2z)(5+2z)
Step-by-step explanation:
25 -4z^2
Rewriting
5^2 - (2z)^2
This is the difference of squares a^2 - b^2 = (a-b)(a+b)
(5-2z)(5+2z)
A survey was conducted by asking 120 students in a town how they traveled to school.
The following pie chart shows the result of the survey
Car 30%
Cycle 25%
Walk 10%
Bus ?
What are the number of students that travel to school by bus
Answers
Answer:
42
Step-by-step explanation:
30+25+10=65%
bus=35%
35/100×120=42
BUS=42
= 36 students
cycle- 25/100 x 120
= 30 students
Walk- 10/100 x 120
=12 students
Bus- 120-36-30-12= 42 students
the sum of the following algebraic expression 2x + 15, 7-8x and 3x - 41 is 30 find the value of x..
Answers
[tex] \\ \tt \longmapsto2x + 15 + 7 - 8x + 3x - 41 = 30 \\ \\ \tt \longmapsto 2x - 8x + 3x + 15 + 7 - 41 = 30 \\ \\ \tt \longmapsto - 3x - 19 = 30 \\ \\ \tt \longmapsto 3x + 19 = - 30 \\ \\ \tt \longmapsto 3x = - 30 -19 \\ \\ \tt \longmapsto 3x = - 49 \\ \\ \tt \longmapsto x = - \frac{49}{3}[/tex]
Answer:
Step-by-step explanation:
2x + 15 + 7 - 8x + 3x - 41 = 30
2x - 8x + 3x + 15 + 7 - 41 = 30
Combine like terms
-3x - 19 = 30
Add 19 to both sides
-3x = 30 + 19
-3x = 49
Divide both sides by (-3)
x = 49/-3
x = -[tex]16\frac{1}{3}[/tex]
Which of the following is a parent function?
O A. f(x) = e*
O B. f(x) = 2.34
O x
C. f(x) = x4 +3
O D. f(x) = 2e2x
Answers
Answer:
[tex]f(x) = e^x[/tex]
Step-by-step explanation:
Given
Options (a) to (d)
Required
Which is a parent function
A parent function is such that has a single term without coefficients
From the list of given options
[tex]f(x) = e^x[/tex] suits the above definition
Other options (b) to (d) either have coefficients, or have multiple terms
I neeeddddd helppppp it’s urgenttttttt!!!!!!!!
Answers
Answer:
x=7
Step-by-step explanation:
The sum of the arc of a circle is 360 degrees
85+5x+5+10x+5+-7+6x+6+17x = 360
Combine like terms
38x+94=360
Subtract 94 from each side
38x+94-94 = 360-94
38x = 266
Divide each side by 38
38x/28 = 266/38
x = 7
Solve for 2. Round to the nearest tenth, if necessary.
X
K
J
63°
1
PLS HELP ME
Answers
Answer:
Step-by-step explanation:
The reference angle is given as 63 degrees. The sides in question, x and 1, are adjacent to and opposite of this angle, respectively. The trig ratio that utilizes the sides adjacent to and opposite of angles is the tangent ratio; namely:
[tex]tan(63)=\frac{1}{x}[/tex] and rearrange algebraically to get
[tex]x=\frac{1}{tan(63)}[/tex] to get
x = .5
[tex]2 \sqrt{75} - \sqrt{108} + 5 \sqrt{48}[/tex]
Answers
[tex]\\ \sf\longmapsto 2 \sqrt{75} - \sqrt{108} + 5 \sqrt{48} \\\\ \sf\longmapsto 2 \sqrt{25 \times 3} - \sqrt{36 \times 3} + 5 \sqrt{16 \times 3} \\ \\ \sf\longmapsto 2 \times 5 \sqrt{3} - 6 \sqrt{3} + 5 \times 4 \sqrt{3} \\ \\ \sf\longmapsto 10 \sqrt{3} - 6 \sqrt{3} + 20 \sqrt{3} \\ \\ \sf\longmapsto (10 - 6 + 20) \sqrt{3} \\ \\ \sf\longmapsto 24 \sqrt{3} [/tex]
Answer:
24aprtment3
Step-by-step explanation:
In one college, 67 students made the dean's list. If this was 33.5% of the student body, what was the total number of students in the college?
Answers
Answer:
Total number of students in the college = 200 student
Step-by-step explanation:
Given:
Number of student make dean's list = 67 student
Percentage of student make dean's list = 33.5% of all student
Find:
Total number of students in the college
Computation:
Total number of students in the college = Number of student make dean's list / Percentage of student make dean's list
Total number of students in the college = 67 / 33.5%
Total number of students in the college = 67 / 0.335
Total number of students in the college = 200 student
state the following true or false
Answers
Answer:
c. false (it should always be neg.)
d. false
Step-by-step explanation:
Answer:
(c) True, (d) False
Step-by-step explanation:
