Answer:
x = 10
y = 20
Step-by-step explanation:
In a 30 60 90 triangle, all triangles follow the same pattern of side lengths.
The short leg, x, will be equal to the coefficient of the [tex]\sqrt{3}[/tex]
The hypotenuse will be twice the value of x
Triangle ABC has two known angles. Angle A measures 55 degrees. Angle B measures 30 degrees. What is the measure of angle C? Show your work and explain how to solve.
Answer:
According to triangle theorems, we know that the interior angles of a triangle equals 180 degrees. Since we know that angle A and angle B are 55 and 30 degrees, all we need to do is add them up and subtract it from 180 degrees to find out the measure of angle C.
55 + 30 = 85 degrees
180 degrees - 85 degrees = 95 degrees (this is the measure for angle C)
The m∠C in the triangle is 95° as the other two angles are 55° and 30°
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We know the sum of all the interior angles in a triangle is 180°.
Given, In a triangle, m∠A is 55° and m∠B 30°.
Therefore m∠C = 180° - 55° - 30°.
m∠C = 95°.
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Slove 6 3/8 - 6/8 help please
Answer:
5 5/8
Step-by-step explanation:
6 3/8 - 6/8
The denominators are the same, so we borrow from the 6
Borrw 1 in the form 8/8
6 + 8/8 +3/8 - 6/8
5 11/8 - 6/8
5 5/8
what is the following sum 4(5vx^2y)+3(5vx^2y)
i don’t know if that answer is right
Answer:
C
Step-by-step explanation:
Please refer to the picture above.
Assuming a =
[tex] \sqrt[5]{x}^{2}y } [/tex]
You can visualise the solution easily.
Dora says that of all the possible rectangles with the same area, the rectangle with the largest perimeter will have two side lengths that are 1 unit does her sentment make sense?
Answer:
maybe
Step-by-step explanation:
Dora is apparently assuming the dimensions are integers. In that case she is correct.
If the dimensions are unconstrained, the perimeter will be largest when a pair of opposite sides will be the smallest measure allowed.
For some perimeter P and side length x, the area is ...
A = x(P/2 -x)
Conversely, the perimeter for a given area is ...
P = 2(A/x +x)
This gets very large when x gets very small, so Dora is correct in saying that the side lengths that are as small as they can be will result in the largest perimeter. We have no way of telling if her assumption of integer side lengths is appropriate. If it is not, her statement makes no sense.
match the width with the go given area.
Hello!
Answer:[tex]\boxed{ \bf 1.~l~=~9.25~cm;~A~=~55.5~cm^2~matches~with~the~last~option~w~=~6~cm.}[/tex]
[tex]\boxed{ \bf 2.~l~=~7.5~cm;~A~=~48.75~cm^2~matches~with~the~second~option~w~=~6.5~cm.}[/tex]
[tex]\boxed{ \bf 3.~l~=~5~cm;~A~=~44~cm^2~matches~with~the~third~option~w~=~8.8~cm.}[/tex]
[tex]\boxed{ \bf 4.~l~=~5~cm;~A~=~31.25~cm^2~matches~with~the~first~option~w~=~6.25~cm.}[/tex]
__________________________________Explanation:We already know that the formula for area of a rectangle is A = l × w.
Notice how the width and the length are being multiplied to find the area.
Well, to find the width, we must do the opposite of multiplication, which is division.
Since we already have the length, all we have to do is divide the area by the length for each of the questions.
1:
A = l × w
55.5 = 9.25 × w
[tex]\frac{55.5}{9.25}[/tex] = 6
2:
A = l × w
48.75 = 7.5 × w
[tex]\frac{48.75}{7.5}[/tex] = 6.5
3:
A = l × w
44 = 5 × w
[tex]\frac{44}{5}[/tex] = 8.8
4:
A = l × w
31.25 = 5 × w
[tex]\frac{31.25}{5}[/tex] = 6.25
Triangle triangle A^ prime B^ prime C^ prime is the image of triangle ABC under a dilation What is the scale factor of the dilation
Answer:
2
Step-by-step explanation:
The scale factor of the dilation of triangle ABC into the triangle A^ prime B^ prime C^ prime is 2.
What is scale factor?Scale factor is the factor which is used to enlarge or smaller the original figure. Scale factor is the ratio of representation measurement of the figure to the original figures.
Triangle A^ prime B^ prime C^ prime is the image of triangle ABC under a dilation.
The height of the triangle ABC is 5 units (blocks) and the height of the dilated triangle A'B'C' is 10 units. Thus, the scale factor is,
[tex]k=\dfrac{10}{5}\\k=2[/tex]
Hence, the scale factor of the dilation of triangle ABC into the triangle A^ prime B^ prime C^ prime is 2.
Learn more about the scale factor here;
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Which is another way to name ZUST?
1
0 ZTSR
OTSU
S
O ZUSR
O ZUTS
Answer:
TSU is the correct for answer
Another way to name ∠UST is ∠TSU.
What are Angles?Angles are the figure formed by the intersection of two lines or rays by sharing a common point. This point is called the vertex of the angle.
Angles are usually measured in degrees or radians.
The angle mentioned in the figure is at the point S.
This angle is the smaller angle formed at the point S.
An angle can be represented in two ways, from left to right or from right to left.
Suppose, an angle is ∠ABC.
We can represent this as ∠CBA.
So, the angle represented is ∠TSU.
Hence the angle is ∠TSU.
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5x + 2y = 34
x= - 4y - 4
Answer:
y = -3
Step-by-step explanation:
So, first you need to plug in -4y-4 for x. So, 5(-4y-4) + 2y=34. Now, use the distributive property and now it will become -20y -20 + 2y = 34. Add like terms which would be -20y + 2y = -18y. Now the equation is -18y - 20 = 34. Now use inverse operations and add 20 to both sides. Then the equation will be -18y = 54. When you divide -18 on both sides, you get y=-3.
Hope this helps :)
Please help!!! I have no idea why, but I can’t solve these problems!!!!
Identify the LCD of the rational expressions in the equations
2/x+1 + x/x+4 = 1/2
4/x+9 + 3x/2x-1 = 10/3
I’d love it if anyone could answer both equations, but anything helps really!!!
Select the clause from the drop-down menu to correctly complete the sentence.
Be sure to wear goggles while you swim
Choose...
..thar last word is chlorine by the way
Answer: ;otherwise, your eyes will become very irritated from the chlorine.
Step-by-step explanation: I took the test
Answer:
the answer above is right i jus took the test
Step-by-step explanation:
If TV ≅ WV and UV ≅ XV, then which congruency theorem shows that ΔTUV ≅ ΔWXV ?
Answer:
Option (2).
Step-by-step explanation:
In the figure attached,
Given : TV ≅ WV and UV ≅ XV
To prove: ΔTUV ≅ ΔWXV
Statements Reasons
1). TV ≅ WV 1). Given
2). UV ≅ XV 2). Given
3). ∠XVW ≅ ∠TVU 3). Reflexive property
4). ΔTUV ≅ ΔWXV 4). SAS (Side - angle - side) property of congruence
Therefore, Option (2) will be the answer.
LAST QUESTION!!!!!! WILL GIVE BRANLIEST!!!!! PLS JUST TAKE A LOOK!!!!!! SHARE YO SMARTNESS!!!!!!!!
6. Why is angle 1 congruent with angle C in the diagram?
A) They interior angles to the triangle.
B) They are vertical angles.
C) They are exterior angles to the triangle.
D) They are corresponding angles.
Answer:
C
Step-by-step explanation:
They are opposite angles and opposite angles are the same amount.
The answer is C because they are on the outside of the triangle.
Outside = Exterior
Is AABC AXYZ? If so, identify the similarity postulate or theorem that
applies
Answer:
Similar-AA
Step-by-step explanation:
If you know 2 angles of the triangle you automatically know the third. If all the corresponding angles of two triangles are the same, they are similar.
(p.s. This sign ~ means similar)
Please answer the questions. i will give brainiest asap
Answer:
RR' || SS'
Step-by-step explanation:
because if you look at the image you see that RR' is parallel to SS'
Which of the following expressions is equivalent to 4^−3?
A. 1/-4^-3
B. -4^-3
C. 1/4^3
D. 1/4^-3
Answer:
C
Step-by-step explanation:
Evaluate.
Exact Form:
1 /64
Decimal Form:
0.015625
Weiming invests S4000 in a savings scheme that pays simple interest at a rate of 2% per annum.
Calculate the time taken for his investment to grow to $4400.
Answer:
55 YRS
Step-by-step explanation:
T=INTEREST X 100%/PRINCIPAL X RATE
T=4400X100%=440000%/4000 X 2%
T=440000%/8000%
T=55 YRS
Andrea can clean a house 4 times as fast as Denise. When they work together, Andrea and Denise can clean a large house in 8 hours. How many hours would it take Denise to clean the house by herself?
Answer:
72
Step-by-step explanation:
Can somebody give me the answers to all of theseeeeee plsssss rn
Solution,
3x^2+5x-6+(-x^2+3x+9)= 3x^2+5x-6-x^2+3x+9
= 3x^2-x^2+5x+3x-6+9
=2x^2+8x+3
2. x^2-10x-24
= x^2-(12-2)x-24
= x^2-12x+2x-24
= x(x-12)+2(x-12)
=(x-12)(X+2)
3. 3x^2-9x
take the common,
= 3x(x-3)
Hope it helpsGood luck on your assignmentHelppp!! Please ASAP!! Thank you.
Answer:
4
Step-by-step explanation:
Find the number of real-number solutions of the equation.
2x^2 = 37
Answer:
Step-by-step explanation:
2x^2 = 37
x^2=37/2
x^2=18.5
[tex]\sqrt{x^{2} }[/tex]=[tex]\sqrt{18.5}[/tex]
x=4.301
find the surface area
poop h34huehu 3uddej ewdujdwqijdwejj
En el supermercado pusieron las siguientes ofertas d frijol : 4kg a 100.80, 5kg a 170.50, 6kg a 260.60, 7kg a 320.40. ¿Cuál es la oferta que más conviene comprar? Explica tu respuesta:
Answer:
The first offer: 100.80 for 4kg
Step-by-step explanation:
To find the best offer, we just need to find the price per kilogram, and we do this by dividing the price by the number of kg:
100.80 for 4kg: 100.8/4 = 25.2 per kg
170.50 for 5kg: 170.5/5 = 34.1 per kg
260.60 for 6kg: 260.6/6 = 43.43 per kg
320.40 for 7kg: 320.4/7 = 45.77 per kg
The first offer has the smaller price per kg, so it is the best offer.
Use this data for question #14. The results for a survey of 120 students who were selected randomly are listed below:
14. The total population of students was 380. Based on the data, what is the best approximation for the total number of students who have a cell phone plan with company Y? *
A. 114
B. 127
C. 143
D. 163
What is the slope of the line on the graph below?
2
-2 11
1
2
3
4
5
E
7
8
x
2.
L3
4
50
46
The best player on a basketball team makes 70% of all free throws. The second-best player makes 65% of all free throws. The third-best player makes 55% of all free throws. Based on their experimental probabilities, estimate the number of free throws each player will make in his or her next 60 attempts. Explain.
If the best player makes 70% of all free throws, then this player would be expected to make 70% of the next 60 free throws, which is 42. (The equation that goes with this is [tex]\frac{70}{100}=\frac{x}{60}.[/tex])
Similarly, the second-best player would make 65% of 60 throws, which is 39, and the third-best player would make 55% of 60 throws, which is 33.
Find the area of the shape shown below.
12 5 5
Answer:
i think its 42.5
Answer:
42.5
________________________________________________________
please help quickly
Answer:
question 1) Add 7/4 to both sides. question 2) Divide 4 by both sides. question 3) x=15
Step-by-step explanation:
please help ASAP for brainliest
help me please i am marking brainiest, no one ever helps me with anything i am really struggling as a kid to move on to the next grade so please me me out with this problem please for i can force myself to keep going:
A student is doing a reading assignment. After 41 minutes of reading, she skims the pages ahead and estimates that she still has 53% of the reading to do. According to the girl's estimate, how long is the total reading assignment? Round to the nearest minute.
Answer:
Approximately 87 minutes
Step-by-step explanation:
So first see how much of the reading 41 minutes is. It is 47%.
So now to find out how much 100% is, first find out how much 1% is.
Just divide by 47.
1% = [tex]\frac{41}{47}[/tex]
And then multiply by 100 to get 100%
[tex]\frac{4100}{47}[/tex]
That is 87.2340425532
Which is 87
4. Joanna bought 3 mini cakes for a birthday party. She cuts each cake into quarters and plans to
serve each guest 1 quarter of a cake. How many guests can she serve with all her cakes?
Write a division expression and draw a picture to support your response.
Answer:
she can serve 12 guest with her cakes
Step-by-step explanation:
if 1 cake is cut into 4 peices
3 cakes will be cut into 12