Triangle abc and xyz are congruent ,/_A is one half the size of /_B,/_y is 90° ./_c and /_z each have a measure of 45°.What is the measure of /_ a?

Answers

Answer 1

Answer:

∠a = 45°

Step-by-step explanation:

We are told that △abc and △xyz are congruent.

Thus;

∠a = ∠x

∠b = ∠y

∠c = ∠z

We are given;

∠y = 90°

Thus, ∠b = 90°

Now,we are told that ∠a is one half the size of ∠b.

Thus; ∠a = ½ × ∠b

∠a = ½ × 90

∠a = 45°


Related Questions

Find the volume of the rectangular prisim 6cm 4cm 12cm

Answers

Answer:

288cm²

Step-by-step explanation:

The volume of a rectangular prism can be easily calculated by multiplying the height by the width by the length

Assuming that the lengths given ( 6cm, 4cm and 12cm )  are the width, height and length

If so then the volume is equal to 6 * 4 * 12

6 * 4 = 24

24 * 12 = 288

volume = 288cm²

Answer:

The answer is 288

Step-by-step explanation:

I don't want to go into detail because the first guy already did., but check your formulas and what you are given and find the answers

convert pounds to ounces complete the following table Its due tomorrow

Answers

Answer:

64, 80, 96, and 112.

Step-by-step explanation:

Well, one pound equals 16 onces so you can multiply the number of pounds by 16 to get the answer. I hope this helps! Have a great rest of your day!

What is the value of in the solution of the
system of equations 3x + 2y = 12 and 5x – 2y = 4?

Answers

Answer:

x = 2

y = 3

Step-by-step explanation:

add the 2 together and the y-values drop out and you are left with:

8x = 16

x = 2

3(2) + 2y = 12

2y = 6

y = 3

The label for a square box of pasta has an area of 16 in? What is the side length of the box?

Answers

Answer:

4.

Step-by-step explanation:

A square has four sides of equal length.

And, the formula for area of a square is a^2.

And, 4^2 or 4⋅4 = 16.

Therefore, the side length of the box is 4.

Find the volume of a pyramid with a square base, where the side length of the base is
11.8 ft and the height of the pyramid is 5.2 ft. Round your answer to the nearest
tenth of a cubic foot.

Answers

Answer:

241.3ft^3

Step-by-step explanation:

Volume of Pyramid:

V=\frac{1}{3}Bh

V=

3

1

Bh

\text{Side length of base}=11.8

Side length of base=11.8

\text{Area of base}=11.8^2=139.24

Area of base=11.8

2

=139.24

B=

B=

\,\,139.24

139.24

h=

h=

\,\,5.2

5.2

V=

V=

\,\,\frac{1}{3}Bh

3

1

Bh

V=

V=

\,\,\frac{1}{3}(139.24)(5.2)

3

1

(139.24)(5.2)

V=

V=

\,\,241.3493333

241.3493333

Simplify the quotient

7^8 / 7^3

Answers

Answer:

D) 7⁵

Step-by-step explanation:

1) Use Quotient rule: x^a/x^b = x^a-b.

[tex] {7}^{8 - 3} [/tex]

2) Simplify 8 - 3 to 5.

[tex] {7}^{5} [/tex]

3) Simplify.

[tex]16807[/tex]

The answer is option D. 7⁵.

A trader bought 12 shirts for $150 altogether. He sold 11 of them for $20 each and one for $10.
Work out his overall percentage profit or loss,

Answers

Answer:

53%

Step-by-step explananation:

how much did he sell them for?

11*20 = 220

220+10 = 230

so he got a total of 230 off of buying 150

percent is difference of original

(230-150)/150

80/150

about 53%

I think this is right

A three-dimensional L-shaped figure is made of two rectangular prisms joined at a right angle. A horizontal rectangular prism has a length of eight inches, a width of two inches, and a height of two inches. A vertical rectangular prism connected at the right end of the other prism has a length of two inches, a width of two inches, and a height of eight inches. What is the total volume of the composite figure?

Answers

The total volume of the composite figure is 64 in³.

Volume of a rectangular prism

The volume of a rectangular prism, V = lwh where

l = length, w = width and h = heightVolume of horizontal rectangular prism

Since horizontal rectangular prism has a length of eight inches, a width of two inches, and a height of two inches. So,

l = 8 in, w = 2 in and h = 2 in.

So, its volume V' = lwh

= 8 in × 2 in × 2in

= 32in³

Volume of vertical rectangular prism

Since the vertical rectangular prism connected at the right end of the other prism has a length of two inches, a width of two inches, and a height of eight inches. So,

l = 2 in, w = 2 in and h = 8 in.

So, its volume V" = lwh

= 2 in × 2in × 8 in

= 32 in³

Volume of composite figure

The volume of the composite figure V"' = V' + V"

= 32 in³ + 32 in³

= 64 in³

So, the total volume of the composite figure is 64 in³.

Learn more about volume of rectangular prism here:

https://brainly.com/question/16065525

Plsssssss help. 10th grade mathematics

Answers

Answer:

B) 2/3

Step-by-step explanation:

8-9 can anyone help it’s pre algebra

Answers

Answer:

8. V≈471.2

9. 2513.3

Step-by-step explanation:

8. V=πr2h=π·52·6≈471.2389

9. V=πr2h=π·82·12.5≈2513.27412

Today, everything at a store is on sale. The store offers a 20% discount. Write an expression that shows the discount price of an item that costs x dollars. ​

Answers

Answer:

0.8x dollars

Step-by-step explanation:

Answer:

Step-by-step explanation:

80%*x = 0.8x

Determine if the following is Infinite solutions, one solution, or no solutions
x+y=4
2x+2y=8

Answers

Answer:

30

Step-by-step explanation:

infinite solutions cause when you take out the 2 from the bottom equation, you get x + y = 4, which is the exact same equation as the first one, so literally any two values will result in the same for both

Can someone help me please

Answers

Answer:

c as it is on a straight line

Answer:

C. 2x + 58 = 180

Step-by-step explanation:

Not 100% sure but I hope this helps you!

can someone solve this

Answers

Answer:

16

Step-by-step explanation:

1/2 ^(-1)=2

8×2=16

Hope that helped.

I need some heeelp please

Answers

Answer:

Min:  3

Q1:  7

Med:  10

Q3:  13

Max:  16

Step-by-step explanation:

The answer is

Min: 3
Q1: 7
Med: 10
Q3: 13
Max :16

Help help help help
Number 1 and 2 in the next q

Answers

Answer:

either 81 or 162

Step-by-step explanation:

I got 81 by 27×12

162=27×12×2

Please answer ? And please no links

Answers

Answer:

23

Step-by-step explanation:

Sofia's batting average is 0.022 higher than Joud's batting average. Joud has a batting average of 0.169.

Answers

Answer:

0.191

Step-by-step:

0.022 + 0.169 = 0.191.

HELP DUE IN 10 MINS!

m∠WXZ =??

Answers

Ur answer is 64°

180-(90+26)= 64

what special characteristics did mahavira share with paul mcCartney?

Answers

Answer:

both vegetarians

Step-by-step explanation:

what is the least common denominator 2 and 7?

Answers

Answer:

14

Step-by-step explanation:

14 7x2=14 please give Brain

Find the length of each arc. Use the exact answer

Answers

Answer:

D) 16π/3 ft

Step-by-step explanation:

We solve the above question using the Arc length formula when our central angle is in degrees

The formula is given as:

Arc length = 2πr × θ /360

r = 4 ft

θ = Central angle in degrees = 240°

Hence,

2 × π × 4 × 240/360

8π × 240/360

8π × 20/30

16π/3 ft

Arc length = 16π/3 ft

Option D is the correct option

14, 11,8, 1, 23, 20, 17, 5, 19, 10, 12, 22

Answers

Answer:

I did not understand anything

The Student Athletes Club has a
monthly budget of x dollars. Every
month $500 is spent on transportation
One-third of the remaining budget is
spent on monthly activities. Which
function can be used to find the
amount in dollars spent on monthly
activities?
A f(x)= *
1-500
4
*+500
B f(x) =
C f(x) = 500 -
D f(x) = 500 +
A.2(C)

Answers

Answer:

Step-by-step explanation:


Quel est la vitesse moyenne de 108 km/h en m/s

Answers

Answer:

108 km/h = 30 m/s

Step-by-step explanation:

1 km = 1,000 m, 1 hr = 3,600 sec.

108 × 5 ÷ 18 = 30

Answer:

En effet, 108 km/h = 30 m/s

Step-by-step explanation:

mais pourquoi la question est-elle en fr ?

The radius of Cylinder A measures ____ feet.

14, 7, 10

The radius of Cylinder B measures ____ feet.

1.4, 2.8, 5.7

Answers

Answer:

The radius of Cylinder A measures 7 feet.

The radius of Cylinder B measures 2.8 feet.

Step-by-step explanation:

The radius of Cylinder A measures 7 feet.

because the radious is half of the diameter and 14 is the diameter

The radius of Cylinder B measures 2.8 feet.

Answer:

Cylinder A's radius is 7 because the radius is diameter divided by 2.

Cylinder B's radius is 2.8 because the height of Cylinder A is 5 times bigger than Cylinder B's height.

Step-by-step explanation:

I WILL GIVE YOU BRAINLIEST Which of the following lines are parallel to Y = 1/4X - 3? A. 2Y = 1/3X + 2 B. 4Y = 4X + 3 C. 3Y = 3/4X + 6

Answers

Answer:

3Y=3/4X +6

Step-by-step explanation:

3Y=3/4X +6 is parallel to Y=1/4X-3

Question 15 of 45
If x = 3 and y= -2, then
22 – 2y
x2 + 2y

Answers

substitute x for 3 & y for -2

22 - 2(-2) = 26
3(2) + 2(-2) = 2

Answer:

3

Step-by-step explanation:

Given

[tex]\frac{x^2-xy}{x^2+2y}[/tex] ← substitute x = 3 and y = - 2

= [tex]\frac{3^2-3(-2)}{3^2+2(-2)}[/tex]

= [tex]\frac{9+6}{9-4}[/tex]

= [tex]\frac{15}{5}[/tex]

= 3

HELP ME WITH THIS PLEASE. THANKS. BTW, DOES ANYONE KNOW HOW TO TURN CAPS OFF ON CHROMEBOOK.

THANKS

Answers

Answer:

press search + alt to turn it off i think

Step-by-step explanation:

A square has a perimeter of 20 inches. What is the distance from one corner of the
square to the opposite corner? Which sketch draws the square and correctly solves
for the distance from one corner to the opposite corner?

Answers

the distance is 5 inches (i think)
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