Look at the right-angled triangle ABC.

32°

The square fits exactly inside the triangle.
Work out the sizes of angles x, y and z.

Answers

Answer 1

Answer:

∠x = 90°

∠y = 58°

∠z = 32°

Step-by-step explanation:

he dimensions of the angles given are;

∠B = 32°

Whereby ΔABC is a right-angled triangle, and the square fits at angle A, we have;

∠A = 90°

∠B + ∠C = 90° which gives

32° + ∠C = 90°

∠C = 58°

∠x + Interior angle of the square = 180° (Sum of angles on a straight line)

∠x + 90° = 180°

∠x = 90°

∠x + ∠y + 32° = 180° (Sum of angles in a triangle)

90° + ∠y + 32° = 180°

∠y = 180 - 90° - 32° = 58°

∠y + ∠z + Interior angle of the square = 180° (Sum of angles on a straight line)

58° + ∠z +90° = 180°

∴ ∠z = 32°

∠x = 90°

∠y = 58°

∠z = 32°


Related Questions

What is the value of y?

Answers

Answer:

B. 68 degrees

Step-by-step explanation:

y+y-12+56=180

2y-12+56=180

2y+44=180

2y=136

y=136/2

y=68

B. 68 degrees

If this helps please mark as brainliest

Please both questions! I'll give Brainlyest

Answers

Answer:

c

Step-by-step explanation:

3=t-12

12+3=t

15=t

c is the answer

how many liters of water does the pool need?

Answers

Answer:

c

Step-by-step explanation:

12 times 1.5 times 3.8

Assume that a and b are the legs of a right triangle and C is the hypotenuse.
-
Given a = 20, c=52, find b =

Answers

Answer:

b = 48

Step-by-step explanation:

a = 20

b = ?

c = 52

a^2 + b^2 = c^2

20^2 + b^2 = 52^2

400 + b^2 = 2704

b^2 = 2704 - 400

b^2 = 2304

sqrt(b^2) = sqrt(2304)

b = sqrt(2304)

b = 48

Container A is cylinder with a radius of 6 units and a height of 6 units. A right cone has been carved from its base and has a height of 6 units. Container B has the same radius as container A. Which statement derives the formula to find the volume of container A?



1 over 3π(62)(6) − π(62)(6)
2[1 over 3π(62)(6) − π(62)(6)]
2[π(62)(6) − 1 over 3π(62)(6)]
π(62)(6) − 1 over 3π(62)(6)

Answers

Answer:

[tex]\pi (6^{2}) (6)-\frac{1}{3} \pi (6^{2} )(6)[/tex]

Step-by-step explanation:

correct

Sally has 2 pets in her house. The weight of her dog is 50 pounds and the weight of her cat is 12 pounds. By how much is the weight of the dog more than the weight of the cat?

A. 38 lb.
B. 30 lb.
C. 28 lb.
D. 20 lb.

Answers

Answer:

the answer is A. 38lb.

i hope this helps :)

Step-by-step explanation:

A. 38 lbs.
50-12= 38 pounds

match the base to the corresponding height​

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The base and height are perpendicular to each other. In each case, there is only one figure having a labeled h segment perpendicular to the labeled b.

A jockey will ride horses in 10 different races at a race track today. The number of races that the jockey will win is what type of random variable

Answers

Answer:

X is a discrete Random variable where X is the number of races Jockey can win.

Step-by-step explanation:

To find - A jockey will ride horses in 10 different races at a race track today.

The number of races that the jockey will win is what type of random variable ?

Proof -

Given that,

A jockey will ride horses in 10 different races at a race track today.

Let us assume that,

X is the number of races Jockey can win

So,

X can take value 0, 1, 2, 3, ......10

As,

It can take countable finite values

So,

X is a discrete Random variable

∴ we get

X is a discrete Random variable where X is the number of races Jockey can win.

un ascensor se encuentra en la duodécima planta de un edificio, sube 10 pisos, despues en baja 1, en sube 3 y en baja 5. ¿En qué planta se encuentra en el final?

Answers

Answer:

It is in the plant 19.

Step-by-step explanation:

What is the supplement of 12

Answers

168 degrees is the supplement of 12.
168 degrees is da answer

Do the sides 4, 5, and 6 form a Pythagorean Triple?

Answers

Answer:

They do not form a Pythagorean Triple.

If it was a Triple,  4^2+5^2 should equal 6^2.

4^2+5^2=16+25=41

6^2=36

41≠26

It doesn't work, therefore it is not a Pythagorean Triple.

Answer:

no

Step-by-step explanation:

A pythagorean triple is only formed by 3 sides

The highest speed ever recorded for a bicycle was 166.944 miles per hour. What is this speed rounded to the NEAREST tenth?

Answers

Answer:

166.9 miles per hour

Step-by-step explanation:

To round a number to the nearest tenth, look at the next place value to the right (the hundredths). If it's 4 or less, just remove all the digits to the right. If it's 5 or greater, add 1 to the digit in the tenths place, and then remove all the digits to the right. Then, the answer is 166.9.

May someone help me with these questions?

Answers

Answer:

7. -158

8.-87

9. 807

10.128

11.9

Answer:

Step-by-step explanation:

What is the smaller zero of y = r2 – 6x + 8

Answers

Answer:

i think it's 27

Step-by-step explanation:

sorry if im wrong

Bernard earns a 37% commission
for all the sales he makes in a month.
Last month his total sales were
$12,500.00. How much was his
commission last month?

A. $125.00
B. $1250.00
C. $375.00
D. $3750.00

Answers

125,000 because of it that the moon was a little more than it

April has 5 milligrams of zinc and 0.25 milligrams of copper.
How much more zinc does she have than copper?

Answers

Answer:

It's 4.75

Step-by-step explanation:

If you subtract 5-.25=? The answer would be 4.75. Hope this helps.

PLEASE HELP LOOK AT PICTURE YOU ANSWER I GIVE BRAINLIEST

Answers

Answer:

Your answer would be 26.64cm.

A step-by-step explanation for you, peabrain:

For all four sides:

1.8cm x 2.7cm = 4.86cm

4.8cm x 4 sides = 19.44cm

For the top and bottom:

1.8cm x 1.8cm = 3.6

3.6cm x 2 sides = 7.2cm

For the complete LSA (lateral surface area):

19.44 + 7.2cm = 26.64cm

Do not forget to round, if that is in your homework instructions :-)!

Answer:

Solution given;

l=1.8cm

b=1.8cm

h=2.7cm

now

lateral surface area =2(lb+lh+bh )

=2( 1.8*1.8+1.8*2.7+1.8*2.7)

=25.92cm² is a required answer.

Convert 7 km into ft3

Answers

Answer:

22965.9

Step-by-step explanation:

multiply the length value by 3281

Answer:cubic foot: 2.472e+11

9 2 + 3 3 - 30 divided by 6

Answers

Answer:

117

Step-by-step explanation:

Answer:

Your answer is 120!

Step-by-step explanation:

PEMDAS

92 + 33 - 30 ÷ 6

= 92 + 33 - 5

= 125 - 5

= 120

HELP WILL GIVE BRANLIEST

Answers

Answer:

m ∠ 2= 38

Step-by-step explanation:

Find the Area of the circle. Round your answer to the nearest hundredth.
Diameter is 3in.

Answers

Answer:

A = 7.07

Step-by-step explanation:

A = pi 1.5^2

A = pi 2.25

A = 7.07

How many feet are in 5 yards 1 foot?

Answers

Answer:

welp-_- in 1 yard theres 3 so..........in 5 yards there 15 feet + 1 is 16 your welcome

Step-by-step explanation:

but..................subscribe to my channel

https://www.yo utube.com/channel/UCaShoTLLOuuj9D4vqFtTpSQ/

*take the space out*

There are 16 feet in 5 yards

HELP ME !! AND EXPLAIN HOW YOU GOT IT.


PLEASE ANSWER !! ILL GIVE BRAINLIEST !!

50 POINTS !!

FAKE ANSWERS WILL GET REPORTED .

Answers

Answer:

<1= 62

•it is 62 because it is an alternate interior angle which is congruent

<2= 83

• when you add the given angles 62 and 35 you get 97 and a triangle is 180 so you subtract 97 from 180

<3=35

• it is 35 because it is an alternate interior angle which is congruent

Step-by-step explanation:

62+35= 97

180-97= 83

List 3 values that would make this inequality true. 10≥2n
10
0
5
8
6
7
2

Answers

Answer:

0, 2, 5

Step-by-step explanation:

10 ≥ 2n

Divide both sides by 2

5 ≥ n

Flip

n ≤ 5

Values less than or equal to 5

0, 2, 5

Can someone help me? It would mean the world if u helped me have a nice day! <3

Answers

500*4=2000
2000*7 weeks=14,000

500 ml water 4 times a day = 500x4= 2000 ml water per day

there are 7 days in a week so,

2000 x 7 = 14000 ml

1000mililitre = 1 litre

14000ml = 14 L per week

Let x represent the number. Use the given conditions to write an equation. Solve the equation and find the number.
A number increased by 4 is two times the number.

Answers

Answer:

x+4=x*2

x=4

Step-by-step explanation:

A local department store sells carpet in 4 sizes. Each carpet comes in 3 different qualities. One of the sizes comes in 5 colors. The other sizes come in 2 colors. How many choices of carpet are there

Answers

Answer:

23.

Step-by-step explanation:

You would multiply the 4 sizes of carpet by the 3 qualities, which equals 12. Then, you add 5+2+2+2. So it would end up being 12+11.

Members of a basketball team are reviewing their scores from the last several games. They record their point totals in the stem-and-leaf plot shown.

Use the drop-down menu below to answer the question about the stem-and-leaf plot.

Answers

Answer:

13 games

Step-by-step explanation:

Answer:

13 games

Step-by-step explanation:

A sprinter ran the 400 meter dash in 44.62 seconds. Convert her speed into miles per hour

Answers

Answer:

v = 20.7 mph

Step-by-step explanation:

Given that,

Distance, d = 400 m

Time, t = 44.62 s =

We need to find the speed of the sprinter. The speed of an object is defined as total distance covered divided by time taken. It can be given by :

[tex]v=\dfrac{d}{t}\\\\=\dfrac{0.248\ mile}{0.012\ s}\ (As\ 1\ m=0.000621371\ mile)\\\\=20.7\ mph[/tex]

Hence, the speed of the sprinter is equal to 20.7 mph.


[tex]x {}^{2} \div a + y {}^{2} \div b = 1[/tex]
find x​

Answers

Answer:

[tex]x=\sqrt{\dfrac{a(b-y^2)}{b}}[/tex]

Step-by-step explanation:

The given equation is :

[tex]x^2\div a+y^2\div b=1[/tex]

We need to find the value of x.

It can also written as :

[tex]\dfrac{x^2}{a}+\dfrac{y^2}{b}=1[/tex]

Subtract [tex]\dfrac{y^2}{b}[/tex] from both sides,

[tex]\dfrac{x^2}{a}+\dfrac{y^2}{b}-\dfrac{y^2}{b}=1-\dfrac{y^2}{b}\\\\\dfrac{x^2}{a}=\dfrac{b-y^2}{b}\\\\\text{Cross multiplying both sides}\\\\x^2=\dfrac{a(b-y^2)}{b}\\\\x=\sqrt{\dfrac{a(b-y^2)}{b}}[/tex]

Hence, the value of x is equal to [tex]\sqrt{\dfrac{a(b-y^2)}{b}}[/tex].

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