Given that the measure of ∠x is 60°, and the measure of ∠y is 90°, find the measure of ∠z.

Answers

Answer 1
Answer:

The measure of ∠x is 60°, and the measure of ∠y is 90°, the measure of ∠z is 30°

What is an angle ?

An angle is a mathematical term, which we can define, when two straight lines or rays meet at a common endpoint. The common point is called the vertex of an angle. The word angle comes from a Latin word named ‘angulus,’.

Interior angles:- The inner angle made by the intersection of two polygonal sides.

Exterior angles:- The outer angle made by the intersection of two polygonal sides.

Given that,

In right angle triangle, Δxyz

Angle ∠x is 60°

Angle ∠y is 90°

It is already known that sum of all the interior angles of any  triangle is equal to 180°

So,

∠x + ∠y + ∠z = 180°

60° + 90° + ∠z = 180°

∠z = 30°

Therefore, the third angle is  30°

To know more about angle check:

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Answer 2
Answer: This is a right triangle. And every traingle should have total 180°. 180-150 = 30° is the answer

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What is 7(9n − 3) − 7nIn order please simply

Find a positive number that equals 2 when added to its square.

Answers

it's 1 haha. one squared is one and add and you get 2

Which equation represents the vertical line passing through (7,-3)A. x=-3
B. y=-3
C. x=7
D. y=7

Answers

Answer:

B- y=-3

Step-by-step explanation:

In 4 years, harry’s age will be the same as jim’s age is now. in 2 years, jim will be twice as old as harry will be. find their ages now.

Answers

The answer to this question would be:
Jim     =6 years
Harry =2 years

To answer this question, you need to translate the description into a  mathematical equation. If H= Harry's ages and J= Jim's ages, then the equation should be look like this:

1. H+4= J
2. (J+2)= 2(H+2)
     J+2= 2H+4
     J= 2H +2

If you put the 1st and 2nd equation together, the result would be:
H+4= J
H+4= (2H +2)
H-2H= 2-4
-H= -2
H=2

After that insert the H value to either 1st or 2nd equation.
H+4= J
2+4=J
J= 6

Answer:

harry is 2 jim is 6

Step-by-step explanation:

The table below shows the price of rolls at a bakery. A baker’s dozen includes 13 rolls for the price of a dozen rolls. How much money is saved by buying a baker’s dozen instead of 13 individual rolls?

Answers

it's 0.60

Have an nice nice day

For a button to fit through its buttonhole the hole needs to be size of the buttons diameter. What size butte hole is needed for a button with a circumference of 7.38 centimeters (use the value of 3.14 to represent pi.) HELP ME PLEAS

Answers

circumference = 2πr

diameter = 2 r

7.38 = 2 r (3.14)

7.38/3.14 = 2 r

2 r = 2.35 cen.

diameter needs to be 2.35 cen.

a square piece of paper is folded in half vertically. if the resulting figure has a perimeter of 12 cm, what was the area of the original square?

Answers

The area of original square is 16 centimetre square.

What is an area?

The area is the region bounded by the shape of an object.

Let consider 'a' as the side of the original square.

When it fold vertically then the top and bottom sides will be half of the original side.

The perimeter of folded square = 12 cm

i.e.  (2* 0.5a)+ 2a =3a =12 cm

Then, a=4cm

The area of original square is given by a^2.

Then, a^2 = 4*4 =16

Hence, 16 centimeter is the area of the original square.

To learn more about area, use the link given below:

brainly.com/question/27683633

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the area of the original square would have been 16 centimeters squared.
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