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Genrish500 [490]
2 years ago
5

Angle PSR measures 99°. Point S has three lines extending from it. One line extends to point P, another to point Q, and the othe

r to point R. Angle P S Q is (3 x + 18) degrees. Angle Q S R is (9 x minus 27) degrees. What is the measure of AnglePSQ in degrees? 9° 24° 45° 54°
Mathematics
2 answers:
liberstina [14]2 years ago
4 0

Answer:

45 degree

Step-by-step explanation:

We are given that

Angle PSR=99 degrees

Angle PSQ=(3x+18) degrees

Angle QSR=(9x-27)degrees

According to question

Angle PSR=Angle PSQ+angle QSR

Substitute the values

99=3x+18+9x-27

12x-9=99

12x=99+9=108

x=\frac{108}{12}=9

Substitute the value of x

Angle PSQ=(3(9)+18)=45^{\circ}

Hence, the measure of angle PSQ=45 degree

Keith_Richards [23]2 years ago
3 0

Answer:

C)45 degrees on the test in edge

Step-by-step explanation:

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Scott wants to buy fencing to place around a circular rock garden. The diameter of the circle is 16 feet. Using 3.14 for π, Calc
denpristay [2]

Answer:

200.96 square feet

Step-by-step explanation:

The amount of fencing Scott will need to buy can be gotten by calculating the area of the circular rock garden .

Area of a circle is given by

Pi r^2

Where

r = radius

Given diameter of 16 feet

r = diameter/2

= 16/2

= 8 feet

Pi = 3.14

Therefore,

Area = 3.14 x 8^2

= 3.14 x 8 x 8

= 200.96 square feet

The amount of fencing Scott will need to buy is 200.96square feet

5 0
2 years ago
Here are the dimensions of the oven tray Lucy bakes the cakes on. ←700mm→↑600mm↓.A cake tin is 25cm in diameter. How many cake t
GREYUIT [131]
700*600=420,000
420,000/10=42,000
Diameter = 25
so radius = 12.5
Pi*12.5^2=625/4Pi
42,000/625/4 Pi =86.56169741
=86.6
she can fit 86 tins
8 0
2 years ago
Read 2 more answers
For each hour he babysits, Anderson earns $1 more than half of Carey’s hourly rate. Anderson earns $6 per hour. Which equation c
bazaltina [42]

Answer:

10$ an hour

Step-by-step explanation:

1/2c=6-1

c=2(6-1)

c=10

7 0
2 years ago
Read 2 more answers
Jada is making lasagna and pizzas for a party recipe calls for 1 1/4 cups and she uses 1/2 she doubled her recipe and made 5 piz
grigory [225]

This question is not correctly written

Complete Question

Jada is making lasagna and pizzas for a large party. Her lasagna recipe calls for 1 1/4 cups of tomato paste, and her pizza recipe uses 1/2 cup of tomato paste per pizza. She will double her lasagna recipe and make 5 pizzas. Write and evaluate an expression for how many 3/4- cup cans of tomato paste she will need in all.

Answer:

The evaluate and for how many 3/4-cup cans of tomato she need in all is 20/3

Step-by-step explanation:

Step 1

From the question, we are told that:

1 single lasgna recipe uses: 1 1/4 cups of tomato paste = 5/4 cups

If she doubles her recipe, the number of cups of tomato paste =

2 × 5/4 cups of tomato paste

= 10/ 4 = 5/2 cups of tomato pastes

Step 2

From the question, we are told that:

1 Pizza recipe = 1/2 cup of tomato pastes

5 Pizza =

5 × 1/2 cup of tomato paste

= 5/2 cups of tomato paste

Steps 3

The total number of cups of tomato paste Jada will use in making double lasagna and 5 pizzas is calculated as

= 5/2 + 5/2

= (5 + 5)/ 2

= 10/2

= 5 cups.

Step 4

We are asked to evaluate how many 3/4 -cup cans of tomato she need in all.

This means we should find how many 3/4 - cup cans can be found in the total number of cups of tomato paste that Jada used.

Total number of cups that Jada used = 5 cups of tomato paste

The number of 3/4-cup cans in 5 cups is calculated as:

5 ÷ (3/4)

= 5 × 4/3

= 20/3

Therefore, the evaluate and for how many 3/4-cup cans of tomato she need in all is 20/3

8 0
2 years ago
A circle has diameter of 11cm
dlinn [17]

Since length of diagonal (  Diagonal= 9.9cm ) is less than diameter of circle ( 11 cm ) , Therefore , the square will fit inside the circle without touching the edge of the circle.

<u>Step-by-step explanation:</u>

Here we have , A circle has diameter of 11 cm  A square has side length of 7 cm . Use Pythagoras’ Theorem to show that the square will fit inside the circle without touching the edge of the circle . Let's find out:

We know the concept that for any square to fit inside the circle without touching the edge of circle  , diagonal of square must be less than diameter of circle  . Let's find out length of diagonal by using Pythagoras Theorem :

Hypotenuse ^2 = Perpendicular^2+Base^2

For a square , Perpendicular = base = side

⇒ Diagonal^2 = 2(side)^2

⇒ Diagonal= \sqrt{2}(side)

⇒ Diagonal= \sqrt{2}(7)

⇒ Diagonal= 9.9cm

Since length of diagonal (  Diagonal= 9.9cm ) is less than diameter of circle ( 11 cm ) , Therefore , the square will fit inside the circle without ruching the edge of the circle.

5 0
2 years ago
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