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3 years ago

What is the answer to this geometry question ?

Mathematics

2 answers:

Alborosie3 years ago

5 0

Angel C would also be 53

Art [367]3 years ago

4 0

It is 53°....................

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I’ve never been so confused, this is due in a few minutes, pls help if you can!

algol13

Given:

m(ar QT) = 220

m∠P = 54

To find:

The measure of arc RS.

Solution:

PQ and PT are secants intersect outside a circle.

If two secants intersects outside a circle, then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.

$$\Rightarrow \angle P = \frac{1}{2} (m \ ar (QT) - m \ ar (RS ))$

$$\Rightarrow 54 = \frac{1}{2} (220- m \ ar (RS ))$

Multiply by 2 on both sides.

$$\Rightarrow 2 \times 54 = 2 \times \frac{1}{2} (220- m \ ar (RS ))$

$$\Rightarrow 108= 220- m \ ar (RS )$

Subtract 220 from both sides.

$$\Rightarrow 108-220= 220- m \ ar (RS )-220$

$$\Rightarrow -112= -m \ ar (RS )$

Multiply by (-1) on both sides.

$$\Rightarrow (-112)\times(-1)= -m \ ar (RS )\times(-1)$

$$\Rightarrow 112= m \ ar (RS )$

The measure of arc RS is 112.

6 0

3 years ago

Al washed a car in 6 minutes. Fred washes the same car in 8 min. How long dies it take Al and Fred to wash the car together?

Roman55 [17]

$In\ 1min\ Al\ wash\ \frac{1}{6}\ car.\\In\ 1min\ Fred\ wash\ \frac{1}{8}\ car\\\\Together\ in\ 1min:\frac{1}{6}+\frac{1}{8}=\frac{4}{24}+\frac{3}{24}=\frac{7}{24}\ car\\\\Answer:Al\ and\ Fred\ wash\ the\ car\ in\ \frac{24}{7}min=3\frac{3}{7}min\approx3.5min$

3 0

3 years ago

What is the solution to 0.4(12 – 3x) = 0.3(12x – 16)?

TiliK225 [7]

Answer:

x = 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtract Property of Equality

Step-by-step explanation:

Step 1: Define

0.4(12 - 3x) = 0.3(12x - 16)

Step 2: Solve for x

Distribute: 4.8 - 1.2x = 3.6x - 4.8
Add 1.2x on both sides: 4.8 = 4.8x - 4.8
Add 4.8 on both sides: 9.6 = 4.8x
Divide 4.8 on both sides: 2 = x
Rewrite: x = 2

8 0

3 years ago

The measure of arc QS is (4x – 18)°.

Zigmanuir [339]

Answer: 49.5

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

!!!!HELP ME PLZZZZZZZZZZZZZ

Zolol [24]

Answer:

2) Yes

3) No

4) Yes

5) 2x + 8

6) 5(x - 8)

7) 3x + 21

Hope this helps :)

5 0

2 years ago