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Sonja [21]
2 years ago
9

I have to find the value of x​

Mathematics
1 answer:
Debora [2.8K]2 years ago
4 0

Answer:

x = 10

Step-by-step explanation:

To find x, write a proportion between the side lengths for the similar triangles in the figure.

\frac{x+5}{x}=\frac{18}{12}

To solve, cross multiply and isolate x.

(x+5)(12) = 18(x)

12x + 60 = 18x

60 = 6x

10 = x

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julio bisects angle PQR and labels a point on the bisector as S. He measures angle PQS with a protractor. The measure of angle P
Paha777 [63]

Answer:

The measure of angle PQR is 74 degrees

Step-by-step explanation:

* <em>Lets explain how to solve the problem</em>

- Bisect an angle means divide the angle into two equal parts in

  measures

- Ex: If angle ABC is bisected by a ray BD then:

- Angle ABC is divided into two equal parts in measure

 m∠ABD = m∠CBD and

 m∠ABC = m∠ABD + m∠CBD

- So we can say measure of angle ABC is twice measure of angle

 ABD or twice measure of angle CBD

*<em> Lets solve the problem</em>

- Julio bisects angle PQR and labels a point on the bisector as S

∴ m∠PQS = m∠RQS

∴ m∠PQR = m∠PQS + m∠RQS

∴ m∠PQR = 2 m∠PQS ⇒ (or 2 m∠RQS)

- He measures angle PQS with a protractor and find its measure is

  37 degrees

∵ m∠PQS = 37°

∴ m∠PQR = 2 × m∠PQS

∴ m∠PQR = 2 × 37 = 74°

∴ The measure of angle PQR is 74 degrees

8 0
3 years ago
Increase £40 by 5percent
natulia [17]
40(105/100)=42
.........................

5 0
3 years ago
(Help? Its a True or False Question) The following is the correct way to show the product for 0.453 × 8.1:
BigorU [14]

What is the relationship between RR' and SS'?


8 0
2 years ago
Lawrence's parents pay him a base allowance of $20 per week and $3.55 per hour for extra chores he completes. Mrs. Johnson pays
sergey [27]

Answer:

7.15x + 3.55y + 20 = weekly income

Step-by-step explanation:

7.15x + 3.55y + 20 = weekly income


6 0
3 years ago
How do you solve this
MissTica

Answer:

The Area is 72.

Step-by-step explanation:

A=1/2d^2

A=1/2(12)^2

A= 1/2(144)

A=72

<em>Hope I helped, Brainliest would be appreciated :) </em>

<em> Have a fantastic day! </em>

<em>                   -Aadi x</em>

5 0
3 years ago
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