Question #5 The measures of two angles are (5x + 24) and (9x - 17). What is the value of x if these
angles are congruent?
F 1.75
G 13.2
H 0.5
) 10.25

x=10.25

Step-by-step explanation:

If the two angles are congruent, then the measures are equivalent. Therefore, we can set the measures equal to each other and solve for x.

5x+24=9x-17

We want to find out what x is. In order to do this, we have to get x by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

First, subtrct 5x from both sides.

5x-5x+24=9x-5x-17

24=9x-5x-17

24=4x-17

Next, add 17 to both sides.

24+17=4x-17+17

24+17=4x

41=4x

Lastly, divide both sides by 4, since 4 and x are being multiplied (4*x=4x).

41/4=4x/4

41/4=x

10.25=x

If the angles are congruent, then the value of x is 10.25.

10.25

Step-by-step explanation:

percentage - 25%

probability - 0.25

we know,

total amount of students in class = 20

total boys = 10

total girls = 10

no of girls who wear glasses = 10/2 = 5

probability of choosing a girl with glasses is =

number of girls wearing glasses/total number of students in the class = 5/20

thus, percentage of selecting a girl wearing glasses will be

= 5/20 × 100

= 5 × 5

25%

therefore,

probability will be 0.25

happy to

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c

step-by-step explanation: