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Keith_Richards [23]
3 years ago
9

I need to find the measures of both angles in each diagram.

Mathematics
1 answer:
Nutka1998 [239]3 years ago
8 0
In this question you are looking at a straight line. The sum of a straight line is 180 degrees. To work out the measurements of each angle you need to work out what x is first. 

This means that from your diagram:

(5x-30)+2x = 180

From here you get rid of the brackets

5x - 30 + 2x = 180

Because both the 30 and 180 are measured in degrees, you can move the 30 to the other side.

5x + 2x = 180 + 30

Therefor:

7x = 210

x = 210/7

x = 30

5x = 150

2x = 60


Hope that helps

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Write an expression to represent the phrase, "6 of one thing plus half a dozen of the other"
yawa3891 [41]
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6 of one thing means 6 times x
plus  means ad
half a dozen of another mean 6 times y

they are added

6x+6y


2 variables
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4 years ago
Whats 3/z = 2/5. Please HELP!! Due in 20 minutes!!!
attashe74 [19]

Step-by-step explanation:

Hey there!!

Given,

\frac{3}{z}  =  \frac{2}{5}

Cross multiply.

15 = 2z

Therefore, z= 15/2

<em><u>Hope it helps</u></em><em><u>.</u></em><em><u>.</u></em>

3 0
3 years ago
Read 2 more answers
Its line segment please
joja [24]

Answer:

A) 29

Step-by-step explanation:

DG = GJ

GJ = DG = 4x + 17

DJ = DG + GJ

11x + 25 = 4x + 17 + 4x + 17

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Subtract 25 from both sides

11x = 8x + 34 - 25

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Subtract 8x from both sides

11x - 8x = 9

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Divide both sides by 3

x = 9/3

x = 3

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DG = 29

6 0
3 years ago
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True or False!!!! The measure of a tangent-tangent angle is twice the difference of the measures of the intercepted arcs.
lozanna [386]

answer : False

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The diagram is attached below

AB  and BC are the two tangents

By exterior angle theorem

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So   ∠2 = ∠3 - ∠4

Now we find angle 3  and 4, we know when a chord and tangent intersect at a point then the measure of angle is one half of measure of intercepted arc

∠3 = \frac{1}{2} * arc(ADC)

∠4 = \frac{1}{2} * arc(AC)

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∠2 = \frac{1}{2} ( arc(ADC) - arc(AC))

The measure of a tangent-tangent angle is one half the difference of the measures of the intercepted arcs.



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