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rodikova [14]
3 years ago
12

Complete the proof of the exterior angle theorem given angle 4 is an exterior angle of triangle ABC prove angle 1+ angle 2= angl

e 4
Mathematics
2 answers:
EleoNora [17]3 years ago
6 0

Answer:

angle 1 +angle 2 + angle 3 =*180

angle 3+angle 4=*180

so,we can say,  

angle 1+angle 2+angle 3 = angle 3+angle 4  

i,e; angle 1+angle 2= angle 4 proved.

Step-by-step explanation:

taurus [48]3 years ago
3 0
In the triangle ,1,2,3 are interior angles and 4 is the exterior angle , adjascent to 3  
angle 1 +angle 2 + angle 3 =*180
 angle 3+angle 4=*180
 so,we can say, 
 angle 1+angle 2+angle 3 = angle 3+angle 4 
i,e; angle 1+angle 2= angle 4 proved.
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Last month you spend $30 on clothing this month you spent 160% of what you spent last minute set up a proportion to model this s
kifflom [539]

Answer: See explanation

Step-by-step explanation:

From the question, we are informed that last month $30 was spent on clothing and that this month, 160% of what was spent last month.

The equation to to model this situation will be:

= 160% × $30

= 160/100 × $30

= 1.6 × $30

= $48

That means $48 will be spent this month.

6 0
3 years ago
What is the area of a semicircle with a diameter of 10 cm?
Irina18 [472]

Answer:

<h2>39.27 cm²</h2><h2 />

Step-by-step explanation:

area of semi circle = π r² / 2

where r = 10/2 = 5 cm

area = π (5)² / 2

        = 39.27 cm²

7 0
3 years ago
Read 2 more answers
2x - 8≤ -10 <br><br>please find the value of x.<br>SHOW WORK IF POSSIBLE ​
kaheart [24]

Answer:

x ≤ - 1

Step-by-step explanation:

2x - 8 ≤ - 10 ( add 8 to both sides )

2x ≤ - 2 ( divide both sides by 2 )

x ≤ - 1

6 0
3 years ago
Read 2 more answers
Please help me!!!! I don’t understand
ololo11 [35]

Answer:

<h2>m∠EFG = 126°</h2><h2>m∠GFH = 54°</h2>

Step-by-step explanation:

If ∠EFG and ∠GFH are a linear pair, then m∠EFG + m∠GFH = 180°

(look at the picture).

We have

m∠EFG = 5n + 16

m∠GFH = 2n + 10

Substitute:

(5n + 16) + (2n + 10) = 180             <em>combine like terms</em>

(5n + 2n) + (16 + 10) = 180

7n + 26 = 180            <em>subtract 26 from both sides</em>

7n + 26 - 26 = 180 - 26

7n = 154         <em>divide both sides by 7</em>

7n/7 = 154/7

n = 22

Insert the value of n into expressions that specify angle measures:

m∠EFG = 5n + 16 → m∠EFG = 5(22) + 16 = 110 + 16 = 126°

m∠GFH = 2n + 10 → m∠GFH = 2(22) + 10 = 44 + 10 = 54°

8 0
3 years ago
Write the ratio of the first measurement to the second measurement.
vovikov84 [41]
Length of a tennis racket: 2 ft 4 in. 10. height of a table tennis net: 6 in. 
1:6

length of a table tennis paddle: 10 in. height of a tennis net: 3 ft
<span>10:17
</span>
diameter of a table tennis ball: 40 mm 12. length of a tennis court: 26 yd 
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diameter of a tennis ball: 6.8 cm length of a table tennis table: 9 ft
274:9
4 0
3 years ago
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