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xeze [42]
3 years ago
14

What are the measures of ∠1, ∠2, ∠3 and∠4 ? Enter your answers in the boxes.

Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
4 0

Step-by-step explanation:

Since line p and q is parallel, m∠2=61°.

m∠2 and m∠3 are in a straight line. thus, m∠2+m∠3 = 180°.

61° + m∠3 = 180°

m∠3 = 119°

total angle in triangle is 180°

m∠1 + m∠2 + 60° = 180°

m∠1 + 61° + 60° = 180°

m∠1 = 59°

m∠1 = m∠4 = 59°

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2. Trouvaughn bought b bags of oranges, which cost 80 cents per bag. If Trouvaughn paid with a
Damm [24]
Amount that trouvaughn paid : $0.80b
ten dollar bill = $10

so $(10-0.80b)
5 0
3 years ago
Given: g(x) = x - 4 and h(x) = 2x - 8,
kvasek [131]
Plug in 10 for x in h(x) then simplify
h(10)=2(10)-8
h(10)=20-8
h(10)=12

h(10) is 12 so put 12 in for g(x)
g(h(10))=12-4
g(h(10))=8

Here’s everything together
g(h(10))=(2(10)-8)-4
=(20-8)-4
=(12)-4
=8

This is what I’ve always done. I can’t really tell what your answers are so sorry if this isn’t right at all.
3 0
3 years ago
40. Find UW.<br> T<br> 6<br> 5<br> U +-<br> The measure of UW is<br> type your answer...
Ahat [919]

Answer:

9

Step-by-step explanation:

UT^2 = UV * UW

6^2 = (x - 7)(x - 7 + 5)

36 = (x - 7)(x - 2)

36 = x^2 - 2x - 7x + 14

x^2 - 9x - 22 = 0

(x - 11)(x + 2) = 0

x - 11 = 0  or  x + 2 = 0

x = 11

UW = x - 7 + 5

UW = 11 - 7 + 5

UW = 9

7 0
3 years ago
The area of a rectangular wall of a barn is 252 square feet. Its length is 10 feet longer than twice its width. Find the length
valentinak56 [21]

Answer: Length = 28 feet and width = 9 feet

Step-by-step explanation:

Let x = width of the wall.

Then, Length of the wall =  10+2x

Since , Area of rectangle = length x width

Then, as per given,

252= (10+2x)x\\\\\Rightarrow\ 252=10x+2x^2\\\\\Rightarrow\ 2x^2+10x-252=0\\\\\Rightarrow\ x^2+5x-126=0\\\\\Rightarrow\ x^2+14x-9x-126=0\\\\\Rightarrow\ (x+14)-9(x+14)=0\\\\\Rightarrow\ (x+14)(x-9)=0\\\\\Rightarrow\ x=-14 \ or \ x= 9

Since width cannot be negative , so x = 9

So width = 9 feet and length = 10+2(9)=10+18 = 28 feet

Hence, length is 28 feet and width is 9 feet of the wall of the barn.

7 0
3 years ago
A baseball player gets 7 hits in the first 15 games of the season. if he continues hitting at the same rate, how many hits will
inessss [21]
Hey there,
15 games = 7 hits
1 game = 7 / 15
             = <span>0.46666666666
45 games = </span><span>0.46666666666 x 45
                 = 21

Hope this helps :))

<em>~Top♥</em>
</span>
3 0
3 years ago
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