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Anika [276]
3 years ago
11

Below are two parallel lines with a third line intersecting them 149

Mathematics
1 answer:
Eduardwww [97]3 years ago
3 0

I think x = 31°

I solved it like this

x + 149 = 180

x = 180 - 149

x = 31 °

I hope I helped you^_^

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Andreas93 [3]
YOU JUST BROUGHT BACK A OLD MEMORY!!
3 0
3 years ago
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If (x + 1) is a factor of 2x - kx²-8x + 5, find the value of k.<br>[ Using Factor Theorem ]​
Alla [95]

Answer:

k = 11

Step-by-step explanation:

What the factor theorem is telling us is that if x + 1 is a factor of 2x - kx²-8x + 5 then when x = - 1 is put into the equation, the result will be 0. That's because x +1 = 0 when x  = - 1

f(-1) = 2(-1) - k(-1)^2 - 8(-1) + 5

f(-1) = -2 - k(1) + 8 + 5 = 0

-k*(1) + 11 = 0

-k = -11

k = 11

7 0
3 years ago
What is the value of p?<br><br> p + 99 = 107<br><br> Enter the answer in the box.<br><br> p =
madreJ [45]

Answer:

The answer is 8

Step-by-step explanation:

p + 99 = 107

p + 99 – 99 = 107 – 99

p = 8

Thus, The value of p is 8

<u>-TheUnknownScientist 72</u>

7 0
2 years ago
Read 2 more answers
William says to Gracie, "If you give me $7.50,we will have and equal amount of money. "Grace responds, "That may be true, but if
Ede4ka [16]

Answer:

The amount that William has at the beginning is $37.50 and the amount that Gracie has at the beginning is $52.50

Step-by-step explanation:

Let

x ---> amount that William has at the beginning

y ---> amount that Gracie has at the beginning

we know that

William says to Gracie, "If you give me $7.50,we will have and equal amount of money

so

x+7.50=y-7.50

y=x+15.00 ----> equation A

"Grace responds, if you give me $ 7.50 instead, I will have twice as much money as you

2(x-7.50)=(y+7.50)

2x-15.00=y+7.50

2x-y=22.50 ----> equation B

substitute equation A in equation B

2x-(x+15.00)=22.50

solve for x

x=22.50+15.00=37.50

Find the value of y

y=37.50+15.00=52.50

therefore

The amount that William has at the beginning is $37.50 and the amount that Gracie has at the beginning is $52.50

5 0
4 years ago
Which statements are true given the histogram? Check all that apply.
vova2212 [387]

Answer:

(a)The histogram is symmetrical. FALSE  

(b) The histogram is evenly distributed.  FALSE

(c) The cluster from 4 p.m.-10 p.m. means that most of  the texts were sent in the afternoon and evening. TRUE  

(d) More texts were sent from 6 p.m.-8 p.m. than from 8  p.m.-10 p.m.  FALSE.  

(e)The peak from 4 p.m.-6 p.m. means that the highest  number of texts was sent during this interval. TRUE

Step-by-step explanation:

(a)The histogram is symmetrical.  

FALSE, as the histogram has no line of symmetry.

(b) The histogram is evenly distributed.  

FALSE,  the histogram is not evenly distributed as there is no data in the  

10: AM to 3:00 PM slot.

(c) The cluster from 4 p.m.-10 p.m. means that most of  the texts were sent in the afternoon and evening.

TRUE, the data shows that the most texts were sent in afternoon and evening as it has the highest peaks in the given slot.

(d) More texts were sent from 6 p.m.-8 p.m. than from 8  p.m.-10 p.m.

The number of texts sent from  6 p.m.-8 p.m = 19

The number of texts sent  from 8  p.m.-10 p.m = 29

But, 19 < 29

Hence, the given statement is FALSE.

(e)The peak from 4 p.m.-6 p.m. means that the highest  number of texts was sent during this interval.  TRUE, the highest peak indicates the highest number of texts sent in the given interval.

8 0
3 years ago
Read 2 more answers
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