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torisob [31]
2 years ago
12

What is the value of x which proves that the runways are parallel? What is the measure of the larger angle?

Mathematics
2 answers:
Semenov [28]2 years ago
6 0

The answer is<u> C) x = 25; 107 degrees </u>

Temka [501]2 years ago
3 0

Answer:

The correct option is C.

Step-by-step explanation:

if a transversal line intersect two parallel lines then the sum of two consecutive exterior angles is 180 degrees.

The two consecutive exterior angles are 3x+32 and x+48.

3x+32+x+48=180

4x+80=180

4x=180-80

4x=100

x=25

The value of x is 25.

The measure of two consecutive exterior angles are

3x+32=3(25)+32=107

x+48=25+48=73

The measure of the larger angle is 107 degrees.

Therefore the correct option is C.

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What is the value of the expression below when x=4x=4? 7x^2 +8x-7 7x 2 +8x−7
Vinil7 [7]

Answer: 137

Step-by-step explanation:

The given expression: 7x^2 +8x-7

We need to find the value of the expression when x=4.

So we just use the substitution property and substitute the value of x= 4 in the given expression , we get

7(4)^2+8(4)-7\\\\= 7(16)+32-7\\\\= 112+25\\\\=137

Hence, the value of the expression at x=4 is 137.

3 0
2 years ago
Shawna and her best friend Keisha go shopping. The function p(x) = 3x4 + 2x3 − 4x2 + 21 represents how much money each girl spen
tino4ka555 [31]

Answer:

$69

Step-by-step explanation:

Given the amount of money each girl spent based on the number of hours they were shopping modeled by the function p(x) = 3x4 + 2x3 − 4x2 + 21

To get how much they spend together if each go shopping for 2hours, we will substitute x = 2 into the given function as shown:

p(2) = 3(2)⁴ + 2(2)³ − 4(2)² + 21

p(2) = 3(16) + 2(8) − 4(4) + 21

p(2) = 48 + 16 − 16 + 21

p(2) = 48+21

p(2) = 69

Therefore they spend $69 together

5 0
2 years ago
Find a ⋅ b. a = 8i + 6j, b = 4i + 5j
frutty [35]
You could rewrite this as double brackets, as you are multiplying together two sets of two terms. It would then look like:
(8i + 6j)(4i + 5j)
and you can expand by multiplying together all of the terms

8i × 4i = 32i²
8i × 5j = 40ij
6j × 4i = 24ij
6j × 5j = 30j²

To get your final answer, you then just need to add together all of the like terms, and get 32i² + 30j² + 64ij

I hope this helps!
7 0
2 years ago
Read 2 more answers
Question 2 (1 point)
hichkok12 [17]

Answer:

Rebecca does not have a return yet because the stock was not sold since there was a limit order at $33.

However, the value of her investment can be put around $2,400 (100 x $24 average price).

Step-by-step explanation:

Price of Havad Stock bought a year ago = $20

No. of shares = 100

Limit order selling price = $33

Stock prices during the limit order day = $23, $26, and $22

The stock cannot be sold, since its price did not reach $33.

Rebecca's limit order is an order to buy or sell her stock in Havad at $33 or better. Since her order is a sell limit order, it can only be executed at the limit price of $33 or higher.  Unfortunately, the price of the stock did not reach the limit order on that particular day.  This implies that her limit order is not guaranteed to execute.

8 0
2 years ago
Factorise 6x² -5x -21
Alex Ar [27]
I think it’s this but I’m not sure

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2 years ago
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