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3 years ago

A pair of vertical angles have measures (2y+5)° and (4y)°.

2 answers:

8 0

I believe with vertical angles, they are equal to each other.

Therefore,

2y + 5 = 4y

subtract 2y from both sides

5 = 2y

divide 2 from both sides

y = 5/2

Minchanka [31]3 years ago

4 0

2y+5=4y they are vertical angles which are eqaul
y=5/2

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Answer:

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Step-by-step explanation:

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Solve the equastion for x + 2 1/2 =10

Virty [35]

Answer:

x= 7 1/2

Step-by-step explanation:

Subtract the 1/2 to get it out of the way (whatever you do on one side of the = sign you have to do to the other)

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2 years ago

Multiply the polynomials (x + 3) (2x - 4). What is the product in the form ax2 + bx + c? Enter your answers in the boxes.

Anvisha [2.4K]

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3 years ago

Malcolm and Theo's families are both traveling to the same vacation resort.

snow_tiger [21]

Answer:

Malcom's family travel 15 miles per hour faster than Theo's

Step-by-step explanation:

<em>See attachment for complete question</em>

Given

Malcom's Family:

$d = 65t$

To determine the equation of Theo's family, we refer to the attached graph.

From the graph:

$t = 1; d = 50$

$t = 2; d = 100$

First, we determine the slope, m:

$m = \frac{d_2 - d_1}{t_2 - t_1}$

$m = \frac{100 - 50}{2- 1}$

$m = \frac{50}{1}$

$m = 50$

Next, we determine equation for Theo's family using:

$d - d_1 = m(t - t_1)$

$d - 50 =50(t - 1)$

$d - 50 =50t - 50$

Add 50 to both sides

$d - 50 +50=50t - 50 + 50$

$d =50t$

So, we have the following:

$d = 65t$ --- For Malcom's family

This implies that Malcom's family travel at 65 miles per hour

$d =50t$ --- For Theo's family

This implies that Theo's family travel at 50 miles per hour

The difference between this rates is:

$Rate = 65t - 50t$

$Rate = 15t$

<em>Which implies that Malcom's family travel 15 miles per hour faster than Theo's</em>

5 0

3 years ago