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4 years ago

Please help me with this question, image attached.

Mathematics

2 answers:

zaharov [31]4 years ago

7 0

Answer:

<3 = 110

Step-by-step explanation:

The angles are consecutive interior angles. They add up to 180 degrees when the lines are parallel.

<3 + <8 = 180

<3 + 70 =180

Subtract 70 from each side

<3 +70-70=180-70

<3 = 110

Lorico [155]4 years ago

5 0

Answer:

110 degrees.

Step-by-step explanation:

Angles 2 and 3 are supplementary, and angles 8 and 7 are supplementary.

Angles 3 and 7 are equal.

If angle 8 is equal to 70 degrees, angle 3 is equal to 110.

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Why is 1+(-5) equal to -4

erica [24]

1 + (-5) becomes 1 - 5 because you are adding a negative number.

1 - 5 is -4

5 0

4 years ago

Determine whether or not the given value is a solution for the equation. Answer Yes or No

igor_vitrenko [27]

Y=24 is a solution for the equation.

y/12=2 is solved by multiplying both sides by 12 to get y by itself. so you'd end up multiplying 2 • 12 which equals 24.

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3 years ago

What are the factors of the quadratic function graphed below?

natulia [17]

Answer:

Step-by-step explanation:

The zeros of the quadratic occur at x = 0 and x = 6

Thus the factors are x and x - 6

4 0

4 years ago

On his outward journey, Ali travelled at a speed of s km/h for 2.5 hours. On his return journey, he increased his speed by 4 km/

den301095 [7]

Answer:

3.08 km/h.

Step-by-step explanation:

We know that,

$Speed=\dfrac{Distance}{Time}$

Ali traveled at a speed of s km/h for 2.5 hours.

Let d be the distance and t be the time.

$2.5=\dfrac{d}{t}$

$2.5t=d$ ...(1)

On his return journey, he increased his speed by 4 km/h and saved 15 minutes. So, distance is d and times is t-15.

$4=\dfrac{d}{t-15}$

$4(t-15)=d$ ...(2)

From (1) and (2), we get

$4(t-15)=2.5t$

$4t-60-2.5t=0$

$1.5t=60$

$t=40$

Put t=40 in (1).

$d=2.5(40)=100$

So, t=40 and d=100.

Now,

Total distance = d + d = 100 + 100 = 200

Total time = t + t - 15 = 40 + 40 - 15 = 65

So, the average speed is

$\text{Average speed}=\dfrac{\text{Total distance}}{\text{Total time}}$

$\text{Average speed}=\dfrac{200}{65}$

$\text{Average speed}\approx 3.08$

Therefore, the average speed is 3.08 km/h.

3 0

4 years ago

Which of the following represents the prime factortzation of 72?

rjkz [21]

Answer:

2³ x 3²

Step-by-step explanation:

The prime factorization of a number is the process of breaking down a number to a set of prime numbers that their product will give the original number:

2 x 36

2 x 2 x 18

2 x 2 x 2 x 9

2 x 2 x 2 x 3 x 3

So;

The prime factorization is 2³ x 3²

8 0

3 years ago