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2 years ago

Find mZ1 and mZ2 . I cant figure it out

Mathematics

1 answer:

Ede4ka [16]2 years ago

8 0

Answer:

∠ 1 = 110°, ∠ 2 = 70°

Step-by-step explanation:

∠ 1 and 110° are vertical angles and are congruent, thus

∠ 1 = 110°

∠ 1 and ∠ 2 are same- side interior angles and supplementary, sum to 180°

∠ 1 + ∠ 2 = 180°

110° + ∠ 2 = 180° ( subtract 110° from both sides )

∠ 2 = 70°

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One smartphone plan costs $52 per month for talk and messaging and $8 per gigabyte of data used each month. A second smartphone

valina [46]

Answer:

Both plans would cost $100 if 6 gigabytes of data are used.

Explanation:

From the question, the system of equation are correctly represented by using small letter c to represent the total cost in dollars for both equations as already assumed in the question as follows:

c = 52 + 8d ........................... (1)

c = 82 + 3d ........................... (2)

Since c is common to both, equations (1) and (2) can therefore be equated and d solved for as follows:

52 + 8d = 82 + 3d

8d - 3d = 82 - 52

5d = 30

d = 30 / 5

d = 6

Substituting d = 6 into equation (1), we have:

c = 52 + (8 * 6)

c = 52 + 48

c = 100

Since d = 6 and c = 100, it therefore implies that both plans would cost $100 if 6 gigabytes of data are used.

5 0

2 years ago

What value of x makes x/20 and 3/4 proportionate

hodyreva [135]

The Answer is x=15. Good luck!

8 0

2 years ago

Read 2 more answers

Carley beat the school record for the 400 meter run by 1.3 seconds. If she ran the race in 55.7 seconds, what was the record.

dybincka [34]

Answer:

57 seconds

Step-by-step explanation:

55.7 + 1.3 = 57 seconds

8 0

2 years ago

1. (a). A police car, approaching right-angled intersection from the north, is chasing a speedmg

tamaranim1 [39]

Answer:

<em>The SUV is running at 70 km/h</em>

Step-by-step explanation:

<u>Speed As Rate Of Change </u>

The speed can be understood as the rate of change of the distance in time. When the distance increases with time, the speed is positive and vice-versa. The instantaneous rate of change of the distance allows us to find the speed as a function of time.

This is the situation. A police car is 0.6 Km above the intersection and is approaching it at 60 km/h. Since the distance is decreasing, this speed is negative. On the other side, the SUV is 0.8 km east of intersection running from the police. The distance is increasing, so the speed should be positive. The distance traveled by the police car (y) and the distance traveled by the SUV (x) form a right triangle whose hypotenuse is the distance between them (d). We have:

$d=\sqrt{x^2+y^2}$

To find the instant speeds, we need to compute the derivative of d respect to the time (t). Since d,x, and y depend on time, we apply the chain rule as follows:

$\displaystyle d\ '=\frac{x.x'+y.y'}{\sqrt{x^2+y^2}}$

Where x' is the speed of the SUV and y' is the speed of the police car (y'=-60 km/h)

We'll compute :

$d=\sqrt{(0.8)^2+(0.6)^2}=\sqrt{0.64+0.36}$

$d=1\ km$

We know d'=20 km/h, so we can solve for x' and find the speed of the SUV

$\displaystyle \frac{x.x'+y.y'}{\sqrt{x^2+y^2}}=20$

Thus we have

$x.x'+y.y'=20$

Solving for x'

$\displaystyle x'=\frac{20-y.y'}{x}$

Since y'=-60

$\displaystyle x'=\frac{20+0.6(60)}{0.8}$

$x'=70\ km/h$

The SUV is running at 70 km/h

7 0

3 years ago

When x = 12,y = 8 find x when y = 12

nikklg [1K]

$x=12\ \ and\ \ y=8\\\
x=?\ \ \ and\ \ y=12\\\\ Making\ ratio:\\\\
12-8\\x-12\\\\
Cross\ multiplication:\\\\
12*12=8x\\\\
144=8x\ \ \ | divide\ by\ 8\\\\x=18\\\\For\ y=12\ x=18.$

7 0

3 years ago