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motikmotik
4 years ago
12

I need the answer to the image

Mathematics
1 answer:
Levart [38]4 years ago
7 0

Answer:

∠B = 156°

Step-by-step explanation:

A line intersects two parallel lines this means that their opposite angles are transversals specifically the angles, A and B. And transversal angles are congruent so I can make this claim below:

∠A = ∠B \\ 8x +78 = 2x +144

Solving for x:

8x +78 = 2x +144 \\ 8x -2x +78 = 2x -2x +144 \\ 6x +78 -78 = 144 -78 \\ 6x = 66 \\ \frac{6x}{6} = \frac{66}{6} \\ x = 11

Solving Angle B if x = 11.

∠B = 2x +144 \\ ∠B = 2(11) +144 \\ ∠B = 22 +144 \\ ∠B = 166

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Ron has 75 blue marbles and 125 red marbles. Enter the percent of blue marbles as a part of all marbles.
Ann [662]

Answer:

Step-by-step explanation:

% = Red / (Blue + red ) * 100

% = 75/(125 + 75) * 100

% = 75 / 200 * 100

% = 7500 / 200 = 37.5% are blue

5 0
3 years ago
Carry out the following operation as if it were a calculation of real experimental results. Express the answer in the correct un
Vladimir79 [104]

Answer:

a) 1.28

b) 2.57*10^-7 mg²

c) 8.14*10^7 dm

d) 3.79 m/s

e) 9.78*10^-3 mg

Step-by-step explanation:

a) 7.31 / 5.7 = 1.28, km/km is the same unit, so they cancel each other out. The answer is 1.28 without unit.

b) (3.26*10^-3) * (7.88*10^-5) = 2.57*10^-7 mg², here, mg * mg, this is mg²

c) (4.02*10^6) + (7.74*10^7) = 8.14*10^7 dm, here, the unit are added together, so we maintain it

d) (7.8 - 0.34) m / (1.15 + 0.82) m = 7.46 m / 1.97 m = 3.79 m/s, here, the numerator has the unit of m, and the denominator has the unit of s. Giving us m/s.

e) (9.88*10^-3) - (9.66*10^-5) = 9.78*10^-3 mg. Here, the unit was subtracted from each other, so we maintain it.

7 0
3 years ago
The cost of renting a car is $29.00 a day plus $0.25 for every kilometre after the first 100km. What is the cost of renting the
ira [324]

Answer:

$461

Step-by-step explanation:

First, find the cost with the daily charge of $29.

Multiply 14 by 29, since the car was rented for 14 days:

14(29)

= 406

Find the cost with the distance traveled. Since there is only a charge after the first 100 km, subtract 100 from 320.

320 - 100

= 220

Find the charge by multiplying this by 0.25:

220(0.25)

= 55

Add this to the daily charge:

55 + 406

= 461

So, the cost will be $461

3 0
3 years ago
Rick earned 36 extra credit points. Cindy earned e fewer extra credit points than Rick. Write
Aleks [24]

Answer:

36-e

Step-by-step explanation:

-

6 0
3 years ago
1) 3 (x - y)² - 10 (x-y) + 8​
katovenus [111]

Answer:

(3x-3y-4)(x-y-2)

Step-by-step explanation:

Given expression:

3(x-y)^2-10(x-y)+8

Let u = (x - y):

\implies 3u^2-10u+8

To factor a quadratic in the form  ax^2+bx+c  find two numbers that multiply to ac and sum to b:

\implies ac=3 \cdot 8=24

\implies b=-10

Therefore, the numbers are: -6 and -4.

Rewrite b as the sum of these two numbers:

\implies 3u^2-6u-4u+8

Factor the first two terms and the last two terms separately:

\implies 3u(u-2)-4(u-2)

Factor out the common term (u - 2):

\implies (3u-4)(u-2)

Substitute back in u = (x - y):

\implies (3(x-y)-4)((x-y)-2)

Simplify:

\implies (3x-3y-4)(x-y-2)

3 0
2 years ago
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