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3 years ago

What is the measure of angle 4??? please help asap!!!

Mathematics

2 answers:

ArbitrLikvidat [17]3 years ago

7 0

<h3>Answer: 80 degrees</h3>

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Explanation:

Angle 3 and the 100 degree angle are corresponding angles. They are both in the southeast quadrant of their four-corner angle configuration. Assuming the lines that look horizontal are parallel, this would mean angle 3 is 100 degrees. Recall that corresponding angles are congruent when we have parallel lines.

Once we know that angle 3 = 100, we will use this to find angle 4.

Angles 3 and 4 add to 180. They form a straight angle or straight line.

(angle3)+(angle4) = 180

(100) + (angle4) = 180

angle4 = 180-100

angle4 = 80 degrees

Rudiy273 years ago

4 0

80 degrees

because angle 4=angle8 and since angle 8+ 100degrees= a straight line (180 degrees) angle 4=80

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Jacob is working two summer jobs, making $10 per hour washing cars and making $8 per hour landscaping. In a given week, he can w

Burka [1]

Answer:

Step-by-step explanation:

Let x represent the number of hours that that he spent washing cars.

Let y represent the number of hours that that he spent landscaping.

In a week, he can work no more than 19 total hours. This means that

x + y ≤ 19- - - - - - - - - - - -1

Jacob is working two summer jobs, making $10 per hour washing cars and making $8 per hour landscaping. He must earn at least $170. This means that

10x + 8y ≥ 170 - - - - - - - - - -2

If Jacob worked 4 hours landscaping, it means that

x + 4 ≤ 19

x ≤ 19 - 4

x ≤ 15

Also,

10x + 8 × 4 ≥ 170

10x + 32 ≥ 170

10x ≥ 170 - 32

10x ≥ 138

10x ≥ 138/10

x ≥ 13.8

The minimum number of hours is 14

6 0

3 years ago

Please help and explain the question is in the picture

Digiron [165]

Answer: 123 square feet

Step-by-step explanation: The question is a little odd, but I can break it down easily. It wants us to find the area of a three foot border around his room.

First, the whole area of his room is 20 x 24 = 480

Next, we have to make the measurements 3 feet smaller on each wall, so 17 x 21 = 357

Finally, to find the area of the border, we simply do 480 - 357 = 123

He needs to buy 123 square feet of carpeting

Hope this helps!

8 0

3 years ago

Read 2 more answers

Samuel, Martín y Santiago salen a montar bicicleta de Cali hacia Palmira. La distancia entre Cali y Palmira es de 29.3 KM. En la

myrzilka [38]

Answer:

a) Martín recorrió más distancia, b) A Samuel, Martín y Santiago les falta 7.05, 7.55 y 7.883 kilómetros, respectivamente, c) La distancia recorrida promedio es 21.889 kilómetros, d) Martín recorrió 0.333 kilómetros más que Santiago.

Step-by-step explanation:

a) En primer lugar, convertimos la distancia recorrida por cada persona a su forma decimal:

Samuel

$\frac{178}{8}\,km = 22.25\,km$

Martin

$21\,km + \frac{3}{4}\,km = 21.75\,km$

Santiago

$21\,km + \frac{5}{12}\,km = 21.417\,km$

Como puede apreciarse, Martín recorrió más distancia.

b) La distancia faltante es igual a la sustracción de la distancia recorrida por la persona a la distancia total:

Samuel

$x = 29.3\,km -22.25\,km$

$x = 7.05\,km$

Martin

$x = 29.3\,km - 21.75\,km$

$x = 7.55\,cm$

Santiago

$x = 29.3\,km - 21.417\,km$

$x = 7.883\,km$

A Samuel, Martín y Santiago les falta 7.05, 7.55 y 7.883 kilómetros, respectivamente.

c) La distancia recorrida promedio se obtiene sumando las distancias recorridas de las tres personas y dividiendo el resultado por la cantidad de personas:

$\bar{x} = \frac{22.5\,km + 21.75\,km + 21.417\,km}{3}$