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3 years ago

A figure with parallel lines m and n is shown. What is the measure, in degrees, of angle b?

Mathematics

1 answer:

Radda [10]3 years ago

3 0

Answer:

48°

Step-by-step explanation:

Not sure if you've learner this yet, but the two angles shown are called alternate exterior angles. To make it a little bit easier, 48° has to be the answer since it's the only other angle shown. But to explain it more..

There's corresponding and vertical angles which can be used to solve this equation. There are four spots that would equal 48°, including "b". Corresponding angles are in the same spot, but different sections. There's also vertical angles, which are right across from each other. If you apply vertical and corresponding angles b will be 48°.

Please let me know if you don't really understand what I attempted to explain. If you haven't gone into depths about what I talked about, just think about the first paragraph/section.

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11. Which point is not on the graph of 2x + 3y - Z - 12 = 0?

patriot [66]

Show the graph? i can’t really tell what the answer is without the graph being there.

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2 years ago

Violet is playing a board game with her friends. She earns 78 points during the game, and she receives a game-end bonus for achi

Oxana [17]

Answer:

Step-by-step explanation:

78 + b = 91 Equation: Subtract 78 from both sides.

b = 91 - 78

b = 13

You don't need her position in the game or the fact that 91 placed her second.

6 0

2 years ago

An 8-sided die is formed when two square pyramids are attached by their bases. The perimeter of the base shape is 6 centimeters.

lawyer [7]

Answer:

7.5cm²

Complete question:What is the surface area of the 8-sided figure?

Step-by-step explanation:

Consider the half of the 8-sided die i.e the pyramid ABCDE:

As the base is 6 of the perimeter, so each side of the base is 6/4=3/2

Now, the distance between the tallest points is 2 cm, so the height of Pyramid ABCDE is 1 cm.

Considering the right triangle EOM:

EO=1, OM= 3/4 (it is half of AB=3/2) and EM is the hypothenuse, so by the pythagorean theorem length of EM is

$\sqrt{1+ ( \frac{3}{4} )^{2} }= \sqrt{1+ \frac{9}{16} }= \sqrt{ \frac{25}{16} }= \frac{5}{4} (cm)$

5. So side EBC has area

$\frac{1}{2}BC*EM= \frac{1}{2}* \frac{3}{2}* \frac{5}{4}= \frac{15}{16}$

6. The total area is 8*Area(EBC)= $8* \frac{15}{16}= \frac{15}{2}=7.5 ( cm^{2} )$

3 0

3 years ago

Each week our school’s team travels to other schools for competitions. Today the five members of the gymnastics team and seven w

Aliun [14]

Answer: The answer is 9.

Step-by-step explanation: Given that five members of gymnastics team and 7 members of weight lifting team are travelling in two vans to the rival school for competition. We are to find the number of ways in which they can ride in two vans such that no van contains more than eight passengers and there is at least one member of each team in each van.

Let 'g' and 'w' denote a member of gymnastics team and weight lifting team respectively.

Then, the possibilities are

For 1 g, we can choose 3w, 4w, 5w, 6w.

For 2g, we can choose 2w, 3w, 4w, 5w, 6w.

For 3g, we can choose 1w, 2w, 3w, 4w, 5w.

For 4g, we can choose, 1w, 2w, 3w, 4w.

Therefore, there are (4 + 5 + 5 + 4) = 18 ways.

Since, here the position of the vans does not matter, so the options are double here. Hence, we must divide it by 2.

Thus, the total number of ways = 9.

4 0

3 years ago

Determine the slope of the following graph.

evablogger [386]

Answer:

2/1 or 2

Step-by-step explanation:

if you find a spot were the line is line up with the boxes in the graph like at (-2,0) up 2 and right one you will see the line is lined up again and since slope is rise/run its 2/1 or 2

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2 years ago