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kolezko [41]
3 years ago
10

The measure of a straight angle (2x+50) (6x+2)

Mathematics
1 answer:
fenix001 [56]3 years ago
7 0

Answer:

see below

Step-by-step explanation:

If the two angles form a straight angle, their sum is 180

2x+50  + 6x+2 = 180

Combine like terms

8x +52 = 180

Subtract 52 from each side

8x+52-52 = 180-52

8x =128

divide each side by 8

8x/8 = 128/8

x =16

2x+50 = 2(16)+50 = 32+50 = 82

6x+2 = 6(16)+2 =96+2 = 98

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kolbaska11 [484]

Answer:

The Susana swam the fastest.

Step-by-step explanation:

<u>Speed</u> : It is defined as the distance traveled per unit time.

<u>Formula used</u> : Speed = \frac{Distance}{Time}

First we have to determine speed of the following persons.

<u>For Tawni :</u>

Distance = 50 m

Time = 40.8 s

1.225 m/s which is the speed of Tawni.

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<u>For Pepita :</u>

Distance = 100 m

Time = 60.2 s

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<u>For Susana :</u>

Distance = 200 m

Time = 112.4 s

1.779 m/s which is the speed of Susana

From this we conclude that, in this problem meter affects the response and the speed of Susana is more than the Pepita and Tawani.

Thus, Susana swam the fastest.

7 0
3 years ago
Which of the following is equal to the product of 32 and 1/4 ?
Oxana [17]

Hey there!

The answer to your question is 8

In math, the "product of" represents multiplication, so we multiply the 2 numbers.

32 x 1/4 = 8

Hope this helps! Good luck, and have a great day!

8 0
3 years ago
Helpppp!! i’m willing to give all my points and brainliest, especially w explanation!
Rainbow [258]
Here are the basic rules for a right triangle:
One angle is always 90° or right angle.

The side opposite angle 90° is the hypotenuse.

The hypotenuse is always the longest side.

The sum of the other two interior angles is equal to 90°.

The other two sides adjacent to the right angle are called base and perpendicular.


a quick way to find angle 1, is just to look at the figure. there seems to be bisecting angles, so angle FCE and angle 1 are congruent. (meaning angle 1 is also 34 degrees)

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Galileo wanted to release a wooden ball and an iron ball from a height of 100 meters and measure the duration of their fall. He
kotegsom [21]

<u><em>Answer:</em></u>

He would need to climb 480.97 m

<u><em>Explanation:</em></u>

The ground, the plane to climb and the altitude (100 m) all form a right-angled triangle

Therefore, we can apply the special trig functions.

<u>These functions are as follows:</u>

sin(θ) = \frac{opposite}{hypotenuse}

cos(θ) = \frac{adjacent}{hypotenuse}

tan(θ) = \frac{opposite}{adjacent}

<u>From the diagram, we have:</u>

θ = 12°

The distance that he needs to climb is the hypotenuse

The altitude = 100 m is the opposite

<u>Therefore, we can use the sin function as follows:</u>

sin(12°) = \frac{100}{hypotenuse}

hypotenuse = \frac{100}{sin(12)}

hypotenuse = 480.97 meters to the nearest hundredth

Therefore, he would need to climb 480.97 meters

Hope this helps :)

5 0
3 years ago
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Step-by-step explanation:

a perpendicular slope is the negative reciprocal

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