Please help, its so simple

Mathematics

2 answers:

wariber [46]4 years ago

8 0

Answer:

117 degrees

Step-by-step explanation:

Here, we need to use the fact that there is 180 degrees in each triangle. Let's first find the angle that is supplementary to the angle labelled 101 degrees.

Because these two angles are supplementary, they add up to 180, so we can find that interior angle by subtracting 101 from 180: 180 - 101 = 79 degrees.

Now, we know two angles in the triangle: 38 degrees and the one we just found, 79 degrees. To find the third angle, we just subtract 38 and 79 from 180 (because all angles in a triangle add up to 180): 180 - 38 - 79 = 63 degrees.

Notice that this angle that is 63 degrees is actually the supplementary angle if x, so simply subtract 63 from 180 to get x: 180 - 63 = 117 degrees.

Hope this helps!

antoniya [11.8K]4 years ago

5 0

Answer:

117

Step-by-step explanation:

Subtract from 180 to get interior and exterior angles.

180 - 101 = 79

79 + 38 = 117

180 - 117 = 63

180 - 63 = 117

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jekas [21]

Given: In the given figure, there are two equilateral triangles having side 50 yards each and two sectors of radius (r) = 50 yards each with the sector angle θ = 120°

To Find: The length of the park's boundary to the nearest yard.

Calculation:

The length of the park's boundary (P) = 2× side of equilateral triangle + 2 × length of the arc

or, (P) = 2× 50 yards + 2× (2πr) ( θ ÷360°)

or, (P) = 2× 50 yards + 2× (2×3.14× 50 yards) ( 120° ÷360°)

or, (P) = 100 yards + 2× (2×3.14× 50 yards) ( 120° ÷360°)

or, (P) = 100 yards + 209.33 yards

or, (P) = 309.33 yards ≈309 yards

Hence, the option D:309 yards is the correct option.

7 0

4 years ago

Read 2 more answers

7.60. When Paul crossed the finish line of a 60-meter race, he was ahead of Robert by 10 meters and ahead of Sam by 20 meters. S

Lelechka [254]

Answer:

The number of meters Robert will beat Sam is 12 meters.

Step-by-step explanation:

Given:

When Paul crossed the finish line of a 60-meter race, he was ahead of Robert by 10 meters and ahead of Sam by 20 meters. Suppose Robert and Sam continue to race to the finish line without changing their rates of speed.

Find:

the number of meters by which Robert will beat Sam

Step 1 of 1

When Paul finishes, Robert has run 60-10=50 meters and Sam has run 60-20=40 meters.

Therefore, when Robert and Sam run for the same amount of time, Sam covers $\frac{40}{50}=\frac{4}{5}$ of the distance that Robert covers. So, while Robert runs the final 10 meters of the race, Sam runs $\frac{4}{5} \cdot 10=8$ meters.