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tensa zangetsu [6.8K]
4 years ago
5

Geometry help!!

Mathematics
1 answer:
Eduardwww [97]4 years ago
3 0
It would be A, Side Angle Side (SAS).  Because you are given we congruent sides, and tow right angles.  Using the reasoning of "If two two angles are both right angles then they are congruent" you can prove the angles congruent. 

The reason it is not HL is because HL is used when it is given a right angle and the hypotenuse and one of the legs congruent.  Therefore the only choice is Side Angle Side (SAS).
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I beg of you solve it. A small Plane can travel 120 mph in still air. The plain can fly 700 miles with the wind in the same that
Fiesta28 [93]

Answer:

speed of the wind, w = 20 mph

Step-by-step explanation:

Let,

s = speed in still air = 120 mph

w = wind speed = ?

t = travel time in hours

Plane traveling with the wind, we have:

(v + w)t = 700

(120 + w)t = 700 ------------------(equation 1)

Plane traveling against the wind, we have:

(v - w)t = 500

(120 - w)t = 500 --------------------(equation 2)

From equation 1, make t subject of formula,

t = 700/(120 + w) -------------------(equation 3)

From equation 2, make t also subject of formula,

t = 500/(120 - w) ---------------------(equation 4)

It is the same t in both equations, so equating equation 3 and 4

700/(120 + w) = 500/(120 - w)

Solve for w.

500(120 + w) = 700(120 - w)

60000 + 500w = 84000 - 700w

500w + 700w = 84000 - 60000

1200w = 24000

w = 24000/1200

w = 20 mph

3 0
3 years ago
A tennis player keeps track of the number of successful first serves he makes. During the first 8 service points of a game, only
Andru [333]

Answer:

He needs 7 more consecutive successful first serves to raise his first serve percentage to 60%.

Step-by-step explanation:

After n consecutive serves, his total number of serves is going to be n+8, since he has already served 8 times. In the best case, his number of successful first serves is n+2.

His percentage of succesful first serves is the division of the number of succesful first serves divided by the total number of serves. So

P = \frac{n+2}{n+8}

We want P = 0.60. So

0.6 = \frac{n+2}{n+8}

n+2 = 0.6*(n+8)

n + 2 = 0.6n + 4.8

n - 0.6n = 4.8 - 2

0.4n = 2.8

n = \frac{2.8}{0.4}

n = 7

He needs 7 more consecutive successful first serves to raise his first serve percentage to 60%.

5 0
3 years ago
Simplify. 6√20−3√8<br> Enter your answer, in simplest radical form
tresset_1 [31]
<h3>♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>

➷  \sqrt{20} can be simplified to 2\sqrt{5}

Multiply 2 by 6 to get the simplified version for part 1

= 12\sqrt{5}

\sqrt{8} can be simplified to 2\sqrt{2}

Multiply 2 by 3 to get the simplified version:

= 6\sqrt{2}

It would be:

12\sqrt{5} - 3\sqrt{8}

<h3><u>✽</u></h3>

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

8 0
3 years ago
Read 2 more answers
Why do ratios work in math
vladimir2022 [97]
A ratios says how much of one thing there is compared to another thing and the trick with ratios is to always multiply or divide the numbers by the same value
6 0
4 years ago
Max earns $8.50 per hour working at this father’s shop. Last week he earned $136. Which equation would determine the number of h
Orlov [11]

Answer: 8.50h = 136 or 8.50 x h = 136

Step-by-step explanation:

However many hours he worked times how much he makeshifts per hour (8.50) would be like that . 8.50 x 16(h)= 136

8 0
3 years ago
Read 2 more answers
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