1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
MAVERICK [17]
2 years ago
6

Find the length of the leg, please help, will give brainliest

Mathematics
1 answer:
iren2701 [21]2 years ago
6 0

Answer:

7\sqrt{2}

Step-by-step explanation:

We know that the missing angle is 45 degrees and the hypotenuse is 14.

If both side angles equal to 45, according to base angle theorem, this triangle is isosceles.

Since this triangle is isosceles, the two legs must be equal. Let x be the legs.

According to the 45 45 90 triangle theorem, the hypotenuse is equal to \sqrt2*x

If 14 = \sqrt{2}*x

\frac{14}{\sqrt{2} } = x

Rationalize denominator

x = \frac{14}{\sqrt{2} } * \frac{\sqrt{2} }{\sqrt{2} }  = \frac{14\sqrt{2} }{2} = 7\sqrt{2}

The answer is 7\sqrt{2}

Hope this helps :)

You might be interested in
The slope of the line who passes through the points (-1, 2) and (3,-2) is
OleMash [197]
-4/2 which simplifies to -2/1
3 0
2 years ago
∠C and ​ ∠D ​ are vertical angles with m∠C=−3x+58 and m∠D=x−2 .<br><br><br><br> What is m∠D ?
11111nata11111 [884]
Vertical angles are equal

-3x + 58 = x - 2
-3x - x = -2 - 58
-4x = - 60
x = -60/-4
x = 15

m < D = x - 2....15 - 2 = 13 <====
m < C = -3x + 58....-3(15) + 58 = 13 
4 0
3 years ago
Read 2 more answers
A patrolman spends 25% every day completing paperwork. The patrolman’s shift each day is 8 hours. How much of his time does he s
fredd [130]
Assuming the man works 8 hours straight without breaks:

25% is the same as 1/4 of something.

So, we just have to figure out what 1/4 (one quarter) of 8 equals.

You can think of it as a pizza cut into 8 slices. One slice is equivalent to one hour for the patrolman.

If we take away 1/2 (half) of the pizza, we have 4 slices, right? Since we start with 8 slices, half of that equals 4 slices. In other words, 50% (half) of the pizza = 4 slices.

Now, 25% (one quarter) of the pizza will equal half of what is left:

If we know that 50%=4 slices (or 4 hours), then 25% must be 2 slices (or 2 hours).

That's it! 25% of 8 hours = 2 hours.

***So, the patrolman spends 2 hours each day completing paperwork.***

Lets check our work:
We know 8 hours (or 8 slices)= 100%
(We know this because
8 slices = 1 whole pizza, or 100% of a pizza. Similarly,
8 hours = 1 whole shift or 100% of the man's shift ).

So

25% + 25% + 25% + 25% = 100%

If 100% of the mans shift = 8 hours:

2+2+2+2 = 8

It checks out!


Hope this helps!



4 0
3 years ago
When a person purchases stock in a company, he is in reality loaning money to the company. True False
Alik [6]

I think it is False

God Bless

4 0
3 years ago
Read 2 more answers
61.7 is what percent of 64? Round to the nearest thousandth.
scoundrel [369]

Answer:

96.406%

Step-by-step explanation:

(61.7 ÷ 64) x 100 = 96.40625 = 96.406% (nearest hundredth)

8 0
2 years ago
Other questions:
  • 8(-5k+7)+5=301<br> Please help!!!
    10·2 answers
  • A sociologist records the annual household income (in thousands of dollars) among a sample of families living in a high-crime ne
    7·1 answer
  • Solve for x: 3 over 3 x plus 1 over quantity x plus 4 equals 10 over 7x .
    7·2 answers
  • Juan is hiking up a mountain starting at an elevation of 800 800 feet. Every hour, he is 2000 2000 feet higher in elevation.
    15·2 answers
  • Which distribution is likely to have a mean higher than the median?
    13·1 answer
  • The temperature at 9 A.M. was 42°F. The next four hours the temperature dropped 2 degrees per hour. What was the temperature at
    5·2 answers
  • Help me with this!!!!!!!!!
    6·2 answers
  • Two airplanes leave an airport at the same time, the first headed due north and the second at a bearing of N42^ E . At 2:00PM, t
    11·1 answer
  • PLS help i've been trying this for an hour i still don't get it
    10·1 answer
  • Help fast if you don’t know don’t answer
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!