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KatRina [158]
3 years ago
11

In a 30°- 60° - 90° right triangle, the longer leg has a length of 10 square root of 3. what is the length of the shorter leg?

Mathematics
1 answer:
shutvik [7]3 years ago
3 0
In a 30°-60°-90° triangle, the longer leg is √3 times the shorter leg. In your triangle, ...
  the shorter leg is 10.
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Your family loves turkey! Uncle Bill ate 1/4 of the turkey, cousin Chris ate 15% of the turkey, cousin Timmy ate 0.3 of the turk
Sladkaya [172]
(1 / 4) = .25
.25 * 100% = 25%
Uncle Bill ate 25%
Cousin Chris ate 15%
.3 * 100% = 30%
Cousin Timmy ate 30%
Little Dave ate 12%
You ate none.

Cousin Timmy ate the most, 18% of the turkey is left, and 82% of the turkey was eaten.


Defend my work in writing:

I converted my fractions and decimals to percents to find the different percents eaten for each person.
6 0
4 years ago
Given: Right triangles CES and RST. In two or more complete sentences, explain what additional information is needed to prove tr
masya89 [10]
You know one angle is 90 degrees because they are right triangles. In order to prove CES congruent to RST, you would need two legs, three angles, or a leg and an included angle.
7 0
3 years ago
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Choose the equation that represents the graph below: (1 point) Graph of a line passing through points 0 comma 6 and 9 comma 0 y
aleksklad [387]

Answer:

Option C is correct.

Equation of a line y=\frac{-2}{3}x+6 passing through (0,6) and (9,0).

Explanation:

Given the two points (0, 6) and (9 ,0).

To find the equation for the given two points (x_{1},y_{1}) and (x_{2},y_{2}) is,

y-y_{1}=m(x-x_{1}); where m is the slope and is given by:

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

First find the slope m:

m=\frac{0-6}{9-0} =\frac{-6}{9} =\frac{-2}{3}

Substitute this value in equation of line:

y-6=\frac{-2}{3} (x-0) or

y-6=\frac{-2}{3} x

⇒ y=\frac{-2}{3}x+6

Therefore, the equation for the given point is:  y=\frac{-2}{3}x+6


7 0
3 years ago
8x-4y=-12 ,x=-3,-1,1
11Alexandr11 [23.1K]

Answer:

Step-by-step explanation:

54.08

4 0
3 years ago
Kylie explained that (negative 4 x + 9) squared will result in a difference of squares because (negative 4 x + 9) squared = (neg
Eva8 [605]

Given:

The given expression is:

(-4x+9)^2

According to Kylie,

(-4x+9)^2=(-4x)^2+(9)^2

(-4x+9)^2=16x^2+81

To find:

The correct statement for Kylie's explanation.

Solution:

We have,

(-4x+9)^2

According to the perfect square trinomial (a+b)^2=a^2+2ab+b^2.

(-4x+9)^2=(-4x)^2+2(-4x)(9)+(9)^2

(-4x+9)^2=16x^2-72x+81

Kylie did not understand that this is a perfect square trinomial, and she did not determine the product correctly.

Therefore, the correct option is C.

4 0
3 years ago
Read 2 more answers
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