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densk [106]
3 years ago
7

10. Find the measure of exterior angle TUV below. Record your answer on the grid.

Mathematics
1 answer:
Alborosie3 years ago
3 0

Answer:

41

Step-by-step explanation:

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Find the area of the right triangle △DEF with the points D (0, 0), E (1, 1), and F.
Tems11 [23]

Answer:

The area of the triangle is  \sqrt{3}

Step-by-step explanation:

Given:

Coordinates D (0, 0), E (1, 1)

Angle  ∠DEF = 60°

△DEF is a Right triangle

To Find:

The area of the triangle

Solution:

The area of the triangle is  = \frac{1}{2}(base \times height)

Here the base is Distance between D and E

calculation the distance using the distance formula, we get

DE  = \sqrt{(0-1)^2 + (0-1)^2}

DE =\sqrt{(-1) ^2 + (-1)^2

DE = \sqrt{1+1}

DE = \sqrt{2}

Base = \sqrt{2}

Height is DF

DF =tan(60^{\circ}) \times DE

DF = \sqrt{3} \times DE

DF = \sqrt{3} \times\sqrt{2}

Now, the area of the triangle is

= \frac{1}{2}({\sqrt{2})(\sqrt{3} \times \sqrt{2})

=\frac{1}{2}({\sqrt{2})(\sqrt{3} \sqrt{2})

=\frac{1}{2}(2\sqrt{3} )

=\sqrt{3}

6 0
3 years ago
BRAINLIEST WILL GET 50PTS!!! Please show work!!! Thank you :)
-BARSIC- [3]
The first one would be (2x)(7) and plus the other 75 it would be 738 with that in total of it c 5 3-15
8 0
3 years ago
What figure has properties of all sides congruent and all right angles?
andre [41]
A. Rectangle


Here bestie
7 0
3 years ago
1. Kalena was asked to prove ifx(x - 1)(x + 1) = x3 - X represents a polynomial identity. She
Verdich [7]

Answer:

C. Kalena made a mistake in Step 3. The justification should state: -x²

+ x²

Step-by-step explanation:

Given the function x(x - 1)(x + 1) = x3 - X

To justify kelena proof

We will need to show if the two equations are equal.

Starting from the RHS with function x³-x

First we will factor out the common factor which is 'x' to have;

x(x²-1)

Factorising x²-1 using the difference of two square will give;

x(x+1)(x-1)

Note that for two real number a and b, the expansion of a²-b² using difference vof two square will give;

a²-b² = (a+b)(a-b) hence;

Factorising x²-1 using the difference of two square will give;

x(x+1)(x-1)

Factorising x(x+1) gives x²+x, therefore

x(x+1)(x-1) = (x²+x)(x-1)

(x²+x)(x-1) = x³-x²+x²-x

The function x³-x²+x²-x gotten shows that kelena made a mistake in step 3, the justification should be -x²+x² not -x-x²

6 0
3 years ago
The hawks soccer team won 12 out of 14 games. If this rate continues, how many games will they win if they play a total of 21 ga
Schach [20]
1) 12 out of 14 = 85% Win Rate
2) Now you have to figure out what is 85% of 21 so you have to plug in what you have ? out of 21 = .85
3) Multiply 21 x .85 
4) Answer is They will win 18 out of 21 games


8 0
3 years ago
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