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Vlada [557]
3 years ago
15

In ΔDEF, the measure of ∠F=90°, FE = 84, ED = 85, and DF = 13. What ratio represents the sine of ∠E?

Mathematics
1 answer:
Oksanka [162]3 years ago
4 0
13/85
Step-by-step explanation:
'sin' is the ratio of the opposite side to the hypotenuse of the given angle in a right angled triangle
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Find the equation of the line that passes through the following two points: (3, -7) and (7, 2)
Wittaler [7]

Answer:

y=\frac{9}{4}x-\frac{55}{4}

Step-by-step explanation:

Slope-intercept form: y = mx + b

Slope formula: \frac{y2-y1}{x2-x1}

Given points: (3, -7), (7, 2)

(3, -7) = (x1, y1)

(7, 2) = (x2, y2)

To write the equation in slope-intercept form, we need to find the slope(m) and the y-intercept(b) of the equation.

First, let's find the slope. To do this, input the given points into the slope formula:

\frac{2-(-7)}{7-3}

Simplify:

2 - (-7) = 2 + 7 = 9

7 - 3 = 4

\frac{9}{4}

The slope is \frac{9}{4}.

To find the y-intercept, input the slope and one of the given points(in this example I'll use point (7, 2)) into the equation and solve for b:

2=\frac{9}{4}(7)+b

2=\frac{63}{4}+b

-\frac{55}{4} =b

The y-intercept is -\frac{55}{4}.

Now that we know the slope and the y-intercept, we can write the equation:

y=\frac{9}{4}x-\frac{55}{4}

6 0
3 years ago
W<br>3:<br><img src="https://tex.z-dn.net/?f=2x%28x%20-%203%29%20%3D%200%20" id="TexFormula1" title="2x(x - 3) = 0 " alt="2x(x -
katrin [286]

Answer:

x = 3, x = 0

Step-by-step explanation:

To solve these factored equations, just divide each part by zero and solve.

2x(x-3) = 0 → (x-3) = 0, and 2x = 0.

(x-3) = 0 → x - 3 + 3 = 0 + 3 → <u>x = 3.</u>

2x = 0 → 2x/2 = 0/2 → <u>x = 0.</u>

5 0
3 years ago
Janet made 75 more cookies to sell at the
UNO [17]

Answer:

200

Step-by-step explanation:

Janet = x + 75

Kathy = x

2x + 75 = 325

2x = 325 - 75

2x = 250

x/Kathy = 125

x + 75/Janet = 125 + 75

= 200

4 0
3 years ago
Please help me solve this.
Bingel [31]

Answer:

5 is -8

Step-by-step explanation:

because u keep going down a number like -9 -10 -11 and it keeps going

3 0
3 years ago
PLEASE HELP ASAP
Art [367]

Step-by-step explanation:

option C

hope it helps

thank you

4 0
2 years ago
Read 2 more answers
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