Consider kite WXYZ.

Mathematics

2 answers:

kondaur [170]3 years ago

8 0

Answer:

a = 8; b = 40

Step-by-step explanation:

<em>See attached</em>

<h3>Given </h3>

XY = 3a - 5
YZ = a + 11
∠W = 50°
∠X = 3b
∠Y = 70°

Values of a and b

<h3>Solution</h3>

<u>Since XY and YZ are congruent sides, XY = YZ</u>

3a - 5 = a + 11
3a - a = 11 + 5
2a = 16
a = 8

<u>The angles Z and X are equal and the sum of 4 angles is 360°, therefore:</u>

3b + 3b + 50° + 70° = 360°
6b + 120° = 360°
6b = 240°
b = 40°

<u>Correct option is the last one </u>

a = 8; b = 40°

Inessa [10]3 years ago

4 0

Answer:

a = 8; b = 40 btw question answer is 62 and 15 and the very next one is 21 and the next one is 119 and 105

Step-by-step explanation: BECAUSE I JUST GOT IT RIGHT .

You might be interested in

The point P(1,1/2) lies on the curve y=x/(1+x). (a) If Q is the point (x,x/(1+x)), find the slope of the secant line PQ correct

lukranit [14]

Answer:

See explanation

Step-by-step explanation:

You are given the equation of the curve

$y=\dfrac{x}{1+x}$

Point $P\left(1,\dfrac{1}{2}\right)$ lies on the curve.

Point $Q\left(x,\dfrac{x}{1+x}\right)$ is an arbitrary point on the curve.

The slope of the secant line PQ is

$\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{\frac{x}{1+x}-\frac{1}{2}}{x-1}=\dfrac{\frac{2x-(1+x)}{2(x+1)}}{x-1}=\dfrac{\frac{2x-1-x}{2(x+1)}}{x-1}=\\ \\=\dfrac{\frac{x-1}{2(x+1)}}{x-1}=\dfrac{x-1}{2(x+1)}\cdot \dfrac{1}{x-1}=\dfrac{1}{2(x+1)}\ [\text{When}\ x\neq 1]$