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3 years ago

What is the measure of <x

Mathematics

2 answers:

alekssr [168]3 years ago

8 0

Answer:

14°

Step-by-step explanation:

We know that ∠PQS is a right angle.

We also know that ∠PQR is 76°.

So, to find ∠RQS, we can do 90°-76° = 14°

x° = 14°

snow_lady [41]3 years ago

6 0

Answer:

$\huge{ \boxed{ \bold{ \tt{x = 14 \degree}}}}$

Step-by-step explanation:

♨ First , let's know about complementary angles :

Two angle are said to be complementary if the sum of their measures is 90° .
The best way to think of a complementary angle is ' L - Pattern ' .

✎ Now, set up an equation and solve for x :

$\sf{x \degree + 76 \degree = 90 \degree}$

Move 76° to R.H.S ( Right Hand Side ) and change it's sign

➺ $\sf{x \degree = 90 \degree - 76 \degree}$

➺ $\boxed{ \bold{ \sf{x \degree = 14 \degree}}}$

And we're done !

Hope I helped!

Have a wonderful time ! ツ

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Juliette [100K]

Answer:

The T-shirt lands in the bleachers at a height of 14 feet.

Step-by-step explanation:

The point where they meet is the solution of the simultaneous system of equations:

$y = -\frac{1}{8}x^2+4x$ ...........................................(1)

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From (2),

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Substituting (3) in (1),

$\frac{2}{3}x-\frac{14}{3} = -\frac{1}{8}x^2+4x$

Multiply through by 24 (the LCM of 3 and 8, the denominators of the fractions)

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$16x - 112 = -3x^2+96x$

$3x^2-80x -112 = 0$

$(x-28)(3x+4) = 0$

$x-28 = 0$ OR $3x+4=0$

$x=28$ OR $x = -\frac{4}{3}$

The value of <em>y</em> represents the height.

Substituting for <em>x</em> in (3)

$y = \frac{2}{3}\times28-\frac{14}{3} = \frac{56}{3} - \frac{14}{3} = 14$

$y = \frac{2}{3}\times(-\frac{4}{3})-\frac{14}{3} = -\frac{8}{9} - \frac{14}{3} = -\frac{50}{9}$

We discard the negative answer.

Hence, the T-shirt lands in the bleachers at a height of 14 feet.

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3 years ago

What is the measure of <x​

What is the measure of <x