Answer:
m∠C=28°, m∠A=62°, AC=34.1 units
Step-by-step explanation:
Given In ΔABC, m∠B = 90°, , and AB = 16 units. we have to find m∠A, m∠C, and AC.
As, cos(C)={15}/{17}
⇒ angle C=cos^{-1}(\frac{15}{17})=28.07^{\circ}\sim28^{\circ}
By angle sum property of triangle,
m∠A+m∠B+m∠C=180°
⇒ m∠A+90°+28°=180°
⇒ m∠A=62°
Now, we have to find the length of AC
sin 28^{\circ}=\frac{AB}{AC}
⇒ AC=\frac{16}{sin 28^{\circ}}=34.1units
The length of AC is 34.1 units
Lines f and g are parallel and the two angles are same-side angles, so they add up to 180 degrees. An equation for this would add up to 180, then solve for x to find the answer to the problem.
5x + (9x + 26) = 180, combine the like terms.
14x + 26 = 180, subtract 26 from both sides.
14x = 154, divide both sides by 14.
x = 11; so your answer is B. 11.
<h3>
Answer: Choice A</h3><h3>
-8 < x < 8</h3>
==============================================
Explanation:
We're told that x is greater than -8, so x > -8 which is the same as -8 < x
At the same time, x is also less than 8, meaning x < 8
Combining -8 < x and x < 8 together forms the compound inequality
-8 < x < 8
Basically saying "x is some number between -8 and 8. X cannot equal -8 nor can it equal 8"
On a number line, we can visually show this by having two open circles at -8 and 8, then shading the region between the open circles. The open circles tell us "this value is not part of the solution set"