Answer:
Step-by-step explanation:
<u>8.</u> The angles are equal, so:
(2x+2) = (3x - 63)
-x = -61
x = 61
Angle (2x+2) is 124°
Angle (3x-63) is 120°
<u>9.</u> The sum of all angles in a triangle is 180°.
The sum of the two unknown angles is 90° [180° - 90° from the right angle°]
(8x+2) + (9x+3) = 90°
17x + 5 = 90°
17x = 85°
x = 5
The two angles are:
(8x+2) = 42°
(9x+3) = 48°
The simplified function of ![f(x) = \frac 14(\sqrt[3]{108^x})](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%2014%28%5Csqrt%5B3%5D%7B108%5Ex%7D%29)
is ![f(x) = \frac {3^x}4(\sqrt[3]{4})^x](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%20%7B3%5Ex%7D4%28%5Csqrt%5B3%5D%7B4%7D%29%5Ex)
<h3>How to simplify the base function?</h3>
The function is given as:
Expand 108
![f(x) = \frac 14(\sqrt[3]{27 * 4})^x](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%2014%28%5Csqrt%5B3%5D%7B27%20%2A%204%7D%29%5Ex)
Take the cube root of 27
![f(x) = \frac 14 * 3^x(\sqrt[3]{4})^x](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%2014%20%2A%203%5Ex%28%5Csqrt%5B3%5D%7B4%7D%29%5Ex)
Evaluate the product
Hence, the simplified function of is
Read more about functions at:
brainly.com/question/12431044
#SPJ1
Answer:
352 calls
Step-by-step explanation:
Each day he makes 7 calls and 36 days have gone by so you'll multiply 36 and 7.
<h3>
Answer: ASA</h3>
Explanation:
The arc markings for each angle show that we have two pairs of congruent angles (angle O = angle Q, angle M = angle R). This takes care of the two "A"s in "ASA". The tickmarks show us that the sides MO and RQ are the same length, so this takes care of the "S" of "ASA". Note the congruent sides are between the angles mentioned. The order is important.
