C, 62
Line segment SQ=180, because it is a straight line
90+28=118
180-118=62
hope this helps:)
Answer:
12 * 2 + x * 2 = 54
x = 15
x is 15
Step-by-step explanation:
12 * 2 + x * 2 = 54
24 + x * 2 = 54
-24 -24
x * 2 = 30
/2 /2
x = 15
This question is incomplete because it lacks the diagram of the right angled triangle. Find attached to this answer the diagram of the right angle triangle.
Answer:
d-50
Step-by-step explanation:
Looking at the attached diagram, the only way to solve for this is the use of the trigonometric function. The trigonometric function to be used is the cosine function.
From the diagram, we are given
Hypotenuse = AB = 14
Adjacent = AC = 9
The measure of angle A to the nearest degree is calculated as:
cos θ = Adjacent / Hypothenuse
cos θ = 9/14
θ = cos -¹ (9/14) or arccos(9/14)
θ = 49.994799115°
To the nearest degree = 50°
Therefore,the measure of angle A to the nearest degree = 50°
Answer:
6 1/12
Step-by-step explanation:
3 2/3= 3 8/12, 1 3/4= 1 9/12, 2/3= 8/12 || add (3 8/12+ 1 9/12+ 8/12= 4 25/12= 6 1/12)

now, that's the equation or polynomial in factored form, hmmm we also know that it has a y-intercept of -11, namely, when x = 0 y = -11, well let's plug in a factor to it, that will reflect those values, namely say hmmm factor "a", so
![(x+4)(x+2)(x-1)=y\qquad \stackrel{\textit{adding "a" factor for vertical shift}}{a(x+4)(x+2)(x-1)}=y \\\\\\ \stackrel{\textit{we know that when x = 0, y = -11}}{a(0+4)(0+2)(0-1)=-11}\implies -8a=-11\implies a=\cfrac{-11}{-8}\implies a = \cfrac{11}{8} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\mathbb{FOIL}}{\cfrac{11}{8}(x^2+6x+8)}(x-1)=y\implies \cfrac{11}{8}(x^3+6x^2+8x-x^2-6x-8)=y \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \cfrac{11}{8}(x^3+5x^2+2x-8)=y~\hfill](https://tex.z-dn.net/?f=%28x%2B4%29%28x%2B2%29%28x-1%29%3Dy%5Cqquad%20%5Cstackrel%7B%5Ctextit%7Badding%20%22a%22%20factor%20for%20vertical%20shift%7D%7D%7Ba%28x%2B4%29%28x%2B2%29%28x-1%29%7D%3Dy%20%5C%5C%5C%5C%5C%5C%20%5Cstackrel%7B%5Ctextit%7Bwe%20know%20that%20when%20x%20%3D%200%2C%20y%20%3D%20-11%7D%7D%7Ba%280%2B4%29%280%2B2%29%280-1%29%3D-11%7D%5Cimplies%20-8a%3D-11%5Cimplies%20a%3D%5Ccfrac%7B-11%7D%7B-8%7D%5Cimplies%20a%20%3D%20%5Ccfrac%7B11%7D%7B8%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Cstackrel%7B%5Cmathbb%7BFOIL%7D%7D%7B%5Ccfrac%7B11%7D%7B8%7D%28x%5E2%2B6x%2B8%29%7D%28x-1%29%3Dy%5Cimplies%20%5Ccfrac%7B11%7D%7B8%7D%28x%5E3%2B6x%5E2%2B8x-x%5E2-6x-8%29%3Dy%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20~%5Chfill%20%5Ccfrac%7B11%7D%7B8%7D%28x%5E3%2B5x%5E2%2B2x-8%29%3Dy~%5Chfill)