Answer:
68° and 112°
Step-by-step explanation:
Supplementary angles sum to 180°
let the smaller angle be x then the larger angle is x + 44 , then
x + x + 44 = 180 , that is
2x + 44 = 180 ( subtract 44 from both sides )
2x = 136 ( divide both sides by 2 )
x = 68
Smaller angle = 68° and
larger angle = x + 44 = 68 + 44 = 112°
Answer:
x = 9.
Step-by-step explanation:
-5 square root x =15
divide both sides by -5:
√x = 15/-5 = -3
Squaring both sides:
x = 9.
Answer:
The highest score is 94.
Step-by-step explanation:
Let the highest score be denoted by, <em>A</em>, the lowest score be, <em>B</em> and the middle score be <em>X</em>.
Then,
A + X + B = 87 × 3 = 261 ...(i)
X + B = 83.5 × 2 = 167 ...(ii)
⇒ B = 167 - X ...(iii)
A + X = 89 × 2 = 178 ...(iv)
⇒ A = 178 - X ...(v)
Substitute (iii) and (v) in (i) and solve for <em>X</em> as follows:
A + X + B = 261
178 - X + X + 167 - X = 261
345 - X = 261
X = 84
Substitute the value of <em>X</em> in (iii) and solve for B as follows:
B = 167 - X
= 167 - 84
= 83
Substitute the value of <em>X</em> in (v) and solve for A as follows:
A = 178 - X
= 178 - 84
= 94
Thus, the highest score is 94.
Answer:
1 'standard' drink usually refers to 5 ounces of wine (with 12% alcohol)
So 37 ounces will be 37/5 = 9 and 1/4 drinks
Answer:
y = 11
x = 8.6
Step-by-step explanation:
The small triangle with 30,32,y looks like right triangle
so according to formula a^2 + b^2 = c^2
so 30^2 + y^2 = 32^2
900 + y^2 = 1024
y^2 = 124 => y = 11
The larger triangle also looks like a right triangle
so according to formula a^2 + b^2 = c^2
(30 + 10)^2 + 22^2 = (32 + x)^2
1600 + 44 = (32 + x)^2
so (x + 32)^2 = 1644
x + 32 = 40.55
x = 40.55 = 32 = 8.55 = 8.6
