Step-by-step explanation:
convert decimal to fraction which is -(17/4) 2 to the second power, use exponent rules which is raise a fraction to a power, raise the numerator and the denominator to that power, and you get 289/16 more effective use 18 1/6
Since the sum of the angles of a triangle is 180 degrees, we simply have to add all the angles and equate it to 180 to solve for x. So:100 + 12x + 4 + 14x - 2 = 18026x = 78x = 3
So, x is equal to 3.
9514 1404 393
Answer:
- arc BC = 60°
- m∠ADC = 60°
- m∠AEB = 105°
- m∠ADP = 45°
- m∠P = 60°
Step-by-step explanation:
The sum of arcs of a circle is 360°. The given conditions tell us arc BC ≅ arc AB, so the four arcs of the circle have ratios ...
CB : BA : AD : DC = 2 : 2 : 3 : 5
The sum of ratio units is 2+2+3+5 = 12, so each one stands for 360°/12 = 30°. Then the arc lengths are ...
arc BC = arc BA = 60° . . . . 2 ratio units each
arc AD = 90° . . . . . . . . . . . . 3 ratio units
arc DC = 150° . . . . . . . . . . . .5 ratio units
The inscribed angles are half the measure of the intercepted arcs:
∠ADC = (1/2) arc AC = 1/2(120°) = 60°
∠ADP = 1/2 arc AD = 1/2(90°) = 45°
The angles at E are half the sum of the measures of the intercepted arcs.
∠AEB = (arc AB + arc CD)/2 = (60° +150°)/2 = 105°
Angle P is half the difference of the intercepted arcs.
∠P = (arc BD -arc AD)/2 = (210° -90°)/2 = 120°/2 = 60°
__
In summary, ...
arc BC = 60°
m∠ADC = 60°
m∠AEB = 105°
m∠ADP = 45°
m∠P = 60°
Answer:
The last 2 statements are true
Step-by-step explanation:
given f(x) = x² + 6x and g(x) = 2x³
f(x) × g(x) = 2x³(x² + 6x) = 2
+ 12
not 2 + 12x³
f(0) = 0 + 0 = 0 and g(2) = 2 × 2³ = 2 × 8 = 16
f(0 × g(0) = 0 × 16 = 0 ≠ 16
f(1) = 1 + 6 = 7 and g(1) = 2 × 1³ = 2
f(1) × g(1) = 7 × 2 = 14 ← True
g(x) × g(x) = 2x³ × 2x³ = 4
= 4
← True
Answer:
H
Step-by-step explanation:
In this question, I will assume that the cost refers to the selling price (original price without discount) of the hammer.
Let the cost of each hammer be c.
∴ Cost of 50 hammers= 50c
Cost of 50 hammers= amount paid +discount given
50c= 100 +25
Here, we add the discount given since the actual cost would be $25 more than the total amount the contractor paid.
Since none of the options match our equation above, let's rearrange the equation.
Subtract both sides by 25:
50c -25= 100
Thus, H is the correct option.
To learn more about forming equations, check out: brainly.com/question/22307092
