Answer: 79=8h +22
Step-by-step explanation: 79 total needed 8h equals 8 times her hourly earning plus 22 what she already haves should equal 79.
Answer:
The original distance between Dallas and Houston is 240 miles.
Step-by-step explanation:
The scale on a map is 1 cm = 50 miles.
That means, 1 cm length in the drawing is equivalent to 50 miles original distance.
We have to find the actual distance between Dallas and Houston, which are 4.8 cm distant on the map.
So, 4.8 cm length in the drawing will be equivalent to (50 × 4.8) = 240 miles.
Therefore, the original distance between Dallas and Houston is 240 miles. (Answer)
Answer:
896
Step-by-step explanation:
Answer:
m<ABC = 71°
Step-by-step explanation:
Given:
m<BCA = 71°
x = 31 cm
y = 50 cm
Required:
m<ABC
Solution:
First, find AB, using Cosine Rule:
AB² = x² + y² - 2xy*Cos m<ABC
Plug in the values
AB² = 31² + 50² - 2(31)(50)*cos 71
AB² = 3,461 - 1,009.26128
AB² = 2,451.73872
AB = √2,451.73872
AB = 49.5150353 ≈ 50 cm
✔️Since AB ≈ 50 cm, and AC is also 50 cm, it means the triangle is an isosceles triangle.
Therefore, the base angles of ∆ABC, <ABC and <BCA, would be congruent.
Therefore,
m<BCA = m<ABC = 71°
m<ABC = 71°
3+ x/2 = 10 Given
x/2 = 7 Subtraction property of equality
x = 14 Multiplication property of equality