Step-by-step explanation:
S=smaller number; L=larger number=3S
.
4S+5L=133
4S+5(3S)=133
4S+15S=133
19S=133
S=7 ANSWER 1: The smaller number is 7.
.
L=3S=3(7)=21 ANSWER 2: The larger number is 21.
.
CHECK:
4S+5L=133
4(7)+5(21)=133
28+105=133
133=133
Answer:
11x+11
Step-by-step explanation:
Answer:
- m∠A ≈ 53.13°
- m∠B ≈ 73.74°
- m∠C ≈ 53.13°
Step-by-step explanation:
An altitude to AC bisects it and creates two congruent right triangles. This lets you find ∠A = ∠C = arccos(6/10) ≈ 53.13°.
Since the sum of angles of a triangle is 180°, ∠B is the supplement of twice this angle, so is about 73.74°.
m∠A = m∠C ≈ 53.13°
m∠B ≈ 73.74°
_____
The mnemonic SOH CAH TOA reminds you of the relation between the adjacent side, hypotenuse, and trig function of an angle:
Cos = Adjacent/Hypotenuse
If the altitude from B bisects AC at X, triangle AXB is a right triangle with side AX adjacent to the angle A, and side AB as the hypotenuse. AX is half of AC, so has length 12/2 = 6, telling you the cosine of angle A is AX/AB = 6/10.
A diagram does not have to be sophisticated to be useful.
Answer: the answer is B. The square root of 45.
Step-by-step explanation:
use the pythagorean theorem.
1. Find the side lengths of A and B, since you're trying to find the hypotenuse.
2.
Answer:
what's the question lol
Step-by-step explanation: