Answer:
m∠1 = 63°
m∠2 = 49°
m∠3 = 87°
m∠4 = 44°
Step-by-step explanation:
From the given figure
∵ ∠2 and 49° are vertically opposite angles
∵ The vertical opposite angles are equal in measures
∴ m∠2 = 49°
∵ The sum of the interior angles of a Δ is 180°
∵ m∠1, m∠2, and 68° are interior angles of a Δ
∴ m∠1 + m∠2 + 68° = 180°
∵ m∠2 = 49°
∴ m∠1 + 49° + 68° = 180°
→ Add the like terms in the left side
∴ m∠1 + 117 = 180
→ Subtract 180 from both sides
∴ m∠1 = 63°
∵ ∠3 and 93° formed a pair of linear angles
∵ The sum of the measures of the linear angles is 180°
∴ m∠3 + 93° = 180°
→ Subtract 93 from both sides
∴ m∠3 = 87°
∵ 93° is an exterior angle of the triangle
∵ The measure of the exterior angle of a Δ at one vertex equals the sum
of the measures of the opposite interior angles to this vertex
∵ ∠4 and 49° are the opposite interior angles to 93°
∴ 49° + m∠4 = 93°
→ Subtract 49 from both sides
∴ m∠4 = 44°
Answer:
See below.
Step-by-step explanation:
Helen made a mistake in the last step.
2^(4/3) / e = (∛(2^4) / e = ∛(16) / e .
It is the cube root of 2^4 not the 4th root of 2^3.
Stephen made a mistake in the first step.
He replaced ln2 by 2 which is evidently wrong (e^ln2 = 2 NOT ln 2).
(-72×-11) / (-7x-48) =
792 / 336 = 2.36
or the fraction in simplest terms is 33 / 14
Answer:
Step-by-step explanation:
25.
Combine like terms.
4t+7=-33
subtract 7 from both sides
4t=-40
divide both sides by 4
t=-10
26.
Subtract 2a from both sides
5=7a-16
add 16 to both sides
21=7a
divideby 7 on both sides
a = 3
I'd suggest getting the app photomath or using cymath to help you with these problems. they give you the answer and how to get it step by step
hello
Step-by-step explanation:
