Answer:
x = 16
Step-by-step explanation:
We know that the 2 given angles are same side interior angles, and therefore are supplementary (add up to 180°). The equation to solve for "x" would be written as:
(Angle 1) + (Angle 2) = 180°
(8x - 10) + (62) = 180°
8x + 52 = 180
8x = 180 - 52
8x = 128
x = 16
Therefore, <u>x = 16</u>
Hope this helps!
Twenty eight is composite
28 can be divided by one, by itself and at least by 2 and 7
Answer: the approximate value of e is 8.9 cm
Step-by-step explanation:
The given triangle BET is an obtuse triangle. To determine the value of e, we would apply the Cosine rule which is expressed as
a² = b² + c² - 2ab
Applying it to the given triangle, it becomes
e² = Be² + Te² - 2TE × BE Cos 108
e² = 6² + 5² - 2 × 5 × 6 Cos 108
e² = 36 + 25 - 60 × - 0.3090
e² = 61 + 18.54 = 79.54
Taking square root of the Left hand side and the right hand side of the equation, it becomes
e = √79.54
e = 8.9 approximated to the nearest tenth.
<u>Step 1:</u> We have the next system of equations -
<u>Step 2:</u> Now, we will multiply by -2 the second equation:-
<u>Step 3:</u> Then we add it :-
<u>Step 4:</u> After finding the sum, we simplify:-
Then, substitute the above <em>y </em>value to find x's value in any equation of Step 1. Now, I used to second equation in Step 1:-
<u>Step 5:</u> Then simplify :-
Therefore, the final answer is :-
and
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Answered by Benjemin360 ☺️
Answer: a) see image (below)
b) S ∩ M = 237
c) S U M = 598
<u>Step-by-step explanation:</u>
b) Total students = 685
Not sports or music = 87
Sports Total = 385
Music Total = 450
Both Sports and Music is their intersection:
S ∩ M = S + M + N - T
= 385 + 450 + 87 - 685
= 237
c) Sports only = S - (S ∩ M)
= 385 - 237
= 148
Music only = M - (S ∩ M)
= 450 - 237
= 213
Sports OR Music is their union:
S U M = S + M - (S ∩ M)
= 385 + 450 - 237
= 598