When given a value of the variable, we replace each instance of the variable in the problem with that number. In this case, the expression becomes:
After this, we merely need to simplify the answer.
Simplifying 12/2 gives us the answer 6.
In the picture above, parallel lines p and q are cut by transversal line t. If the measure of angle 4 is 43 degrees, then the me
asure of angle 6 is 43 degrees and the measure of angle 5 is ______ degrees. The measure of angle 8 is 43 degrees and the measure of angle 1 is _____ degrees.
1 answer:
Answer:
angle 5 is <u>137</u> degrees
angle 1 is <u>137</u> degrees
Step-by-step explanation:
angle 5 and 6 are supplementary angles meaning together they add up to 180 degrees. to find angle 5 you must find the difference:
so angle 5 is 137 degrees.
likewise, angle 1 and angle 4 are supplementary angles. find the difference:
so angle 1 is also 137 degrees.
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Answer:
(i) the other two sides are 6 and 6
(ii) the other two sides are
Step-by-step explanation:
(i) Sine: sin(θ) = Opposite ÷ Hypotenuse
Cosine: cos(θ) = Adjacent ÷ Hypotenuse
Tangent: tan(θ) = Opposite ÷ Adjacent
Here adjacent side = 6
opposite side = d
angle = 45°
other angles are 90° and 45°
tan (45) = Opposite ÷ Adjacent
1 = d ÷ 6
∴ d = 6 × 1 = 6
so opposite side = 6
Hypotenuse ² = opposite side ² + adjacent side²
= 6² + 6²
= 36 + 36
= 72
hypotenuse =
= 6
the other two sides are 6 and 6
(ii) here adjacent side = 4√3
angle = 30°
other angles are 90° and 60°
opposite side = d
tan ( 30) = opposite ÷ adjacent
= d ÷ 4√3
= d × (
)
3 d = 4
therefore d =
therefore opposite side =
Hypotenuse ² = opposite side ² + adjacent side²
=( )² +(
)²
=
therefore hypotenuse =
=
the other two sides are
Answer:
5 years
Step-by-step explanation:
Step one:
Given Information
Principal= $34,000
rate = 4.8%
SImple interest = $8,160
Required
The time T of the investment
Step two:
the expression for simple interest is
substitute
cross multiply we have
divide both sides by 163200