Answer:
Step-by-step explanation:
Begin at the end. By this I mean to start at the end of that expression and work your way backwards to the beginning. "The difference of t and 8" looks like this: t - 8. "2/3 of" means we are multiplying (the word "of" means to multiply): 2/3(t - 8) is your algebraic translation of that expression.
=18 sqrt2+15 sqrt2=33 sqrt 2
Answer:
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Answer:
12 inches
Step-by-step explanation:
What information is useful?
Each brick is: 1 1/2 inches long.
There are 8 bricks used.
Let's multiply 1 1/2 x 8 = 12 inches.
You can convert into other metrics but depending on your question it is in inches.
Answer:
180°
Step-by-step explanation:
The diagram for this question has been attached to this response.
From the diagram;
(i) ∠2 and ∠6 are equal since they are corresponding angles. This implies that the measure of angle 2 (m∠2) is equal to the measure of angle 6 (m∠6). i.e
m∠2 = m∠6 ---------(a)
But m∠2 = 40°
<em>Substitute this into equation (a) as follows;</em>
40° = m∠6
∴ m∠6 = 40°
(ii) ∠1 and ∠2 are supplementary. This implies that the sum of the measures of angle 1 (m∠1) and angle 2(m∠2) is equal to 180°. i.e
m∠1 + m∠2 = 180° ------------------(b)
But m∠2 = 40°
<em>Substitute this into equation (b) as follows;</em>
m∠1 + 40° = 180°
m∠1 = 180° - 40°
m∠1 = 140°
(iii) The measure of ∠1 + ∠6 is given by;
m∠1 + m∠6
<em>Substitute the values of m∠1 = 140° and m∠6 = 40° into the expression to get</em>
m∠1 + m∠6 = 140° + 40°
m∠1 + m∠6 = 180<em>°</em>
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Therefore the measure of ∠1 + ∠6 is 180°