Answer:
choice 1) x = 4
Step-by-step explanation:
∠2 = ∠6
4x+44 = 6x+36
reduce:
2x = 8
x = 4
Step-by-step explanation:
step 1. This is a 30-60-90 triangle where the side opposite the 30° is the smallest and represented as x, the side opposite the 60 ° is the middle length at x(sqrt(3)) and the side opposite the 90° is the longest side at 2x. note: sqrt is the square root.
step 2. The ladder is 6m and is the 2x side.
step 3. The wall is across from the 60° side and is the x side.
step 4. if the 2x side is 6m then the x side is 3m.
step 5. The ladder is 3m up the side of the house.
Answer:
SAS
Step-by-step explanation:
SAS Postulate: "If two sets of corresponding sides on two triangles and there included angle are congruent, then the triangles are similar".
We see that line segments XY-ST and XZ-SR are congruent along with the included angles X and S. Therefore, we can justify that SAS fits the situation.
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Answer:
It'll take 25 hours to get to the auto shop
Step-by-step explanation:
Given
Distance = 5 miles
Speed =1056 feet per hour
Required
How long will it take to the auto shop
This can be solved using Speed's formula;
Substitute values for Speed and Distance
1 mile = 5280 feet;
So:
Cross Multiply
Divide both sides by 1056ft
<em>Hence, it'll take 25 hours to get to the auto shop</em>
