Answer:
The measure of one of the acute angles is 22 degrees, and the measure of the other acute angle is 68 degrees.
Step-by-step explanation:
The angles of a triangle add up to 180 degrees; we know this by the Sum of Angles of a Triangle Theorem.
Then one angle is marked as a right angle meaning it has a measure of 90 degrees.
Using this information and the labels on the diagram we can set up an equation:
x+3x+2+90=180
Now we can solve for x.
4x+92=180
4x=88
x=22 degrees
The measure of one of the acute angles is 22 degrees.
Now to solve for the measure of the other acute angle.
Subsitute the value of x first.
x=22
(3x+2)=?
3*22+2=68 degrees
The measure of the other acute angle is 68 degrees.
Answer:
2.5
Step-by-step explanation:
Add up the 5s of the left side first and you will get 25. Then you add up the 5s on the otherside and you will get 10. Subtract the 10 from the 25 to get 15. Finally, divide 15 by 6 to get the weight of each triangle, 2.5
1: 5 x 5 = 25
2: 5 x 2 = 10
3: 25 - 10 = 15
4: 15/6 = 2.5
The weight of each triangle is 2.5
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Answer:
Step-by-step explanation:
