The value of angle a will be 33°.
It should be noted that when we've parallel lines, then the angles will be equal. In this case, the value of angle a will be equal to that of angle b and this will be:
5x + 8 = 8x - 7.
Collect like terms .
8x - 5x = 8 + 7
3x = 15
Divide both side by 3
3x/3 = 15/3
x = 5
Therefore, the value of angle a will be:
= 5x + 8
= 5(5) + 8
= 25° + 8°
= 33°
The measure of angle a is 33°.
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brainly.com/question/24576134
For the first one it’s 9490 & for the second it’s 860
Answer:
255,024
Step-by-step explanation:
24 x 23 x 22 x 21
24 options for the first member
23 options for the second member
22 options for the third member
21 options for the last member
Based on the mass of the circle and the triangle, we can find the mass of the square to be<u> 3.33 grams</u>
<h3>Mass of each side of hanger </h3>
Assuming the mass of the square is x, the equation for the first side is:
= (3 x mass of circle) + (2 x mass of triangle) + (6 x mass of square)
= ( 3 x 2) + ( 2 x 4) + ( 6 × x)
= 6 + 8 + 6x
Mass of other side:
= (2 x mass of circle) + (5 x mass of triangle) + (3 x mass of square)
= ( 2 x 2) + ( 5 x 4) + ( 3 × x)
= 4 + 20 + 3x
<h3>Mass of square </h3>
As both sides are equal, equate both formulas to find x:
6 + 8 + 6x = 4 + 20 + 3x
6x - 3x = 24 - 14
3x = 10
x = 10/3
x = 3.33 grams
In conclusion, each square is 3.33 grams.
Find out more on problems requiring equating at brainly.com/question/20213883.