Answer:
∠A = 48°, ∠B = 48°, and ∠C = 84°
Step-by-step explanation:
AB = CB Given
m ∠A = m ∠C If opposite sides are =, then those opposite angles are =
6(x - 3) = 4(x + 1)
6x - 18 = 4x + 4
2x - 18 = 4
2x = 22
x = 11
m ∠A = 6(11 - 3) = 6(8) = 48°
m ∠C = 4(11+ 1) = 4(12) = 48°
The sum of the angles in a triangle = 180°
48° + 48° m ∠B = 180°
96°+ m ∠B = 180°
84° = m ∠B
Answer: Option C)1 over 15 minus 1 over x equals 1 over 20
Explanation:
Since, Micah can fill a box with books in 15 minutes.
Therefore, the work done by Micah in one minute= 1/15
Also, Sydney takes the books out puts them on a shelf.
And the times taken by Micah when Sydney is also taking the books outside from the self= 20 minutes
Therefore, the work done by Micah in one minute when Sydney taking books out of the box= 1/20
Let Sydney alone takes x minutes to take books outsides the shelf.
Then, work done by Sydney in one minute=1/x
Thus, the work done by Sydney( by taking books out of the box)= the work done by Micah - work done by Micah and Sydney simultaneously= 1/15-1/20
⇒1/x=1/15-1/20
⇒1/15-1/20=1/x
⇒1/15-1/x=1/20 is the required expression.
Therefore, Option C is correct.
The correct answer is <span>A. Triangle TUV is dilated by a scale factor of 9 and then translated 2 units right and 1 unit down to form triangle TꞌꞌUꞌꞌVꞌꞌ.
</span>
Congruent figures are of the same shape and the same size. <span>Triangle TUV is dilated by a scale factor of 9 and then translated 2 units right and 1 unit down to form triangle TꞌꞌUꞌꞌVꞌꞌ will produce similar but not congruent figures because they have different sizes.</span>
To convert 1.544 to percent multiply by 100
1.544 × 100 = 154.4 %
Answer:
I think the answer for the first one is 3 I am not sure about the second one
