Answer:
The answer is below
Step-by-step explanation:
Two polygons are said to be congruent if they have the same size and shape that is their corresponding angles and sides are equal.
Hence since Quadrilaterals ABCD is congruent to EFGH, then their corresponding angles and sides are equal.
In quadrilateral ABCD:
∠A + ∠B + ∠C + ∠D = 360° (sum of angles in a quadrilateral)
Substituting:
47 + 39 + 112 + ∠D = 360
∠D + 198 = 360
∠D = 360 - 198
∠D = 162°
The image of Quadrilaterals ABCD and EFGH is not given but let us assume that they have the same orientation, hence:
∠A = ∠E = 47°
∠B = ∠F = 39°
∠C = ∠G = 112°
∠D = ∠H = 162°
Answer:
$95 per hour
Step-by-step explanation:
The total of charges is the sum of the cost of labor and the cost of parts. The cost of labor is the product of hours (5) and the cost per hour (x). Then the equation for total cost is ...
total cost = parts cost + hours cost
651 = 176 + 5x
475 = 5x . . . . . . . subtract 176
95 = x . . . . . . . . . divide by 5
The cost of labor per hour is $95.
Answer:
<em><u>1</u></em><em><u>)</u></em><em><u>8</u></em><em><u>&</u></em><em><u>3</u></em><em><u>/</u></em><em><u>4</u></em><em><u> </u></em><em><u>CUP</u></em><em><u> </u></em><em><u>FLOUR</u></em>
<em><u>2</u></em><em><u>)</u></em><em><u>26</u></em><em><u> </u></em><em><u>KIDS</u></em><em><u> </u></em><em><u>CAN</u></em><em><u> </u></em><em><u>GO</u></em><em><u> </u></em><em><u>.</u></em><em><u>.</u></em>
Step-by-step explanation:
1) one batch=2 1/2 cup flour
therefore batch required in 3 1/2 batch= 5/2×7/2=35/4
=8&3/4cup flour
2)No. of kids can go for $60=8
therefore,no. of kids can go in $1=8/60
Therefore,no. of kids can go in $195=8/60×195=26 kids.
First you need to make both bases the same:
Lets remove the ^p and ^4
To make the base of 42 equal to 41, you would have 41^x = 41
X - ln(42) / ln(41) = 1.00648904
Now you have 41^1.00648904(p) = 41^4
Now the bases are equal so we need to set the exponents to equal:
1.00648904(p) = 4
Divide both sides by 1.00648904 to solve for P
P = 4 / 1.00648904
P = 3.97421114