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:
p=−8
Step-by-step explanation:
Regroup terms.
p
/2 −9=−13
Add 9 to both sides.
p/2 =−13+9
Simplify -13+9 to −4.
p/2=−4
Multiply both sides by 2.
p=−4×2
Simplify 4×2 to 8
<h2>
p=−8
</h2>
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Answer:
5/6
Step-by-step explanation:
9/18 + 1/3 <Need the same denominator so find the lowest common multiple.
3 6 9 12 15 18 < multiples of 3
if 3 goes into 18 than it will be our LCM
3 goes into 18 6 times so multiply 1 and 3 by 6 and rewrite the equation
9/18 + 6/18 < just add 9 + 6 and place it over 18
15/18 <this number can be simplified so write out their factors and pick the highest one to divide by one they have in common.
1 3 5 15 <Factors of 15
1 2 3 6 9 18 <Factors of 18
3 is the highest one they both have so divide both 15 and 18 by 3
15/3 is 5 and 18/3 is 6
put the 5 and 6 in their proper places and you have 5/6 or .83333333333...
If she spent 45 dollars on supplies, we need to add that to the total:
117 + 45
162
Now, lets divide by 12 to get the number of hours:
162/12
13.5 hours
If your question asks for a whole number, we have to say 13, because she didn't complete 14.
Hope this helps!
