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lyudmila [28]
2 years ago
9

Ruben swims several times per week in a lake near his home. Last summer, the average water temperature was 20 °C. This summer, t

he average water temperature was 16 °C. What was the percent of decrease in the temperature?
Mathematics
1 answer:
docker41 [41]2 years ago
3 0
16/20 = 0.8
0.8*100= 80
100-80= 20%
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3 years ago
If the measure of angle BCD=51 degrees, solve for x.
BabaBlast [244]

Answer:

x=5

Step-by-step explanation:

step 1

Find the measure of angle EFD

In this problem I will assume that ABCD is a parallelogram

In a parallelogram opposite angles are congruent and consecutive angles are supplementary

so

m\ angle BCD=m\angle BED=51^o

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Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

so

In the triangle EFD

m\ angle FED+m\ angle FDE+m\ angle EFD=180^o

substitute the given values

25.5^o+55^o+m\ angle EFD=180^o

80.5^o+m\ angle EFD=180^o

m\ angle EFD=180^o-80.5^o

m\ angle EFD=99.5^o

step 2

Find the measure of angle EFB

we know that

m\angle EFB+m\angle EFD=180^o ---> by supplementary angles

we have

m\ angle EFD=99.5^o

substitute

m\angle EFB+99.5^o=180^o

m\angle EFB=180^o-99.5^o

m\angle EFB=80.5^o

step 3

Find the value of x

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

so

In the triangle EBF

m\ angle BEF+m\ angle EFB+m\ angle EBF=180^o

we have

m\angle BEF=m\ angle FED=25.5^o

m\angle EFB=80.5^o

m\angle EBF=(14x+4)^o

substitute

25.5^o+80.5^o+(14x+4)^o=180^o

solve for x

Combine like terms

(14x+110)^o=180^o

14x=180-110

14x=70

x=5

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Andreyy89

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Step-by-step explanation:

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