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Karolina [17]
4 years ago
11

Mrs. CADY CONSTRUCTS A CUBE WITH 512 MAGNETIC BLOCKS. STUDENTS IN HER TWO CLASSES WILL EACH MAKE AN IDENTICAL CUBE. THERE ARE 28

STUDENTS IN ONE CLASS AND 25 STUDENTS IN THE OTHER CLASS. HOW MANY BLOCKS DOES SHE NEED FOR ALL HER STUDENTS?
Mathematics
1 answer:
Lilit [14]4 years ago
8 0
YOU DON"T HAVE TO YELL

512 PER STUDENT

BASICALLY,
CUBES NEEDED=CUBES PER STUDENT TIMES NUMBER OF STUDENTS

NUMBER OF STUDENTS=28+25=53

CUBES PER STUDENT=512

CUBES NEEDED=512 TIMES 53 EQUALS 27136 CUBES


SHE NEEDS 27136 CUBES FOR ALL HER STUDENTS
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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

m\ angle FED=(1/2)m\angle BED=(1/2)51^o=25.5^o --- > given problem

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

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