Answer:
EF = HG and EF || HG
Step-by-step explanation:
A quadrilateral is a polygon shape with four sides and four angles.
A parallelogram is a quadrilateral with two pairs of parallel sides. The following are properties of a parallelogram:
- Opposite sides are equal and parallel.
- Opposite angles are equal to each other.
- Consecutive angles are supplementary
- The diagonals of a parallelogram bisect each other.
If Quadrilateral EFGH with diagonals EG and HF is a parallelogram then EF = HG and EF || HG
A)
To be similar triangles have to have equal angles
triangle ZDB'
1)angle Z=90 degrees
triangle B'CQ
1) angle C 90 degrees
angle A'B'Q=90
DB'Z+A'B'Q+CB'Q=180, straight angle
DB'Z+90+CB'Q=180
DB'Z+CB'Q=90
triangle ZDB'
DZB'+DB'Z=180-90=90
DB'Z+CB'Q=90
DZB'+DB'Z=90
DB'Z+CB'Q=DZB'+DB'Z
2)CB'Q=DZB' (these angles from two triangles ZDB' and B'CQ )
3)so,angles DB'Z and B'QC are going to be equal because of sum of three angles in triangles =180 degrees and 2 angles already equal.
so this triangles are similar by tree angles
b)
B'C:B'D=3:4
B'D:DZ=3:2
CQ-?
DC=AB=21
DC=B'C+B'D (3+4= 7 parts)
21/7=3
B'C=3*3=9
B'D=3*4=12
B'D:DZ=3:2
12:DZ=3:2
DZ=12*2/3=8
B'D:DZ=CQ:B'C
3:2=CQ:9
CQ=3*9/2=27/2
c)
BC=BQ+QC=B'Q+QC
BQ' can be found by pythagorean theorem
Answer:
<em>SOLUTION: Over the last three evenings, Heather received a total of 109 phone calls at the call center. The third evening, she received 4 times as many calls as the second evening</em>
Answer:
- 4(14.75)
- 4(8) + 4(4.50) + 4(2.25)
Step-by-step explanation:
<em>Note: there is no table so the answer will be based on assumption</em>
<u>Analyzing the answer options:</u>
<u>4(14.75)
</u>
- This may be correct as contains 4 as multiplier
<u>48.00) + 4.50 +2.25
</u>
- Incorrect as no multiplier of 4
<u>4(8) + 4(4.50) + 4(2.25)
</u>
- This may be correct as contains 4 as multiplier and the sum is same as the first option
<u>48.00 +4.50 +2.25)</u>
- Incorrect as no multiplier of 4
There is 6.74 quarts left in the cooler.
Since 5 of the glasses have a capacity of 0.36 qt, this is a total of 5(0.36) = 1.8 qt. The 8 glasses that have a capacity of 0.52 qt have a total of 8(0.52) = 4.16 qt. This gives a total of 4.16+1.8 = 5.96 qt.
To find the remaining, subtract from 12.7:
12.7-5.96 = 6.74 qt.
