Answer:
Well rewriting literal equations can help you understand better and you'll have more room to write the answer and figure it out.
Step-by-step explanation:
Answer: 0
Step-by-step explanation: Anything times 0 is 0
XZ ≅ EG and YZ ≅ FG is enough to make triangles to be congruent by HL. Option b is correct.
Two triangles ΔXYZ and ΔEFG, are given with Y and F are right angles.
Condition to be determined that proves triangles to be congruent by HL.
<h3>What is HL of triangle?</h3>
HL implies the hypotenuse and leg pair of the right-angle triangle.
Here, two right-angle triangles ΔXYZ and ΔEFG are congruent by HL only if their hypotenuse and one leg are equal, i.e. XZ ≅ EG and YZ ≅ FG respectively.
Thus, XZ ≅ EG and YZ ≅ FG are enough to make triangles congruent by HL.
Learn more about HL here:
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In ΔXYZ and ΔEFG, angles Y and F are right angles. Which set of congruence criteria would be enough to establish that the two triangles are congruent by HL?
A.
XZ ≅ EG and ∠X ≅ ∠E
B.
XZ ≅ EG and YZ ≅ FG
C.
XZ ≅ FG and ∠X ≅ ∠E
D.
XY ≅ EF and YZ ≅ FG
x + 90 = 7x
90 = 7x - x
90 = 6x
x = 90/6
x = 15
Result x = 15
Measure of each angle = 15 + 90
= 105
a) x = 15
b) angle = 105°
Second problem
a= Complementary
b) 90°
c) x = 90 - 37
x = 53°
The number of number of house holds have pets will be 21450 when 20,735 households do not have pets.
What is proportion ?
A proportion is an equation based on the equality of two ratios.
It is given that the ratio of the households with pets to house holds without pets is 30 to 29 and if 20,735 households do not have pets then it is find the number of number of house holds have pets. It can be find out using the ratio correlation :
That is , 29 is the ratio of house holds without pets ⇒ 20735
1 unit of house holds without pet ⇒ 20735/29 = 715 house hold
Now, the ratio of households with pets ⇒ 30 x 715 = 21450 house hold
Therefore, the number of number of house holds have pets will be 21450 when 20,735 households do not have pets.
Read more about ratio at:
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