Answer:
Step-by-step explanation:
First use the fact that the sum of interior angles of a triangle is 180° to find the measure of the missing angle
in ΔDEF we have 180 -68 -81 = 31°
in ΔABC we have 180 -68 -33 = 79°
the measure of the angles in ΔABC and ΔDEF are different 33°, 68°, 79° ≠81°, 68°, 31°so the two triangles are not congruent.
Answer:
55
Step-by-step explanation:
If 1 gift takes 1/5 an hour, then 5 gifts would take one hour. So if she makes 5 gifts an hour for 11 hours she would make 55 gifts in 11 hours.
-8n+7=31
-8n+7-7=31-7
-8n=31-7
-8n=24
-8n÷(-8)=24÷(-8)
n=24÷(-8)
n=-24÷8
n=-3
Given:
A solution of 60% fertilizer is to be mixed with a solution of 21% fertilizer to form 234 liters of a 43% solution.
To find:
The quantity of the 60% solution in the mixture.
Solution:
Let x be the quantity of the 60% solution and y be the quantity of the 21% solution.
Quantity of mixture is 234. So,
...(i)
The mixture has 43% fertilizer. So,
Multiply both sides by 100.
...(ii)
Using (i) and (ii), we get
Divide both sides by -39.
Putting this value in (i), we get
Therefore, 132 liters of the 60% solution must be used.
Answer:
If triangle HIJ is dilated about the center of the triangle to create triangle H'I'J', dilated line A'B' will be parallel to AB.Option (D) is correct.
Given:
The options are as follows,
(A). be perpendicular to AB.
(B). lie on the same line as AB.
(C). shift four units to the left.
(D). be parallel to AB.
Step-by-step explanation:
If we dilate triangle HIJ then the dilated triangle is bigger than the triangle HIJ.
The triangle HIJ is similar to triangle to each other.
So the line is parallel to side AB.