Answer:
Step-by-step explanation:
It is useful to label the diagram so we can talk about the parts. (See the attachment.)
AB and CD are parallel lines, crossed by transversal AE. So, angles FAE and CDE are congruent. These are acute angles in a right triangle, so the triangles AFD and DEC are similar by the AA postulate.
This similarity means that corresponding sides are proportional:
CE/CD = DF/DA
CE = CD(DF/DA) = 16(6/10) = h
h = 9.6
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The second problem is identical to the first, but with different numbers.
CE = CD(DF/DA) = 14(8/10) = h
h = 11.2
Hi DerpyIntelligence!
The product is addition so we do -3 1/4+-1 1/2. We solve it like this. We separate each part like this (-3)+(-1/4)+(-1)+(-1/2) then we solve the whole parts (-3)+(-1)=(-4). Next we find out the LCD of (-1/4) and (-1/2) which is 4 so we change (-1/2) to (-2/4) than we add (-1/4) which is (-3/4). Finally we add the wholes to the fractions (-4)+(-3/4)=(-4 3/4)
Hope this helps!
Answer:
126 cm^3
Step-by-step explanation:
Use volume formula (Bh=V): 21×6=126
Answer:
8 meters
Step-by-step explanation:
Use absolute value to figure this out.
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Answer:
y=x+w/5
Step-by-step explanation:
x=5y-w
step 1: bring the additional letters/numbers next to the "5y" over to the left
x+w= 5y
step 2: divide the numbers and letters on both sides of the "=" by 5 to only get the letter y
x+w/5= y
step 3: swap them over
y= x+w/5
(we can't get an answer from x+w/5 because the terms are unlike, therefore we keep it as a fraction
