Answer: C
<BFE is 148 degrees
Step-by-step explanation:
We have angles <BFC (57 degrees) and <CFD (34 degrees), but what is <DFE?
1. The angle symbol in the vertexes shows that <BFC is congruent to <DFE, meaning that they are the same
2. Knowing this, we can safely say that <DFE is equal to 57 degrees because <BFC is also 57 degrees.
3. Now, we have all the angles we need to find out <BFE.
4. <BFC+<CFD+<DFE=<BFE
5. Substitute to get
57+34+57=<BFE
91+57=<BFE
148=<BFE
6. Now we know that the answer is 148 degrees.
This is basically a simple problem to understand. The only thing that needs to be done is to divide the mass of the sun by the mass of mercury. It will give the required result.
Number of times the mass of sun is greater than
the mass of mercury = 21.3525×102921.3525×1029/<span>328.5×1021328.5×1021
= </span><span>7.1783629e+15
I hope that this is the answer that you were looking for and it has come to your great help.</span>
By helping you solve a system of equations
Answer:
Answer=50
Step-by-step explanation:
hope the picture is good enough for an explanation
Answer: 19
If the floor space of the garage is increased by 50%, that means its area is increased by that amount
So we have 228 + .50(228) = 228 + 114 = 342 ft²
Since the original garage is square-shaped with an area of 228 ft², then we can find the length of each side. If we let x = the side length, then we have:
x² = 228
x = 15.1 ft
Assuming that the garage will remain square-shaped with sides of uniform dimensions, then we can label each side of the expanded garage as 15 + y. We need to solve for y. Again, we use the area formula. Remember that the expanded garage will have an area of 342 ft², we now have:
(y + 15)² = 342
y² + 30y + 225 = 342
y² + 30y - 117 = 0
This can be solved using the Quadratic Formula. Remember that dimensions must always be positive. Once you determine y, then you will know what the length will be of the expanded garage