Answer:
p = 5,624
Step-by-step explanation:
(32,476 + p) / 381 = 100
multiply both sides by 381
32,476 + p = 38,100
Subtract 32476 from both sides
p = 5,624
Answer:
B
C
F
D
H
A
G
E
Step-by-step explanation:
Ok. They are trying to reconstruct the smaller looking triangle in the bigger triangle using angle A as the common angle.
The first statement is always the given.
Second they constructed line segment XY into the bigger triangle so that XY is parallel to BC.
Third, from the construction of the parallel lines we can now find corresponding angles that are congruent. This would be the use of F.
Since we have all three angles in triangle AXY and triangle ABC, then the construction of the smaller triangle we made inside the bigger triangle is similar to the bigger triangle. So we have the triangles are similar. You could say E or D here in my opinion. This is choice D.
Fifth the creation of those fractions of sides being equal comes from us knowing the corresponding sides of similar triangles are proportional. This is choice H.
Things looked cut off for the sixth thing so I can't fully read it, but it is possible a substitution has occured.
The seventh thing is a congruence statement which can be proven by a congruence postulate. The only one listed is SAS. So that is G.
The last thing, since the triangle construction is congruent to the smaller triangle then we know the smaller triangle is also similar to the bigger triangle since the bigger one is also similar to the construction we made. I really think E and D is interchangeable. Choice E goes here.
1 yard = 3 feet
F ( y ) = 3 y
F ( 10.5 ) = 3 yard * 10.5 feet / yard = 31.5 feet
Answer:
The output will be 31.5
Answer:
4. -2s^9
7. 8b^10
Step-by-step explanation:
First, focus on the number part of the expression. For 4), multiply -2 x -1 x -1 = -2. Then, look at the exponents. When you're multiplying exponents with the same base (in number 4, the base is s), you can add the exponents.
2+3+4 = 9; which makes it s^9. Multiply -2 x s^9, which gives you -2s^9.
Same thing for 7). Multiply all the numbers first. this gives you 8. (Remember two negatives equals a positive). Add all of the exponents of b together, which gives you 10. (when a variable has no exponent, it means that the exponent is 1.) Multiplying 8 and b^10 should give you 8b^10.
It may help to brush up on exponent rules and sign rules.
34.95 x 18%= 6.29
34.95-6.29= 28.66
$28.66 is the sale price
