Answer:
2m + 10n - 2p
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
(4m + 7n - 6p) - (2m - 3n - 4p)
<u>Step 2: Simplify</u>
- Distribute negative: 4m + 7n - 6p - 2m + 3n + 4p
- Combine like terms (m): 2m + 7n - 6p + 3n + 4p
- Combine like terms (n): 2m + 10n - 6p + 4p
- Combine like terms (p): 2m + 10n - 2p
Answer:
1.) FI, AD, FA, DI. (Neither of them are parallel or right angles.)
2.) 95 (Same angle just upside down so it'd be the same size.)
You know from trigonometry that AB = 15 units, so the area of the larger triangle ACB is (1/2)*15*15 = 112.5 units^2.
Then the area of triangle ADE is
.. (112.5 -62.5) = 50 . . . . units^2
If two tangent segments to a circle share a
common endpoint outside a circle, then the two segments are congruent. This
is according to the intersection of two tangent theorem. The theorem states
that given a circle, if X is any point
within outside the circle and if Y and Z are points such that XY and XZ are
tangents to the circle, then XY is equal to XZ.
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Answer:
There are 171 members in the club
Number of boys = 38
Number of girls = 133
Step-by-step explanation:
Let
x = total members of the club
Boys = 2/9x
if there are 95 more girls than boys
Girls = 2/9x + 95
how many girls are there in club?
Total members in the club = boys + girls
x = 2/9x + 2/9x + 95
x = 2+2/9x + 95
x = 4/9x + 95
x - 4/9x = 95
9x-4x/9 = 95
5/9x = 95
Divide both sides by 5/9
x = 95 ÷ 5/9
= 95 × 9/5
= 855/5
= 171
boys = 2/9x
= 2/9 * 171
= 342 / 9
= 38
Girls = 2/9x + 95
= 38 + 95
= 133
Total = 38 + 133
= 171
There are 171 members in the club
Number of boys = 38
Number of girls = 133
