Answer:
1F
2C
3A
4E
5D
6B
Step-by-step explanation:
Good luck!
Formulas:
A= (b1+b2) /2 X h
A= (22.2+8.52) x 9.86
A=30.72x9.86
A= 302.90
Answer:
- sin C=h/a
- substitution property of equality
- commutative property of multiplication
Step-by-step explanation:
Because two points determine a line, you can draw altitude BD perpendicular to AC with height h. By the definition of a sine ratio, <u>sin(C) = h/a</u>, which can be rearranged into a·sin(C) = h. The area of △ABC is A=1/2bh. The <u>substitution property of equality</u> can be used to write A=1/2b(a sinC), which becomes A=1/2ab(sinC) by the <u>commutative property of multiplication</u>.
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The mnemonic SOH CAH TOA reminds you that the sine ratio is ...
Sin = Opposite/Hypotenuse
Here, the side of the right triangle opposite angle C is designated "h", the height of ∆ABC. The hypotenuse of that right triangle is side "a". So ...
sin(C) = h/a
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The substitution property of equality lets you replace any expression with its equal. Here, we have h=a·sin(C), so we can use a·sin(C) in place of h in the formula for triangle area:
1/2bh = 1/2ba·sin(C)
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The commutative property of multiplication lets you rearrange the order of the factors in a product, so ...
ba = ab
and
A = 1/2ba·sin(C) = 1/2ab·sin(C)
I started this one then got busy with other things.
z and 71 deg form a same side interior pattern
they're supplementary angles
sum to 180 degrees
z + 71 = 180
z = 180 - 71
z = 109 degrees
z and x are alternate angles
their measures are the same
z = 109 deg so x = 109 deg
y and 71 deg form adjacent angles which are supplementary
sum to 180 degrees
y = 180 - 71 = 109 deg
x = 109 deg, y = 109 deg, z = 109 deg
Part b
w and 88 form a supplementary pair
they add to 180 deg
w = 180 - 88 = 92 deg
v and 101 deg are vertical or opposite angles
They are congruent
So v = 101 deg
Answer:
-5x^2 +14x +24
Step-by-step explanation:
(x-4)(-5x - 6)
FOIL
first : x*-5x = -5x^2
outer : -6x
inner: -4*-5x = 20x
last: -4*-6 = 24
Add them together
-5x^2 -6x+20x +24
-5x^2 +14x +24
