Solve 4x=3x+10
And then that what your answer should be
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)
Answer:
x=12
Step-by-step explanation:
ab=dc so 15=x+3 you subtract 3 from both sides... x=12
There are 8 tens in the number 1,384.
Each digit in the number has an equivalent value based on its placement in the number.
1,384 where:
1 is in the thousands value
3 is in the hundreds value
8 is in the tens value
4 is in the ones value
The extended form of 1,384 is:
1 x 1000 + 3 x 100 + 8 x 10 + 4 x 1 = 1,384
1,000 + 300 + 80 + 4 = 1,384
8 x 10 = 80 ; shows that there are 8 10s in the number with a product of 80.
X = 38
2x is equal to the angle next to the x + 66 angle because ℓ1 ∥ ℓ2 is parallel so:
2x + x + 66 = 180 -- combine like terms
3x + 66 = 180 -- subtract 66 from both sides
3x = 114 -- divide by 3 on both side
x = 38
