Answer:
Step-by-step explanation:
December 15, 1791
Answer:
63
Step-by-step explanation:
In these 9 bags, each must have 7 gumdrops. So, we can add 7 nine times to itself. 7 + 7 + 7 + 7 + ... = 63
OR HERE'S A FASTER WAY *WINK WINK*
Instead of doing repeated addition, we can <u>multiply</u> 7 and 9 together.
<u>Why multiply?</u>
We're going to multiply 7 x 9 so that it means seven gumdrops for <em>each</em> of nine bags.
7 x 9 = 63.
Answer:
Step-by-step explanation:
A triangle whose sides are 5-12-13 is a right angle triangle because the sides form a Pythagoras triple. This means that
Hypotenuse² = opposite side² + adjacent side²
If hypotenuse = 13,
Opposite side = 12, then we can determine one acute angle by applying the sine trigonometric ratio
Sin θ = opposite side/adjacent side
Sin θ = 12/13 = 0.923
θ = Sin^-1(0.923) = 67.4°
The other acute angle is
90 - 67.4 = 22.6°
For 9-12-15 triangle
Sin θ = 12/15 = 0.8
θ = Sin^-1(0.8) = 53.1°
The other acute angle is
90 - 53.1 = 36.9°
For 13- 14-15 triangle,
Sin θ = 14/15 = 0.933
θ = Sin^-1(0.933) = 68.9°
The other acute angle is
90 - 68.9 = 21.1°
Another example would be 3-4-5
Sin θ = 4/5 = 0.933
θ = Sin^-1(0.8) = 53.1°
The other acute angle is
90 - 53.1 = 36.9°
<P = <S
<Q = <T
PQ = ST
both triangles are congruent by ASA
Answer
B. Congruent by ASA
