Answer:
24 ?
Step-by-step explanation:
50% or .5%?
12*2 = 24
Answer:
As the largest side is
15
yards and smaller sides are
9
yards and
12
yards
from Pythagoras theorem, if the triangle is right angled square of largest side should be equal to sum of the squares of smaller two sides.
Square of largest side is
15
2
=
225
and squares of smaller two sides are
9
2
=
81
and
12
2
=
144
.
As
225
=
81
+
144
, the triangle is right angled.
Step-by-step explanation:
4(17-n)=84, 17-n means the difference between 17 and a number multi that by 4 so the answer is 4(17-n)=84
Answer: The answers are in the steps please look carefully.
Step-by-step explanation:
To solve for each value input the value into the function and solve to find f(x)
A. f(-3) = 2(-3)^2 + 2
f(-3) = 2(9) + 2
f(-3) = 18 + 2
f(-3) = 20
B. f(6) = 2(6)^2 + 2
f(6) = 2(36) + 2
f(6) = 72+ 2
f(6) = 74
C. f(-1) = 2(-1)^2 + 2
f(-1) = 2(1) + 2
f(-1)= 2 + 2
f(-1) = 4
D. f(4) = 2(4)^2 + 2
f(4) = 2(16) + 2
f(4) = 32 + 2
f(4) = 34
<h3>Answers:</h3>
- Congruent by SSS
- Congruent by SAS
- Not congruent (or not enough info to know either way)
- Congruent by SAS
- Congruent by SSS
- Not congruent (or not enough info to know either way)
- Congruent by SAS
- Congruent by SAS
==================================
Explanations:
- We have 3 pairs of congruent sides. The tickmarks tell us how the congruent sides pair up (eg: the double tickmarked sides are the same length). So that lets us use SSS. The shared overlapping side forms the third pair of congruent sides.
- We have two pairs of congruent sides (the tickmarked sides and the overlapping sides), and an angle between the sides mentioned. Therefore, we can use SAS to prove the triangles congruent.
- We don't have enough info here. So the triangles might be congruent, or they might not be. The convention is to go with "not congruent" until we have enough evidence to prove otherwise.
- We can use SAS like with problem 2. Vertical angles are always congruent.
- This is similar to problem 1, so we can use SSS here.
- There isn't enough info, so it's pretty much a repeat of problem 3
- Same idea as problem 4.
- Similar to problem 2. We have two pairs of congruent sides and an included angle between them allowing us to use SAS
The abbreviations used were:
- SSS = side side side
- SAS = side angle side
The order is important with SAS because the angle needs to be between the sides mentioned.
