Answer:
m∠H = 10°
Step-by-step explanation:
ΔFGH is an isosceles triangle. I made a diagram, so m∠F ≅ m∠H by B.A.T(base angle theorem). This is because an isosceles triangle have to congruent sides and angles.
Diagram is attached:
-Chetan K
The absolute value inequality can be decomposed into two simpler ones.
x < 0
x > -8
<h3>
</h3><h3>
Which two inequalities can be used?</h3>
Here we start with the inequality:
3|x + 4| - 5 < 7
First we need to isolate the absolute value part:
3|x + 4| < 7 + 5
|x + 4| < (7 + 5)/3
|x + 4| < 12/3
|x + 4| < 4
The absolute value inequality can now be decomposed into two simpler ones:
x + 4 < 4
x + 4 > - 4
Solving both of these we get:
x < 4 - 4
x > -4 - 4
x < 0
x > -8
These are the two inequalities.
Learn more about inequalities:
brainly.com/question/24372553
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1/3 is the correct answer simplified
Answer: 5503680
Step-by-step explanation:
The coach wants 2 senior out of 36 so he have
C₃₆,₂ = 36!/( 36 - 2 )! = 36*35*34!/34! = 36 * 35 = 1260
possibilities
Now he also wants 3 juniors out of 14
C₁₄,₃ = 14!/ (14- 3)! = 14*13*12*11!/11! = 14*13*12 = 2184
Now for each pair of senior (from 1260 outcomes) coach has 2184 possiblities therefore
Coach has
2184 * 1260 = 2751840 possibilities to choose from
Again as there are 2 senior to choose for captain we have to multiply by 2 to get the total ways the team could be
2751840*2 = 5503680
Answer:
Step-by-step explanation:
V = length × width × height
SO...
V = 1ft × 1ft × 2ft
V =
