The corresponding parts that are congruent are (a) AB and DE
<h3>How to determine the congruent parts?</h3>
The statement ΔABC ≅ ΔDEF means that the triangles ABC and DEF are congruent.
This implies that the following points are corresponding points:
A and D; B and E; C and F
When two corresponding points are joined together, the congruent parts are:
AB and DE, AC and DF, BC and EF
Hence, the corresponding parts that are congruent are (a) AB and DE
Read more about congruent triangles at:
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Answer:
a8=10935
Step-by-step explanation:
A geometric sequece is a sequence of the form

in our case we know that
and
, hence

9514 1404 393
Answer:
- zeros: t = 1, t = -1/2
- no: the domain of the function is t ≥ 0
- 8 feet
Step-by-step explanation:
The zeros are the values of t that make the factors zero.
1 -t = 0 ⇒ t = 1
8 +16t = 0 ⇒ t = -8/16 = -1/2
The equation is used to model height after the ball is thrown. We don't expect it to be a good model before the ball is thrown (t < 0), so the zero in that region is extraneous.
Only the positive zero is in the function's domain, so that is the only one that is meaningful.
__
When t = 0 (at the time the ball is thrown), the function value is ...
h(0) = (1 -0)(8 +0) = 8
The ball is thrown from a height of 8 feet.
Answer:
$3.40
Step-by-step explanation:
Look at image above...
Answer:
x=60
Step-by-step explanation:
Simplifying
0.79x + 24 = 1.19x
Reorder the terms:
24 + 0.79x = 1.19x
Solving
24 + 0.79x = 1.19x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1.19x' to each side of the equation.
24 + 0.79x + -1.19x = 1.19x + -1.19x
Combine like terms: 0.79x + -1.19x = -0.4x
24 + -0.4x = 1.19x + -1.19x
Combine like terms: 1.19x + -1.19x = 0.00
24 + -0.4x = 0.00
Add '-24' to each side of the equation.
24 + -24 + -0.4x = 0.00 + -24
Combine like terms: 24 + -24 = 0
0 + -0.4x = 0.00 + -24
-0.4x = 0.00 + -24
Combine like terms: 0.00 + -24 = -24
-0.4x = -24
Divide each side by '-0.4'.
x = 60
Simplifying
x = 60