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jonny [76]
3 years ago
14

The condition proves that triangle ABC and triangle EFG are congruent by the SAS criterion. If AB does not equal EF the criterio

n for congruency is violated. In this situation angle C angle G
Mathematics
1 answer:
andrezito [222]3 years ago
5 0
If AB ≠ EF, the criterion for congruency is violated. In this situation, angle C angle G are not equal :
angle C ≠ angle G
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vredina [299]

To find the unit rate, all we need to do is divide $22.68 by 12

22.68 ÷ 12 = 1.89

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7 0
3 years ago
A Bank offers an annual simple interest rate of 8% on home improvement loans. Tobias borrowed $17,000 over a period of 2 years.
Alex17521 [72]

We first find out the amount in dollars of interest accrued after 2 years  time.

Interest = Prt

where P is the principal, r is the rate and t is  time

8% written in decimal fraction → 8/100 → 0.08

Interest = 17000 × 8% × 2

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6 0
3 years ago
In the figure below, points M, P, H, J, and K lie in plane Z.
marishachu [46]

Answers:

  • (a) LN
  • (b) PHJ
  • (c) K
  • (d) HK

===================================================

Explanation:

Part (a)

Lines LN and PN have the point N in common. This is the intersection point.

-----------------

Part (b)

To name a plane, pick any three non-collinear points that are inside it. We cannot pick points H, J, K together because infinitely many planes pass through it. Imagine the piece of flat paper able to rotate around this axis (like a propeller). Having the points not all on the same line guarantees we form exactly one unique plane.

I'll pick the non-collinear points P, H and J to get the name Plane PHJ. Other answers are possible.

------------------

Part (c)

Points H, J and K are collinear as they are on the same line. Pick either H or K to fill out the answer box. I'll go with point K

------------------

Part (d)

Point P and line HK are coplanar. They exist in the same flat plane, or on the same sheet of flat paper together.

We can think of that flat plane as the ground level while something like point N is underground somewhere. So point N and anything on that ground plane wouldn't be coplanar.

Note: there are other possible names for line HK such as line JH or line JK. The order doesn't matter when it comes to naming lines.

4 0
3 years ago
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BartSMP [9]

Answer:

one, (1.5, 0)

Step-by-step explanation:

4 0
3 years ago
The winning baseball team scores 4 times as many runs as its opponent. The winning team scores 8 runs. Write an equation with an
Veronika [31]

Answer:

4x+8=x

Step-by-step explanation:

8 0
3 years ago
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