Answer:
Step-by-step explanation:
The parameters given are;
The amount Mary earns annually = $28,000
The amount Mary grossed during a week = $655.58
The amount Mary had sold during the week to make the amount grossed during the week = $1673.19
Given that Mary makes $28,000 per year
Therefore;
The amount Mary earns per week = Amount earned per year/52
The amount Mary earns per week = $28,000/52 = $538.46
The amount extra she made on commission = $655.58- $538.46= 1$117.12
The commission rate = Commission earned/(Amount of merchandise sold)×100
The commission rate = 117.12/1673.19 × 100 = 6.99%
Her commission rate = 6.99%
Answer: the right answer is
The first equation can be multiplied by –12 and the second equation by 5 to eliminate x.
The first equation can be multiplied by –7 and the second equation by 13 to eliminate y.
The first equation can be multiplied by 7 and the second equation by –13 to eliminate y.
The first equation can be multiplied by 12 and the second equation by –5 to eliminate x.
Step-by-step explanation:
e d g e n u i t y and it says check all that apply ,it was not (A).
Answer: The ΔVZX and ΔWXZ are not congruent by SAS.
Explanation:
It is given that the VX = WZ = 40 cm and ∠ZVX = ∠XWZ = 22°.
Draw a figure as shown below,
According to the SAS rule of congruence, two triangles are congruent if two sides and their inclined angle is equal.
From the given figure it is easily noticed that in ΔVZX and ΔWXZ,
(given)
(given)
(common side)
Since we have two sides and one angle is same. but we can not conclude that the ΔVZX and ΔWXZ are congruent by SAS, because the given angle is not the inclined angle of both equal sides.
Therefore, the ΔVZX and ΔWXZ are not congruent by SAS.
Two figures are similar if one is the scaled version of the other.
This is always the case for circles, because their geometry is fixed, and you can't modify it in anyway, otherwise it wouldn't be a circle anymore.
To be more precise, you only need two steps to prove that every two circles are similar:
- Translate one of the two circles so that they have the same center
- Scale the inner circle (for example) unit it has the same radius of the outer one. You can obviously shrink the outer one as well
Now the two circles have the same center and the same radius, and thus they are the same. We just proved that any two circles can be reduced to be the same circle using only translations and scaling, which generate similar shapes.
Recapping, we have:
- Start with circle X and radius r
- Translate it so that it has the same center as circle Y. This new circle, say X', is similar to the first one, because you only translated it.
- Scale the radius of circle X' until it becomes
. This new circle, say X'', is similar to X' because you only scaled it
So, we passed from X to X' to X'', and they are all similar to each other, and in the end we have X''=Y, which ends the proof.
Answer:
<u>Michelle has 17 pencils</u>
Step-by-step explanation:
Number of pencils Leslie has = 8 (She has 9 fewer pencils than Michelle)
Number of pencils Michelle has = 9 more than Leslie
How many pencils does Michelle have?
If Leslie has 8 and she has 9 fewer than Michelle, then:
Michelle has 9 more than Leslie
<u>Michelle has 9 + 8 = 17 pencils</u>