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VashaNatasha [74]
3 years ago
5

The sale price of every item in a store is 85% of its usual price.

Mathematics
1 answer:
Vladimir [108]3 years ago
5 0

Answer

a. The backpack is $4.50

b. The sweatshirt is $2.70

Step-by-step explanation:

a. 30 x 0.15 = 4.50 (The 0.15 is from the price you are actually paying for the item. Because the item is 85% off, you are paying for 15% of the usual price. 15% as a decimal is 0.15 so you multiply that to the original price to find the amount u will pay.)

b. 18 x 0.15 = 2.70  

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A student writes an incorrect step while checking if the sum of the measures of the two remote interior angles of triangle ABC b
andrew-mc [135]

Answer:

Step-by-step explanation:

First, alternate interior and alternate exterior angles and  corresponding require a transversal through two parallel lines.  or in other words two parallel lines with a non parallel line going through the both of them.  We don't have that here so none of those count here.  

Step 2 is the only one that mentions them so that's wrong.  The two options regarding step 2, one mentions alternate exterior angles, so that's incorrect, which means the last option is the right answer.

To logic it out let's go choice by choice.

Measure of three angles of a triangle is 180, so that's correct

Alternate interior angles are the same, so saying the difference of two angles equals 90 degrees doesn't make sense with alternate interior angles.  Also, the relationship is untrue.  So doubly wrong.

the sum of the three angles of a triangle equals 180 and the sum of two angles that when put together make a straight lineis also 180, so this is right, just with the wrong step beforehand.

Fourth step is just right.

So definitely see step 2 is the problem.  So let's look at the two replacement options.

First choice for step two says angle o + angle p does equal 180 degrees, which is true, but they are not alternate exterior angles.  So only half as wrong.  If you don't understand how they look you should do a quick search for alternate angles and see what alternate exterior and interior angles look like.  And corresponding angles.

Second choice for step 2 gets the 180 degrees right AND givs the reason that they are supplementary angles.  The definition of supplementary angles is that they add up to 180, or make a straight line, so also true.

Also we should check and make sure step 3 follows and makes sense.  Basically it says these three angles equal 180 and these two angles equal 180 so these two angles must equal these three angles, which makes sense since they equal the same number.  So check.

Let me know if Something I said didn't make sense.  Also here is a small guide of angles for the picture I uploaded with this.

Angles A and G are Alternate Exterior

D and F are Alternate Exterior

B and H are Alternate INTERIOR

E and C are Alternate Interior

A and E are Corresponding

B and F are corresponding

C and G are corresponding

D and H are corresponding

In all of these relationships it means the two angles are equal, and they require a transversal.  Let me know if you need further explanation let me know.

6 0
3 years ago
Find the product and fill in the blanks to write in standard complex number form
Ulleksa [173]
<span>(5 + 3i)(8 - 2i) =
40 - 10i + 24i - 6i</span>² = 
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40 + 14i + 6 = 
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3 0
3 years ago
Read 2 more answers
URGENT 23-28 with work
dybincka [34]
-5                  This is the answer with the work
 23
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7 0
3 years ago
Are triangles PRU and STQ congruent? Question 2 options:
denis23 [38]

PRU and STQ are not congruent because they aren’t the same size.

No, because they aren’t the same size.

<u>Step-by-step explanation:</u>

Both PRU and STQ triangles aren't in the same size, So it is not congruent. Triangles are congruent if two pairs of corresponding angles and a couple of inverse sides are equivalent in the two triangles.

If there are two sets of corresponding angles and a couple of comparing inverse sides that are not equal in measure, at that point the triangles are not congruent.

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Which best describes the association between variables x and y?
dybincka [34]
The answer is Strong Positive
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2 years ago
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