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Lapatulllka [165]
3 years ago
13

PLEASE HELP! I WILL MARK YOU AS BRAINLIEST!

Mathematics
2 answers:
Vikki [24]3 years ago
8 0

Answer:

a = 7, b = 3

Step-by-step explanation:

The area of a rectangle is base * height. Here, the area of PQRS can be written as: <em>A = a * (9 + b)</em>, where <em>a</em> is the unknown base and <em>9 + b</em> is the unknown height. We set this equal to 84 because that's what's given:

a(9 + b) = 84 = 9a + ab (I just distributed)

Now, we can write the area of PXYS as: <em>a * b</em>, where <em>a</em> is the unknown base and <em>b </em>is the unknown height. (Note that we know <em>a</em> is also the base of PXYS because PQRS is a rectangle and XY is parallel to QR; thus XY = QR = <em>a</em>). We set this equal to 21 because that's the area given:

ab = 21

Now, we can just plug in this value to our first equation:

9a + ab = 9a + 21 = 84

Solving for a, we get a = 7. We plug this back into ab = 21 and find that b = 3.

Thus, our answer is: a = 7, b = 3

lawyer [7]3 years ago
8 0

Answer:

a = 7 cm , b = 3 cm

Step-by-step explanation:

PXYS: a × b = 21

ab = 21

PQRS: a × (b + 9) = 84

ab + 9a = 84

21 + 9a = 84

9a = 63

a = 7

7b = 21

b = 3

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shusha [124]

Multiply the first equation by -1

-3x-y=-4

2x+y=5

Add them up

-x=1

So x=-1

And y=7

So the first option is correct

8 0
3 years ago
What is the measure of this angle?<br> A) 44° <br> B) 56° <br> C) 136° <br> D) 144°
allsm [11]
A) 44 degrees just look at the degree the line segment lands on in the protractor
4 0
3 years ago
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Yin wants to create figure Y′ that is similar to figure Y. Yin begins by reflecting figure Y across the y-axis.
Sholpan [36]

Answer: B) Dilate by scale factor of 2

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

Explanation:

Your teacher isn't saying this directly, but I'm assuming s/he wants you to find a similar figure that isn't congruent to the original. Informally, your teacher seems to want you to find a figure that is the same shape but not the same size as the original.

If so, then any dilation will shrink or enlarge the image depending on the scale factor. So the new image will not be the same as the old one. In this case, a dilation with scale factor 2 means the new figure is twice as large (each side is twice as long). But the old image is similar to the new image. The angles keep their values and therefore we get the same shape. This is why choice B is the answer. Again this is assuming what I mentioned in the first paragraph.

Choices A, C, and D are all known as rigid transformations and they preserve the same size of the figure. Applying any of those operations will lead to the same figure (just rotated, reflected or shifted somehow). In other words, applying operations A,C, or D will have us get two congruent triangles. If two triangles are congruent, then they are automatically similar, but not vice versa. This is why we can rule out A,C, and D.

3 0
3 years ago
Read 2 more answers
Samantha wants to use her savings of 1150 to buy shirts and watches for her family. The total price of the shirt she bought was
ioda

<u>Answer-</u>

<em>The maximum number of watches that Samantha come by with her savings is </em><em>10</em><em>.</em>

<u>Solution-</u>

The amount of money Samantha has in her savings account = $1150

She wants to buy shirts and watches.

Cost of one shirt = $84

Cost of each watch = $99

Let she can buy maximum of x watches, so the net price of the watches is $99x.

Then,

\Rightarrow 99x+84=1150\\\\\Rightarrow 99x=1150-84\\\\\Rightarrow 99x=1066\\\\\Rightarrow x=\dfrac{1066}{99}\\\\\Rightarrow x=10.77

As the number of watches can not be in fraction, so at most she can buy 10 watches.

8 0
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Hitman42 [59]

Answer:

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