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Elden [556K]
2 years ago
15

Based only on the information given in the diagram, it is guaranteed that

Mathematics
1 answer:
makkiz [27]2 years ago
4 0

Answer: True

Step-by-step explanation:

There are two pairs of congruent angles, meaning the triangles are similar by AA.

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If angle X and Y are complementary angles, which of the following must be true?
andrey2020 [161]

Answer:

D) Cos X = Sin Y

Step-by-step explanation:

If angle X and Y are complementary angles, as shown in the attachment, then;

\cos X=\frac{a}{b}

and

\sin Y=\frac{a}{b}

We can see clearly that both ratios are the same.

This implies that:

\cos X=\sin Y

Therefore the correct answer from the given options is D

5 0
3 years ago
Can someone please help me with this?
Andru [333]

Answer:

Option D

Step-by-step explanation:

<u>Convert to slope-intercept form:</u>

4x-2y=2

-2y=2-4x

y=-1+2x

y=2x-1

<u>Find the x-intercept by plugging in y=0:</u>

<u />y=2x-1<u />

<u />0=2x-1<u />

<u />1=2x<u />

<u />\frac{1}{2}=x<u />

<u />x=\frac{1}{2}<u />

Therefore, the x-intercept is (\frac{1}{2},0)

<u />

<u>Find the y-intercept by plugging in x=0:</u>

<u />y=2x-1<u />

<u />y=2(0)-1<u />

<u />y=0-1<u />

<u />y=-1<u />

Therefore, the y-intercept is (0,-1)

So, the correct answer is option D.

4 0
2 years ago
Read 2 more answers
What is the mad of 6,8,10
lana [24]

Answer:

6 + 8 + 10 = 24 ÷ 3 = 8

8 - 6 = 2

8 - 8 = 0

8 - 10 = 2

2 + 0 + 2 = 4 ÷ 3 = 1.3

your mad would be 1.3

4 0
3 years ago
The book store is having a sale where all hardcover books are 20% off. Jamie also has a coupon for 15% off any fiction book. Jam
scoray [572]

You can use the fact that both 20% and 15% discounts will be merged to reduce 35% of the price of the book that Jamie buys.

By buying the book on sale and using the coupon, Jamie will save

Option B: $11.55

<h3>
How are discounts calculated for the case when its sale and we've got discount coupons too?</h3>

Suppose the sale gives p% off.

And the discount coupon provides q% off.

Then we have total discount applied on the cost of the object bought as

(p+q)%

<h3>How to find the percentage from the total value?</h3>

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

\dfrac{a}{100} \times b

<h3>Using the above fact to calculate the amount that Jamie saved </h3>

Since the sale offers 20% discount and Jamie has got 15% discount coupon for any fiction book, thus, total 35% will be discounted if Jamie buys fiction book.

Since the price of the fiction book that Jamie brought is $32.99, thus,

Saved amount = 35% of $32.99 = \dfrac{32.99}{100} \times 35 = 0.3299 \times 35 \approx \$11.55

Thus,

By buying the book on sale and using the coupon, Jamie will save

Option B: $11.55

<h3 />

Learn more about percentage here:

brainly.com/question/11549320

5 0
2 years ago
Which one is greater?<br> 4 yd or 144 in.
ozzi

Answer:

144 inches is 4 yards

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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