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3 years ago

If A = 28, what must the measure of D be in order for ABC to be similar to DEF?

Mathematics

2 answers:

oee [108]3 years ago

6 0

Answer: Its 28 on apex

sergij07 [2.7K]3 years ago

5 0

If it is a right triangle, subract 90, from 180 and then subtract 28 to get D. D should = 62

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The sum of the reciprocals of two consecutive even integers is 3/4 Find the two integers.

Vedmedyk [2.9K]

$\Large{ \underline{ \underline{ \bf{ \orange{Solution:}}}}}$

Let one of those even numbers be x, Then other even number would be x + 2.

According to question,

⇛ Their reciprocal add upto 3/4

So, we can write it as,

⇛ 1/x + 1/x + 2 = 3/4

⇛ x + 2 + x / x(x + 2) = 3/4

⇛ 2x + 2 / x² + 2x = 3/4

Cross multiplying,

⇛ 3(x² + 2x) = 4(2x + 2)

⇛ 3x² + 6x = 8x + 8

⇛ 3x² - 2x - 8 = 0

⇛ 3x² - 6x + 4x - 8 = 0

⇛ 3x(x - 2) + 4(x - 2) = 0

⇛ (3x + 4)(x - 2) = 0

Then, x = -4/3 or 2

☃️ It can't be -4/3 because it is fraction and negative number. So, x = 2

Then, x + 2 = 4

✤ So, The even numbers are 2 and 4.

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4 0

3 years ago

In ΔQRS, the measure of ∠S=90°, SQ = 43 feet, and RS = 23 feet. Find the measure of ∠R to the nearest degree.

enyata [817]

Answer: 62

Tan-1 (43/23) = 61.85

X = 62

6 0

3 years ago

Read 2 more answers

Help me...............

icang [17]

Answer:

1. Hundredths

2. Thousandths

3. Tenths

8 0

3 years ago

Read 2 more answers

Alisa had some juice in a bottle. Then she drank 3/8 liter of juice. If this was 3/4 of the juice that was originally in the bot

Inessa [10]

3/4 x ? = 3/8

3/8 ÷ 3/4 = ?

3/8 x 4/3 = 12/24

12/24 = 1/2

1/2 of a liter was there to start.

8 0

3 years ago

A shop has a sale that offers 20% of all prices.

Nana76 [90]

<h2>Greetings!</h2>

Answer:

40% reduction

Step-by-step explanation:

To answert this, we need to find how much of the price is each percentage. This can be found my subtracting the percent from 100:

Sale price: 100 - 20 = 80

Last day price: 100 - 25 = 75

Now we need to multiply these two values together, remembering to divide both numbers by 100 first:

80 ÷ 100 = 0.8

75 ÷ 100 = 0.75

0.8 * 0.75 = 0.6

Then multiply by 100 to find the percentage:

0.6 * 100 = 60

60% is the end price, but to find the overall reduction we need to subtract this value from 100:

100 - 60 = 40

So there was a 40% reduction on the price.

<h2>Hope this helps!</h2>

6 0

3 years ago