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3 years ago

If ∠CEF is complementary to ∠DCF, then ∠DCF ≅ ∠FEG.

Mathematics

2 answers:

adoni [48]3 years ago

5 0

Answer:

the answer is A

Step-by-step explanation:

scZoUnD [109]3 years ago

4 0

Answer:

Correct answer is A) Complements of the same angle are congruent.

Step-by-step explanation:

According to Congruent Complement Theorem,

" If 2 angles are complementary to the same angle, then they are congruent to each other".

Here, ∠CEF is complementary to ∠DCF, hence ∠DCF ≅ ∠FEG.

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3 years ago

What are scenarios for the ratios 2:10, 10:2, & 12:1?

frozen [14]

Answer:

2:10 2/10 2 to 10 10:2 10/2 10 to 2 12:1 12/1 12 to 1

Step-by-step explanation:

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3 years ago

the product of two consecutive integers n and n+1 is 42. what is the positive integer that satisfies the situation?

MrMuchimi

$n(n+1)=42 \\
n^2+n=42 \\
n^2+n-42=0 \\ \\
a=1 \\ b=1 \\ c=-42 \\ b^2-4ac=1^2-4 \times 1 \times (-42)=1+168=169 \\ \\
n=\frac{-b \pm \sqrt{b^2-4ac}}{2a}=\frac{-1 \pm \sqrt{169}}{2 \times 1}=\frac{-1 \pm 13}{2} \\
n=\frac{-1 -13}{2} \ \lor \ n=\frac{-1+13}{2} \\
n=\frac{-14}{2} \ \lor \ n=\frac{12}{2} \\
n=-7 \ \lor \ n=6$

The positive integer is 6.
The consecutive integers are 6 and 7.

8 0

3 years ago

Rebecca filled 28 glasses with orange juice for a camp breakfast. if each glass holds 1 cup of juice, how many quarts of orange

Art [367]

The number of quarts of orange juice did Rebecca use is 7

Given that 28 glasses with orange juice are filled for a camp breakfast

Each glass holds 1 cup of juice

We need to find the number of quarts of orange juice did Rebecca use

We know that a quarts has 4 cups

We need to calculate the quarts from 28 glasses

Let the number of the quarts be x

So the equation formed is

4x = 28

Where x is number of quarts and 28 are the number of glasses

x = 7

Hence the number of quarts is 7

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7 0

2 years ago

Josie deposited $450 in bank account. At begin of month. $35.20 is automatically deducted each month. At end of 4 months how muc

Vedmedyk [2.9K]

Step-by-step explanation:

given,

amount she deposited in bank = $450

amount get automatic deducted each month for her gym membership = $35.20

So, amount of money will left at the end of 4 months = 4 × 35.20 = $140.8

so, $450 - 140.8 = $309.2

therefore, $309.2 amount will remain at the end of 4 months.

3 0

2 years ago