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2 years ago

Angle DEF and Angle FEG are complementary. mDef=(3x-4)°, and mDEG=(5x+6). Find x.

Mathematics

2 answers:

Lilit [14]2 years ago

8 0

Answer:

x = 11

Step-by-step explanation:

Complementary means they add up to 90°

So add the angles up and set them equal to 90°

3x - 4 + 5x + 6 = 90

ADD the x's

8x - 4 + 6 = 90

COMBINE the -4 and 6

8x +2 = 90

SUBTRACT 2 from both sides.

8x = 88

DIVIDE by 8 on both sides.

8x/8 = 88/8

x = 11

Phantasy [73]2 years ago

4 0

Answer:

x = 11

Step-by-step explanation:

Complementary angles are the angles which are added up to 90°.

As, the given angles are complementary,

(3x - 4) + ( 5x + 6 ) = 90

Now solve for x.

(3x - 4) + ( 5x + 6 ) = 90

3x - 4 + 5x + 6 = 90

8x -4 + 6 = 90

8x + 2 = 90

8x = 90 - 2

8x = 88

Divide both sides by 8.

x = 11

Hope this helps you :-)

Let me know if you have any other questions :-)

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I dont understand how would i solve this

azamat

So those to angles added together equals 180° thus all you have to add those together and set it equal to 180 to find hat x equals, and then add 89 to it to find the highlighted angle.

x+109+x+89=180

add the numbers and x's together

2x+198=180

subtract 198 from each side

2x = -18

divide each side by 2

x = -9

Put -9 in for x in the equation x+89 to find that angle

-9+89

=80

ANSWER:

That angle equals 80°

4 0

3 years ago

Read 2 more answers

What is the equation, in slope-intercept form, of the line that passes through the points (−24, 5) and (16, −20)?

ser-zykov [4K]

Answer:

C (Y = -5/8x - 10)

Step-by-step explanation:

first find the slope (y₂ - y₁) ÷ (x₂ - x₁)

(5 - (-20)) ÷ (-24 - 16)

-5/8 = slope (m)

now that we know the slope is -5/8 we can rule out A and B

now to find the y intercept just substitute a point in for x and y

5 = (-5/8)(-24) + b

multiply

5 = 15 + b

subtract 15 from both sides tp isolate b

-10 = b

4 0

3 years ago

The population of Arizona in 1970 was 1775 thousand. In 1992 this number had

Licemer1 [7]

4396.6 bc the different between the years was 22 and 2060 thousand people and that divided is 93.6 and 3835 +93.6(6) is 4396.6 bc the 6 you multiply by is from the difference of 1998 and 1992

5 0

2 years ago

From the sample space S={1,2,3,4,...,15} a single number is to be selected at random. Given the following events, find the ind

marshall27 [118]

The probabilities of the given events are:

A. P(even) = P(A) = 7/15

B. P(multiple) = P(B) = 3/15

C. P(prime) = 6/15

D. P(B|A) = 3/7

<h3>What is probability?</h3>

Probability is defined as the ratio of the number of favorable outcomes of an event to the total number of possible outcomes.

P(E) = n(E)/n(S)

<h3>Calculation:</h3>

The given sample space is S = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15}

So, n(S) = 15

A. The selected number is even:

Consider the event as A.

The set of even numbers in the given sample is {2,4,6,8,10,12,14}

So, n(A) = 7

Then, the required probability is

P(A) = n(A)/n(S)

= 7/15

B. The selected number is a multiple of 4:

Consider the event as B.

The set of multiples of 4 in the given sample is {4,8,12}

So, n(B) = 3

Then, the required probability is

P(B) = n(B)/n(S)

= 3/15

C. The selected number is prime:

Consider the event as C.

The set of prime numbers in the given sample is {2,3,5,7,11,13}

So, n(C) = 6

Then, the required probability is

P(C) = n(C)/n(S)

= 6/15

D. calculate P(B|A):

Since events B and A are dependent events of the same sample,

n(A∩B) = 3 and the set is {4,8,12}. Then, P(B|A) is

P(B|A) = n(A∩B)/n(A)

⇒ P(B|A) = 3/7

Learn more about the probabilities here:

brainly.com/question/251701

#SPJ1

7 0

2 years ago

Bridget purchased 3 pairs of shoes online. The total bill of $126.81 included a $7.50 shipping charge and 6% tax on the total pu

Alika [10]

Answer:

$37.

Step-by-step explanation:

Firstly, let's set the price of each pair of shoe to be x.

Since each pair of shoes costs the same, and there are three pairs, we can set the original price to be 3x.

Now, to apply the shipping charge, all we have to do is add 7.50 to 3x, getting 3x + 7.5.

Next, to apply a 6% tax, we can multiple the whole expression by (100% + 6%), getting (3x + 7.5) $\cdot$ 106%.

Since the whole bill foots to a total of $126.81, we can set the final equation to be:

$(3x + 7.5) \cdot 106\% = $126.81$

$(3x + 7.5) \cdot \frac{106}{100} = $126.81$

$3x + 7.5 = $126.81 \cdot \frac {50}{53}$

$3x = $119.6 - 7.5$

$3x = 112.1$

$x \approx \$37$

Hope this helped!

6 0

3 years ago

Angle DEF and Angle FEG are complementary. mDef=(3x-4)°, and mDEG=(5x+6). Find x. ​

Angle DEF and Angle FEG are complementary. mDef=(3x-4)°, and mDEG=(5x+6). Find x.