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nydimaria [60]
1 year ago
12

∠ABC and ∠DBC are complementary angles. If m∠ABC=6x+13 and m∠DBC=4x−3 what is the value of x?

Mathematics
1 answer:
egoroff_w [7]1 year ago
4 0

Answer:

x=8

Step-by-step explanation:

Complementary angles are equal to 90 degrees.

angle ABC + angle DBC = 90

6x+13+4x-3=90

Combine like terms

6x+4x+13-3=90

10x+10=90

get x alone by subtracting 10 on both sides

10x=80

divide 10 on both sides

x=8

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The average sunflower has 34 petals. What is the best estimate of the total number of petals on 57 sunflowers?
Marianna [84]
The best estimate would be to assume that they all have an average number of petals.

An estimate of 1,938 petals
4 0
2 years ago
Amanda has 26 nickels and dimes in her piggy bank. the number of nickels is two fewer than three times the number of dimes. how
vitfil [10]
<span>Amanda has 26 nickels and dimes. We shall call nickels x and dimes y. We can write the following equations: x = 3y -2 or -x +3y = 2 x + y = 26 We can cancel out the x to give 4y = 28 or y = 7 If there are 26 coins in total and 7 of them are dimes then there must be 19 nickels. The number of nickels (19) is two fewer than three times the number of dimes ( 3(7) - 2 = 19).</span>
4 0
1 year ago
Find the difference. Express your answer in
Leokris [45]

Answer:

-4g-3

------------

g+2

Step-by-step explanation:

g+1                     5g+4

-------------  -   ------------------

g+2                     g+2

Since the denominators are the same, subtract the numerators

g+1 - (5g+4)

Distribute the negative sign

g+1 -5g-4

-4g-3

Put this back over the denominator

-4g-3

------------

g+2

6 0
2 years ago
Read 2 more answers
Which solution is the best estimate to the system of equations? {y=14x−2y=−2x+3 (2.2, −1.4) (0, 3) (0, −2) (1.5, 0) A system of
sertanlavr [38]

Answer:

The best estimate solution to the system of equations is (0, 3)

Step-by-step explanation:

we have

y=14x-2 ------> equation A

y=-2x+3 -----> equation B

Solve the system by elimination

Multiply the equation B by 7 both sides

(7)y=(7)(-2x+3)

7y=-14x+21 -------> equation C

Adds equation A and equation C

y=14x-2

7y=-14x+21

-----------------

y+7y=-2+21

8y=19

y=19/8

Find the value of x

y=14x-2

19/8=14x-2

19=112x-16

112x=19+16

112x=35

x=35/112

so

The solution is the point (35/112,19/8)

Convert to decimal number

(0.3125,2.375)

therefore

The best estimate solution to the system of equations is (0, 3)

3 0
2 years ago
Meredith started last week with $1,000 in her checking account. During the week, she wrote the checks below.
bazaltina [42]

Answer:

B. Meredith should have added the value of the paycheck.

Step-by-step explanation:

Meredith correctly identified the paycheck as a deposit (+), but she subtracted it from her balance when she should have added it.

5 0
1 year ago
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