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3 years ago

Six times the sum of a number and 9 equals 5. Use variable y for unknown number.

Mathematics

1 answer:

lapo4ka [179]3 years ago

7 0

Answer:

y = $-8 \frac{1}{6}$

Step-by-step explanation:

Six times the sum of a number and 9 equals 5.

6(y+9)=5

6y + 54 = 5

6y = -49

y = $-8 \frac{1}{6}$

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If m angle GEF is thirteen less than five times m angle DEG and m angle DEF = 149º, find m angle GEF.

Nina [5.8K]

Answer:

122*

122 degrees

Step-by-step explanation:

m∠GEF is 13 less than 5 times m∠DEG and m∠DEF = 149*

Solution:

As per given data,

m∠GEF = 5m∠DEG - 13* … (i)

m∠DEF = 149* -> m∠GEF + m∠DEG = 149* .. (ii)

Substituting value of m∠GEF in (ii)

We get,

(5m ∠DEG - 13*) + m∠DEG = 149*

6m ∠DEG - 13* = 149*

6m ∠DEG = 149* + 13* = 162*

m∠DEG = * = 27*

Substituting value of m∠DEG in (i)

We get,

m∠GEF = 5(27*) - 13*

m∠GEF = 135* - 13* = 122*

7 0

2 years ago

1/2 - 3/4 equals what

n200080 [17]

1. Method 1: By Listing MultiplesList out all multiples of each denominator, and find the first common one.

2: 2 , 4

4: 4
Therefore, the LCD is 4

Method 2: By Prime FactorsList all prime factors of each denominator, and find the union of these primes.
Therefore, the LCD is 2 x 2 = 4

2. Make the denominators the same as the LCD

 $\frac{1 x 2}{2 x 2} - \frac{3}{4}$

3. Simplify. Denominators are now the same.

 $\frac{2}{4} - \frac{3}{4}$

4. Join the denominators

$\frac{2-3}{4}$

5. Simplify

 $-\frac{1}{4}$

Done! :) Decimal Form: -0.25

5 0

3 years ago

A circle with a circumference of 111.6 cm is centered at the vertex of an angle. The rays of the angle subtend an arc that is 13

Bad White [126]

Answer:

1115555

Step-by-step explanation:

4 0

2 years ago

what is the solution to this system of equations (Use the elimination method by multiplying the first equation by 3.) 2x+y=20 6x

user100 [1]

Answer:

(7, 6)

Step-by-step explanation:

multiply first eq. by 3 to get 6x - 3y = 60

now do

6x + 3y = 60

- 6x - 5y = 12

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

8y = 48

solve for y: y = 6

with this y value, plug it in to the first equation (easier to solve) and get 2x + 6 = 20

solve for x and get x = 7

so ans is (7, 6)

5 0

3 years ago

If angle ABC equals 130, what would the vertical angle equal to?

Mariulka [41]

Answer:

400

Step-by-step explanation:

400

7 0

3 years ago