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melamori03 [73]
3 years ago
14

What is the measurement of

Mathematics
1 answer:
Sophie [7]3 years ago
8 0

Answer: Angle A = 120° and angle C = 45°

Step-by-step explanation: The first thing to note at the back of our minds is that the sum of the interior angles of a triangle equals 180°. Given that the three angle are available, we can start by adding them all together. Hence,

{12x + 12} + 15 + {3x + 18} = 180

12x + 12 + 15 + 3x + 18 = 180

By collecting like terms, we arrive at,

12x + 3x + 12 + 15 + 18 = 180

15x + 45 = 180

Subtract 45 from both sides of the equation

15x = 135

Divide both sides of the equation by 15

x = 9

At this point, we can now substitute for the value of x = 9 in the expressions representing angles A and C.

Angle A = 12x + 12

= 12(9) + 12

= 108 + 12

= 120

Angle A = 120°

Angle C = 3x + 18

= 3(9) + 18

= 27 + 18

= 45

Angle C = 45°

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What is the expression is factored form? X^2 + 14x + 48
galben [10]

Answer:

Factored form of the expression is ( x+ 8)(x + 6).

Step-by-step explanation:

The given expression is x² + 14x + 48.

We have to convert the expression in factored form

x² + 14x + 48 = x² + 8x +6x + 48

= x(x + 8) + 6(x + 8) = (x + 8)(x + 6)

Therefore the factored form of the expression is (x + 8)(x + 6).

6 0
3 years ago
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Which of the points are solutions to the inequality? Check all that apply. (–3, 3) (–2, –2) (–1, 1) (0, 1) (2, 5)
brilliants [131]

Answer:

the CORRECT answers for this are B,D,E.

Step-by-step explanation:

just did it <3.

3 0
3 years ago
HELP HELP HELP HELP<br>show the steps too. I'll give BRAINLIEST!​
natali 33 [55]
Move constant to the right-hand side and change its sign

2x^2 + 8 = -2 + 7
-2 + 7 = 5

Divide both sides of the equation by

x^2 + 4x = 5/2

Add (4/2^2) to both sides of the equation

x^2 + 4x + (4/2)^2 = 5/2 + (4/2)^2

factor the expression

(x + 4/2)^2 = 13/2

reduce the fraction by 2

(x + 2)^2 = 13/2

now solve equation for x




3 0
3 years ago
Find the slope of the line that passes through the points (0,-11) and (8,-8).
Korolek [52]

To find the slope of a line, we can use the following formula:

\displaystyle \large{m =  \frac{y_2 - y_1}{x_2 - x_1} }

m-term stands for slope or gradient. The formula is useful whenever you want to find a slope of two points.

Let these be the following:

\displaystyle \large{(x_1,y_1) = (0, - 11)} \\  \displaystyle \large{(x_2,y_2) = (8, - 8)}

Substitute the points in formula:

\displaystyle \large{m =  \frac{ - 8 -( - 11)}{ 8 - 0} }

Negative multiply negative always come out as positive.

\displaystyle \large{m =  \frac{ - 8  +  11}{ 8 - 0} } \\  \displaystyle \large{m =  \frac{ 3}{ 8 } } \\

Since m stands for slope, we can say that:

\displaystyle  \large \boxed{ \tt{slope  =  \frac{3}{8} }}

5 0
3 years ago
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Boskyville is planting trees along both sides of its streets. the trees will be planted 50 feet apart. the first tree on the blo
tresset_1 [31]
The first thing we are going to do for this case is to define the following variable:
 x = number of trees.
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 nearest whole integer
 x = 8
 Answer:
 
will be planted along one block about 8 trees.
5 0
3 years ago
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