Answer:
By using the rule that the interior angles of any triangle equal 180 we see that:
m<ABC+m<CAB+m<ACB=180°
Therefore,
(2x+15)+(x+10)+(3x+5) = 180°
Now we have an equation and can solve for x:
Combine like terms:
(2x+15)+(x+10)+(3x+5) = 180°
6x+30=180°
6x+30-30=180-30
6x=150
x=25
To check our work just plug in 25 for x in each equation and the sum of those answers should add up to 180:
2x+15
2(25)+15
65
x+10
25+10
35
3x+5
3(25)+5
75+5
80
65+35+80=180
x=25 is valid
Step-by-step explanation:
Let’s use y as a replacement for a number. You would do 3y-7 since you multiply by three and take away seven.
Answer:

Step-by-step explanation:
To begin simplifying this, we can first divide the coefficients, giving us:

We know that when dividing exponents, this means we need to subtract the exponent on the denominator from the numerator. This gives us:

Now, simplifying this gets:

Answer:
The coordinates of D is (-4,-9)
Step-by-step explanation:
Given
C = (2,7)
<em>M=(-1,-1) ----- Missing part of question</em>
Required
Determine the coordinates of D
<em>Let the coordinates of D be (x₂,y₂)</em>
<em>We'll solve this question using mid point formula;</em>
<em></em>
<em></em>
<em>Where</em>
and 
Put these values in the formula

By comparison;
and 

Multiply both sides by 2

Subtract 2 from both sides



Multiply both sides by 2

Subtract 7 from both sides


<em>Hence, the coordinates of D is (-4,-9)</em>