Answer:
Step-by-step explanation:
=x^2-x+3+3x^2-3x+2
=5x^2-4x+5
The triangle: 4*4/2=8
The square: 4²=16
16+8=24
Answer:
70
Step-by-step explanation:
The angle not marked in the top triangle is 40 degrees since it is an isosceles triangle. That makes the angle opposite it in the other triangle 40 degrees since they are vertical angles and vertical angles are equal.
The bottom triangle has 3 angles that sum to 180 degrees, The other angle not marked is also y since it is an isosceles triangle.
40 + y +y = 180
Subtract 40 from each side and combine like terms
40-40 +2y = 180-40
2y = 140
Divide by 2
2y/2 = 140/2
y = 70
Answer:
x-intercept: 
y-intercept: 
Step-by-step explanation:
To find the x-intercept, substitute in 
for 
and solve for 
.
Simplify 2(0): 
Subtract 0 - 3 = -3: 
Subtract 7 from both sides: 
Simplify: 
Divide both sides by -4 
To find the y-intercept, substitute in for and solve for .
Switch sides: 
Simplify -4(0): 
Add 3 to both sides: 
Simplify: 
Divide both sides by 2: 
X = 21, angle AGE = 98˚, and angle GHD = 98˚
Notice from the graph that angles AGE and BGH are supplementary. This means that their sum is 180˚. Therefore, to find the value of x, we must solve the equation (5x – 7) + (3x + 19) = 180
To do this, we must isolate the variable on one side by undoing the equation. We do this by first combining like terms. In this case, the variable values, and the non–variable values.
***Before doing this, make it all addition by converting – (+7) into + (–7)
So our equation is 5x + 3x + –7 + 19 = 180.
5x + 3x = 8x and –7 + 19 = 12 Now we have 8x + 12 = 180
This is a simple equation. We undo the addition by subtracting 12 from both sides: 8x + 12 – 12 = 180 – 12 8x = 168
Then, we undo the multiplication by dividing 8 by both sides: 8x ÷ 8 = 168 ÷ 8 x = 21 We can check to, as (5 • 21 – 7) + (3 • 21 + 19) = 180
Now, we can easily figure out the measurements of your angles: angle AGE = 5 • 21 – 7 = 98 So the measure of angle AGE = 98˚
Upon observing the diagram more closely, you can see that angle AGE and GHD are congruent, meaning they have the same measurements. This means that if angle AGE = 98˚, then so does angle GHD.
So, x = 21, angle AGE = 98˚, and angle GHD = 98˚
