Answer:
78 cm²
Step-by-step explanation:
since all sides are congruent you multiply the one measurement 6 times,so you do 13 × 6 equals 78
the square root of 25 is 5
5x5=25
First create the equation y=Mx+ B
B is the y intercept so when y = 0, B = -1.
Now we have y=Mx - 1
The slope is M. We can calculate this by using the formula M = (y2 -y1) / (x2 - x1)
Use the points (0, -1) and (2,3) for these values. So y2 = 3, y1 = -1, x2 = 2, x1 = 0
Plug them into the equation and solve
M = (3 + 1) / (2 - 0)
M = 4/2 = 2
Now we have the equation y = 2x - 1
Next to figure out if the points given are on the line you take the values and plug them into your equation like so: 4 = 2(-2) - 1
2(-2) - 1 does not equal 4 so this point does not fall on this line. Follow this same procedure for the next point given.
Answer:
$1.35
Step-by-step explanation:
x: quarter=$0.25
y: dime=$0.10
z: nickel=$0.05
so total amount of changes
= (0.25*x)+(0.10*y)+(0.05*z)
x=3, y=5, z=2
substituting into the eqn
total = (0.25*3)+(0.10*5)+(0.05*2)
= 0.75 + 0.5 + 0.1
= $1.35
Lets x = measure of the second angle, so m<2 = x
m<1 = 2x (<span>the measure of the first angle is twice the measure of the second angle)
</span>m<3 = x + 96 (<span>96 degrees more than the measure of the second angle)
</span>
x + 2x + x+ 96 = 180
4x + 96 = 180
4x = 84
x = 21
2x = 2(21) = 42
x + 96 = 21+96 = 117
answer
m<1 = 42
m<2 = 21
m<3 = 117
Double check
sum = 180
m<1 + m<2 +m<3 = 180
42+21+117=180
180=180
