A triangle adds up to 180 degrees.
67 + 52 + x = 180
x + 119 = 180
x = 61
(2t-4)(3t+3)
2t(3t+3)-4(3t+3)
6t^2+6t-12t-12
6t^2-6t-12
Answer:
27 cm
Step-by-step explanation:
So the ratio you have is
width(x) : length (36)= 3:4
Divide 36 (length) by the ratio length. 36÷4=9
They are multiples of nine, so multiply the width by 9 to get the 3.
3×9=27
You have 27:36
If you want to check it, divide both by 9 and you get 3:4
<h3>Answer:</h3>
y=-5x-2
<h3>Solution:</h3>
- We are given the line's slope and a point that it passes through.
- Using the given information, we can write the equation of the line in Point-Slope Form:
- In this formula, y₁ stands for the y-coordinate of the point, m stands for the slope of the line, and x₁ stands for the x-coordinate of the point.
- In this case, y₁ is equal to -12, m is equal to -5, and x₁ is equal to 2.
- Plug in the values:
- y-(-12)=-5(x-2)
- y+12=-5(x-2)
- Now, convert into Slope-Intercept Form, y=mx+b:
- y+12=-5x+10
- y=-5x+10-12
- y=-5x-2
Hope it helps.
Do comment if you have any query.
Step-by-step explanation:
z = (specific score - mean) / standard deviation
in our case
z = (105 - 101)/4.2 = 4/4.2 = 0.952380952... ≈ 0.95
as z-tables usually round the z-scores to hundredths.