Answer:
x = 24
obtuse isosceles triangle
Step-by-step explanation:
x = 24 because a triangle has to have all the angles add up to 180. So x + x +132 = 180.
180-132 = 2x
48 = 2x
x = 24
It is an isosceles because two of the angles are the same and one is different which means two of the sides are the same and one is different. (isosceles = icicle is how I remember it). Obtuse because there is an angle that is over 90 degrees.
Answer:
y-30 = 3(x-1)
Step-by-step explanation:
Point-slope form of an equation is
y-y1 = m(x-x1) where (x1,y1 ) is a point and m is the slope
We know on day 1 they exercised 30 minutes (1,30) where x is the number of days and y is the minutes. The rate increased 3 minutes each day so m = 3
y-30 = 3(x-1)
Answer:
4,
Step-by-step explanation:
graph is a sad face, therefore a is negative. so 1 and 3 are out. the c is the y intercept, and the y intercept is at tye positve side. so 4 is the correct one.
Answer:
l = 29.4 yards
w = 66.8 yards
General Formulas and Concepts:
- Order of Operations: BPEMDAS
- Perimeter of a Rectangle: P = 2w + 2l
Step-by-step explanation:
<u>Step 1: Define</u>
P = 163 yards
w = 2l + 8
l = l
<u>Step 2: Set up equation</u>
P = 2w + 2l
163 = 2(2l + 8) + l
<u>Step 3: Solve for </u><em><u>l</u></em>
- Distribute 2: 163 = 4l + 16 + l
- Combine like terms: 163 = 5l + 16
- Subtract 16 on both sides: 147 = 5l
- Divide both sides by 5: 147/5 = l
- Rewrite: l = 147/5
- Evaluate: l = 29.4 yards
<u>Step 4: Find </u><em><u>w</u></em>
- Define: w = 2l + 8
- Substitute: w = 2(29.4) + 8
- Multiply: w = 58.8 + 8
- Add: w = 66.8 yards
4. angle H is congruent to angle B
5. GH/DJ = AB/DC