Answer:
The first one, or y= -x + 8
Step-by-step explanation:
You can rule out the last one, because there is no y intercept. If there was no y intercept, the dots would be passing through the origin (0).
The one with -8 is not right because the y intercept is positive 8. If you count on the y axis (up 8), it matches with the overall direction of the line.
The line/ slope of this scatter plot is negative, so the only one that makes sense would be the first one. Going up and from right to left is a positive slope. Going down from left to right is a negative slope.
Answer:
5) 106°
6)
7) 46°
8) 102°
Step-by-step explanation:
Find the measure of the angle indicated in bold.
We are to find x
5) This follows the rule of Alternate Interior angles
= 12x + 10 = 13x + 2
Collect like terms
= 10 - 2 = 13x - 12x
= 8 = x
x = 8
The angle indicated in bold = (13x + 2)°
= 13 × 8 + 2
= 104 + 2
= 106°
6) This follows the rules of consecutive interior angles
x - 70 + 130 + x = 180
2x + 60 = 180
2x = 180 - 60
2x = 120
x = 120/2
x = 60
7)This follows the rule of Alternate Interior angles
22x + 2 = 21x + 6
Collect like terms
22x - 21x = 6 - 2
x = 4
The angle in bold is (22x + 2)°
Hence,
(22 × 2 + 2)°
44 + 2 = 46°
The measure of the angle is 46°
8) This follows the rule of corresponding angles
13x + 11 = 14x + 4
Collect like terms
11 - 4 = 14x - 13x
7 = x
x = 7
The angle in bold is (14x + 4) °
(14 × 7 + 4)°
=( 98 + 4)°
= 102°
Answer:
Base=8 feet
Height=17 feet
Step-by-step explanation:
Let
Base=x
Height=3x-7
Area=68 square feet
Area of the sail boat=1/2 * base * height
68 = 1/2 * x * (3x-7)
Cross product
68 * 2 =(1) * (x) * (3x-7)
136 = 3x^2 - 7x
3x^2 - 7x - 136=0
Using quadratic formula
x= -b +or- √b^2 - 4ac / 2a
= -(-7) +or- √(-7)^2 - (4)(3)(-136) / 2(3)
= 7 +or- √49 - (-1632) / 6
= 7 +or- √49+1632) / 6
= 7 +or- √1681 / 6
=7 +or- 41 /6
x= 7+41 / 6 or 7-41 / 6
=48/6 or -34/6
=8 or -17/3
Answer:
Step-by-step explanation:
Let
Base=x
Height=3x-7
Area=68 square feet
Area of the sail boat=1/2 * base * height
68 = 1/2 * x * (3x-7)
Cross product
68 * 2 =(1) * (x) * (3x-7)
136 = 3x^2 - 7x
3x^2 - 7x - 136=0
Base of the boat can't be a negative value
Therefore,
Base = x = 8 feet
Height= 3x-7
=3(8)-7
=24-7
=17 feet
Answer:
a)Slopes of opposite sides are equal
b)Length of opposite sides are equal.
Step-by-step explanation:
By definition of a parallelogram we have
A quadrilateral whose opposite sides are parallel and equal in length. Thus the answer should be ABCD is a parallelogram as the <u>slope of both pair of it's opposite sides are equal </u>and because the <u>lengths of the opposite sides are equal</u>.
What is the system of equations??