Answer:
a and c
Step-by-step explanation:
Find the slope between each pair of points.
a. m = (16 − 10) / (6 − 3) = 2
b. m = (-3 − -12) / (-5 − -8) = 3
c. m = (3 − 4) / (2 − 0) = -1/2
Perpendicular lines have opposite inverse slopes. So a and c are perpendicular.
9514 1404 393
Answer:
10°, 80°
Step-by-step explanation:
<em><u>Setup</u></em>
Let x and y represent the measures of the two acute angles in the right triangle.
From your knowledge of right triangles, you know the two acute angles are complementary:
x + y = 90
The problem statement gives you another relation:
x = 2(y + 30) . . . . twice the sum ...
__
<em><u>Solution</u></em>
The second equation gives you an expression for x that can be substituted into the first equation.
(2(y +30)) + y = 90
3y +60 = 90 . . . . . . . . collect terms
3y = 30 . . . . . . . . . subtract 60
y = 10 . . . . . . . . divide by 3
x = 2(y +30) = 2(40) = 80
The two angles are 10° and 80°.
Answer:
B'C'D'
Step-by-step explanation:
The figure was just translated, without any deformation, these are similar figures... so their corresponding angles are the same.
Since it was just moved down by 4 units, none of the angles were changed, and none of the side lengths were changed.
Since vertex C' corresponds to vertex C, the angle B'C'D' corresponds to original angle BCD.
Answer:
Weekly Gross Income: $800
Anual Gross Income: $41,600
Monthly Gross Income: $3,466.67
Step-by-step explanation:
Weekly: 40 x 20 = 800
Anual: 40 x 20= 800 800x52= 41,600
Monthly:41,600 / 12= 3,466.6666666666666666666666
Answer:
5:2
Step-by-step explanation:
divide both numbers by 7
hope this helps...
