Answer:
Step-by-step explanation:
Answer:
y= -1.4x-6.6
Step-by-step explanation:
(1,-8)
7x+5y=-7
Make the equation into standard form
Subtract 7x from both sides
5y=-7x-7
Divide all by 5
y=-1.4x-1.4
Since they are parrallel, we know the slope is -1.4x
y=-1.4x+b
(1,-8) is one of the points it goes through
Replace the x and y in the equation for the x and y in the incomplete equation
-8=-1.4+b
Add 1.4 to both sides
-6.6=b
Thus the equation is
y=-1.4x-6.6
Triangle ABC is similar to triangle CEF.
<u>Explanation:</u>
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Diagram is inserted for the reference.
ABCD is a rectangle.
ABC is a right angled triangle because all the angles of the rectangle are 90◦ - (a)
CEF is a right angled triangle because FE is perpendicular to DC – (b)
In triangles ABC and CEF,
1. Angle ABC = Angle CEF = 90◦ (Both are right angles from a and b)
2. Angle BCA = Angle EFC (Alternate angles on parallel lines are equal on intersection)
Hence using Similarity property of AA (Angle, Angle), Triangle ABC and CEF are similar.
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Answer:
x = 135°
Least to greatest
90°, 90°, 90°, 135° and 135°
Step-by-step explanation:
All the angles in this pentagon adds up to 540
(x - 45) + x + (x - 45) + (x - 45) + x = 540
x - 45 + x + x - 45 + x - 45 + x = 540
Collect like terms and place them on either side
5x = 540 + 45 + 45 + 45
5x = 675
Divide both sides by 5 to make x on its own
x = 135°
Angle measures of the pentagon from least to greatest
135 - 45 = 90
90, 90, 90, 135 and 135
