Check the picture:
Rotating JKL 180° with respect to the origin, and translating it 1 unit up, we get J'K'L'.
That is, the 2 triangles match perfectly.
Answer:
<span>△JKL is congruent to △J′K′L′ because you can map △JKL to △J′K′L′ using a rotation of 180° about the origin followed by a translation 1 unit up, which is a sequence of rigid motions.</span>
Answer:
The equation of the line in the slope-intercept form is y = -5x + 79
Step-by-step explanation:
The slope-intercept form of the linear equation is y = m x + b, where
- m is the slope of the line
- b is the y-intercept
∵ The slope of the line is -5
∴ m = -5
∵ The form of the equation is y = m x + b
→ Substitute the values of m in the form of the equation
∴ y = -5x + b
→ To find b substitute x and y in the equation by the coordinates
of any point on the line
∵ The line passes through the point (18, -11)
∴ x = 18 and y = -11
∵ -11 = -5(18) + b
∴ -11 = -90 + b
→ Add 90 to both sides to find b
∵ -11 + 90 = -90 + 90 + b
∴ 79 = b
→ Substitute it in the equation
∴ y = -5x + 79
∴ The equation of the line in the slope-intercept form is y = -5x + 79
Answer:
Length = 12 inches, height = 3 inches
Step-by-step explanation:
First, you have to set up a proportion. 2/7, x/42.
Then, you cross multiply and get the setup of 84=7x
Finally, you divide 84 by 7 and get 12.
12 is the length, and there is no other answer that has 12 in the height. You could just do the same proportion to get 3, though.
Answer:
30 because width times length so 5 times 6 equals 30
Step-by-step explanation:
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kdjdjdnnebendjdnennej Zhu's nendjdnndndbebdb
75% is equal to ¾
easiest way to do this is to make the smaller number a
multiple of 4.
<span>say the smaller number is 8. </span>
To find the larger number, you must take 75% of 8 and then
add it to 8.
1/4 of 8 equals 8 divided by 4, which is 2.
<span>Therefore, 3/4 of 8 is 6. 8 + 6 = 14. </span>
<span>So your two numbers could be 8 and 14.</span>