<1 and <7 measures 42 degrees
2 and 5 are alternate interior angles from the figure above
KFC
keep. change. flip
8/1 x 4/5= 32/5= 6 2/5
the answer is 6 2/5( six and two-fifths)
Answer:
1.5 MILES
Step-by-step explanation:
D = 2R
diameter is radius times 2
gettingtothe20word
limti
Answer:
- 2((4a +1) +8) cm
- 8a +18 cm
- 8a +18 = 42
Step-by-step explanation:
For the first line, you are copying the dimensions from the figure to the blanks. The dimensions on the figure are (4a +1), and (8), both in centimeters. When you have filled in that line, it will read ...
2((4a +1) +8) cm
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For the second line, you must collect terms and use the distributive property to eliminate parentheses from the above expression.
2((4a +1) +8) cm = 2(4a +9) cm = 2(4a) +2(9) cm
= 8a +18 cm
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The third line simply sets this expression equal to the given perimeter, 42:
8a +18 = 42
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<em>Additional comment</em>
To solve this equation, you can subtract 18 from both sides:
8a +18 -18 = 42 -18
8a = 24 . . . . . . . . . . . simplify
Then divide both sides by 8.
8a/8 = 24/8
a = 3
Finally, the length of the rectangle is ...
4a +1 = 4(3) +1 = 12 +1 = 13
The rectangle is 13 cm long and 8 cm high. Its perimeter is ...
2(13 +8) = 2(21) = 42 . . . cm
Given:
-2y + 5z = -3 <span>(first equation)
</span>y = -5x - 4z - 5 (second equation)
x = 4z + 4 <span>(third equation)<span>
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Solution:
PART 1
Substitute x with (4z + 4) in the second equation
y = -5x - 4z - 5
y = -5(4z + 4) - 4z - 5
Then simplify
y = -20z - 20 - 4z - 5
add like terms
y = -20z - 4z - 20 - 5
y = -24z - 25
PART 2 : Find the value of z
We got y is equal to (-24z - 25). Substitute y with (-24z - 25) in the first equation, and we'll find the value of z.
-2y + 5z = -3
-2(-24z - 25) + 5z = -3
48z + 50 + 5z = -3
add like terms
48z + 5z = -3 - 50
53z = -53
z = -53/53
z = -1
The value of z is equal to -1
PART 3: Find y and x
Find the value of y by substitution of -1 in the place of z.
y = -24z - 25
y = -24(-1) - 25
y = 24 - 25
y = -1
The value of y is equal to -1
Find the value of x by substitution of -1 in the place of z.
x = 4z + 4
x = 4(-1) + 4
x = -4 + 4
x = 0
The value of x is equal to 0