Answer:
Given triangles are similar
<h3>Value of x is 6.</h3>
Answer:
Complementary, 65
106+x=180
Step-by-step explanation:
Complementary angles add to 90, Supplementary angles add to 180
These are complementary angles
x+25 = 90
Subtract 25 from each side
x+25-25 =90-25
x = 65
The next questions they are supplementary angles because they add to 180
106+x=180
Subtract 106 from each side
106-106+x=180-106
x=74
Answer:
See answers below.
Step-by-step explanation:
<u>Large Rectangle:</u><u> </u> length x width = (x + 3)(x - 4) =
x² - 4x + 3x - 12
x² - x - 12
<u>Smaller Rectangle:</u> length x width = (x)(3) = 3x
<u>Shaded Region: </u>shaded area = lg. rectangle minus small rectangle
A = (x² - x - 12) - 3x
A = x² - 4x - 12
<u>Solve for x, if shaded reion's area is 48 square units: </u>
48 = x² - 4x - 12
x² - 4x - 12 -48 = 0
x² - 4x - 60 = 0
(x - 10)(x + 6) = 0
x - 10 = 0 or x + 6 = 0
x = 10 or x = -6
But x represents a length, so x cannot be -6.
x = 10
From the two points first we need to find the slope (m)
Using the slope and a point (4,3) we can write the equation in slope intercept form as:
y - 3 = 4(x-4)
y = 4x -16 + 3
y = 4x - 13
So the correct answer is option A
Answer:
1 1/4
Step-by-step explanation:
34÷710=?
Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.
Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes
34×107=?
For fraction multiplication, multiply the numerators and then multiply the denominators to get
3×104×7=3028
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 30 and 28 using
GCF(30,28) = 2
30÷228÷2=1514
The fraction
1514
is the same as
15÷14
Convert to a mixed number using
long division for 15 ÷ 14 = 1R1, so
1514=1114
Therefore:
34÷710=1 1/4