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3 years ago

All acute angles measure less than 90 degrees.

Mathematics

2 answers:

Jobisdone [24]3 years ago

7 0

I Would Say The Answer Is C

Jobisdone [24]3 years ago

4 0

C. If angle C is acute, then it measures less than 90 degrees.

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Find equation of a line through 5 -3 that is parallel to y=1/2x+3

xxTIMURxx [149]

Answer:

The equation of a line through (5 -3) that is parallel to y = 1/2 x+3 is

y = - 2 x + 7

Step-by-step explanation:

Let us assume the slope of the line whose equation we need to find is m 1.

The line parallel to the needed line is: y=1/2x+3

Comparing it with the general form: y = m x + C

we get m 2 = 1/2

Now, as Line 1 is Perpendicular to Line 2.

⇒ m 1 x m 2 = -1

⇒ m 1 x ( 1/2) = -1

⇒ m 1 = - 2

Also, the point son the line 1 is given as: (x,y) = (5,-3)

Put the value of point and Slope in y = m x + C to find the value of Y- INTERCEPT.

we get: -3 = (-2) (5) + C

or, C = -3 + 10 = 7

⇒ C = 7

The general line equation is given as: y = m x + C

Substituting the values of C and m, we get:

y = - 2 x + 7

Hence, the equation of a line through 5 -3 that is parallel to y = 1/2 x+3 is

y = - 2 x + 7

8 0

2 years ago

Sasha buys two ribbons of equal length. She cuts 9 pieces of the same length, L, from the first ribbon and finds that 5 inches a

nikitadnepr [17]

Answer:

50 inches.

Step-by-step explanation:

Let the length of the each ribbon was x.

Now, she cuts 9 pieces of same length L which means total length is 9L.

Now, doing the same she was left with 5 inches of ribbon. Hence, we have

[tex[9L+5=x.....(1)[/tex]

Similarly, we can write a equation for the second situation.

$2L+40=x......(2)$

From equation 1 and 2,

$9L+5=2L+40\\\\7L=35\\\\L=5$

Plugging this value in equation 1,

$9(5)+5=x\\\\x=45+5\\x=50$

Therefore, the length of each ribbon when she bought them was 50 inches.

3 0

3 years ago

Estimate 32% of 19.

Kipish [7]

Answer: 13

Step-by-step explanation: calculator

5 0

2 years ago

Read 2 more answers

Which of the following is a rational number?

hammer [34]

im not sure but I think it is b

5 0

2 years ago

Read 2 more answers

a store sells grass seed in small bags and large bags.the small bags have 7 pounds of seed for 27.93 and large bags cost 66.98.w

Nonamiya [84]

Answer

Find out the ratio of price to pound for each bag.

To prove

As given

A store sells grass seed in small bags and large bags.the small bags have 7 pounds of seed for $27.93 .

7 pound = $27.93

Now find out the cost for the 1 pound.

$1\ pound\ cost= \frac{27.93}{7}$

1 pound cost = $3.99

As given large bags cost $66.98.

Now find out pounds in the large bags.

Let us assume that the number of pounds in the large bags be x.

Than

3.99 × x = 66.98

$x = \frac{66.98}{3.99}$

x = 16.8 pounds (approx)

Now find out the ratio of price to pound for each bag.

As small bags weight = 7 pounds

Cost of the small bags = $27.93

$\frac{Price\ of\ small\ bag}{Cost\ of\ the\ small\ bags} = \frac{27.93}{7}$

As large bags weight = 16.8 pounds

Cost of the large bags = $66.98

$\frac{Price\ of\ large\ bag}{Cost\ of\ the\ large\ bags} = \frac{66.98}{16.8}$

Hence proved

7 0

3 years ago