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Liono4ka [1.6K]
3 years ago
15

In the figure, c // d. What are the measures of <1 and <2? Enter your answers in the boxes. Just write the numbers. (not t

he degree symbols)
​

Mathematics
1 answer:
SpyIntel [72]3 years ago
8 0

Answer:  <1 = 105° and <2 = 75°

Step-by-step explanation:

The information we have is the 75 degree angle already provided. Using our knowledge on transverses we know a 180 degree angle is a straight line (we happen to have two of these (c and d)). Using the corresponding angle theorem we know angle 2 is equivalent to 75 degrees. Supplementary angles refer to angles that add up to 180 degrees. Angle 1 and 2 are supplementary so from there we solve.

180 - 75 = 105

<1 = 105 degrees

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A recipe calls for 3/8 cups of brown sugar for every 2/3 cups of white sugar. How many cups of brown sugar are used per cup of w
zalisa [80]

Answer:

9/16 Cup of Brown Sugar

Step-by-step explanation:

Convert the 3/8 Cups of Brown Sugar to 6/16 to make division easier.

So for every 2/3 Cup of White Sugar you use 6/16 Cup of Brown Sugar.

So 1/3 a Cup of White Sugar would use 3/16 a Cup of Brown Sugar.

So 3/3 or 1 Cup of White Sugar would use 9/16 a Cup of Brown Sugar

5 0
3 years ago
Consider the shape of this data.
djyliett [7]
B I assume, not 100% sure
4 0
3 years ago
I AM IN DESPERATE NED OF QUICK HELP PLEASEEEEEEEEEEEEEEEEEEEEEE!!!!!!!!!!!!!!!!!!!!!!
rosijanka [135]

Answer:

16

Step-by-step explanation:

To solve this equation, we need the formula for perfect squares:

  • (a + b)^2 = a^2 + 2ab + b^2

or

  • (a - b)^2 = a^2 - 2ab + b^2 <em>this is the formula we will use because the signs match the one in the question</em>.

Knowing these, we can set up an equation that assumes that the answer we will end up with is a perfect square.

Work:

(v - x)^2 = v^2 -8v + x^2

  • this is the setup for being able to solve for the unknown x, now we need to solve for x.

(v - x)^2 = v^2 - 8v + x^2 (I replaced 2ab with 8v because I'm setting up this question to be a perfect square).

(v - x) (v - x) = v^2 - 8v + x^2

  • multiply the left side. Remember that your answer will not be v^2 + x^2, but v^2 - 2vx +x^2.

v^2 - 2vx + x^2 = v^2 + 8v + x^2

  • Divide like terms and isolate the variable. In this case, v^2 and x^2 are on both sides, so dive them and they will be canceled out.

2vx = 8v

  • divide by 2v and you will have your value for x.

x = 4

  • Now we plug x into our original equation equation for perfect squares.

(v - 4)^2 = v^2 - 8v + 16

Our final answer is 16.

5 0
4 years ago
The math problem below is an example of which number property?<br> 24+17=17+24
vodka [1.7K]
It is commutative property.
4 0
3 years ago
Read 2 more answers
What function is shown in the graph above?
Verizon [17]

By definition of <em>linear</em> functions and the comparison with the attached figure, the function that represents the graph is y = (7/15) · x + 4, - 6 ≤ x ≤ 9.

<h3>What kind of function represents the graph?</h3>

Graphically speaking, <em>linear</em> functions represent lines and we see that the line seen in the figure presents two bounds, the points (- 6, 0) and (9, 7). <em>Linear</em> functions are characterized by slope and intercept:

y = m · x + b     (1)

Slope

m = (7 - 0)/[9 - (- 6)]

m = 7/15

Intercept

b = 4

By definition of <em>linear</em> functions and the comparison with the attached figure, the function that represents the graph is y = (7/15) · x + 4, - 6 ≤ x ≤ 9.

To learn more on linear functions: brainly.com/question/14695009

#SPJ1

8 0
2 years ago
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