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Oduvanchick [21]
3 years ago
8

Determine which sides/angles need to be congruent in order to prove the triangles are congruent by the desired theorem

Mathematics
1 answer:
aleksley [76]3 years ago
8 0
The right side needs to be congruent
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The ordered pairs (6, 8), (9,12),(x, 20),(18,y) represent a proportional relationship. find the value of x and y. (choose two an
Reil [10]

Answer:

  • We have two points so let's use them effectively
  • We know that the x changes by 3 and the y changes by 4
  • Hence to get to y=20 we moved 2 times (8 units) so it's 9+ 3 + 3= 15
  • So x= 15
  • Now for y We have an x= 18, from 9 we moved 9 units of 3 total intervals: 4+4+4+12= 24
  • y=24
8 0
3 years ago
Write the slope-intercept form of the equation that passes through the point (-1, 2) and is parallel to the line y = 3/2x + 6
horsena [70]

-------------------------------------------------------------------------------------------------------------

Answer:  \textsf{y = 3/2x + 7/2}

-------------------------------------------------------------------------------------------------------------

Given: \textsf{Passes through (-1, 2) and parallel to y = 3/2x + 6}

Find:  \textsf{The equation in slope-intercept form}

Solution:  In order to determine the equation we know that our line is going to be parallel which means that the slope is the same and we need to use the point-slope form to help us.  After plugging in the values we just simplify and solve for y to convert to slope-intercept form.

<u>Plug in the values</u>

  • \textsf{y - y}_1\textsf{ = m(x - x}_1\textsf{)}
  • \textsf{y - 2 = 3/2(x - (-1))}

<u>Simplify and distribute</u>

  • \textsf{y - 2 = 3/2(x + 1)}
  • \textsf{y - 2 = (3/2 * x) + (3/2 * 1)}
  • \textsf{y - 2 = 3/2x + 3/2}

<u>Add 2 to both sides</u>

  • \textsf{y - 2 + 2 = 3/2x + 3/2 + 2}
  • \textsf{y = 3/2x + 3/2 + 2}
  • \textsf{y = 3/2x + 7/2}

Therefore, after completing the steps we were able to determine that the equation that fits the description is y = 3/2x + 7/2.

4 0
2 years ago
Suppose tortilla Chips cost 25.5 cents per ounce. What would a bag of chips cost if it contained 23oz?
avanturin [10]

Answer:

586.5 cents

Step-by-step explanation:

if one ounce costs 25.5 cents and the bag contains 23 oz, you multiple 25.5 by 23 to get 586.5

4 0
3 years ago
How many two-digit numbers can be made from the following cards?
liraira [26]

Answer:

25 numbers

Step-by-step explanation:

we have five different bases to choose from

(1,2,3,4,5)

5 {}^{2}  = 25

8 0
3 years ago
Complete the following statements using m(x) = x² and n(x) = x – 3.
larisa [96]

Answer: x-3, 3, is not equal to

Step-by-step explanation:

7 0
3 years ago
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