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frutty [35]
3 years ago
14

Two thirds of the class finished the test on time. What fraction of the

Mathematics
1 answer:
Umnica [9.8K]3 years ago
4 0

Answer:

1/3 of the class didn't finish their work

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What is the length of segment LP?
Mariana [72]
In the image, as denoted by similar sides OP and MN, we can conclude that the 2 triangles are similar triangles. To look for the value of x (which we can substitute later to find the length of segment LP), we relate the relations of segments LO and LP to segments LM and LN. This relation is shown below:

LO/LP = LM/LN

22 / x+12 = 30 / x+12 + 5
22 / <span>x+12 = 30 / x+17
</span>
Cross-multiplying:
30x + 360 = 22x + 374

Isolating x to one side of the equation by subtracting 22x and 360 from both sides:

30x + 360 - 360 - 22x = 22x + 374 - 360 - 22x
8x = 14
x = 1.75

Since we now have the value of x, we substitute this to the equation of LP:
LP = x + 12
LP = 1.75 + 12
LP = 13.75

Therefore the value of LP is 13.75 in.

8 0
3 years ago
HELP!?! PLEASE!! Which pair of fractions shows 7/9 and 5/12 correctly converted with their least common denominator?
svlad2 [7]
Least\ common\ denominator:\\\\\frac{7}{9}\ \ \ \frac{5}{12}\ \ we\ need\ to\ find\ number\ which\ can\ be\ divided\ by\ 12\ and\ 9\\\\\frac{7\cdot4}{9\cdot4}\ \ \ \frac{5\cdot3}{12\cdot3}\\\\\frac{28}{36}\ \ \ \frac{15}{36}\\\\Answer\ A.
5 0
3 years ago
Read 2 more answers
Find the value of x and y to the nearest tenth
Readme [11.4K]
The value of 'x' is 24.2 and the value of 'y' is 46.5.

To solve this, we do the following steps.
<u>Step 1:</u> Divide 'y' into 2 parts, 'a' and 'b'. 'a' would be the lower leg of the 45°-45°-90° triangle, while 'b' is the lower leg of the 30°-60°-90° triangle.<em>
</em><u>Step 2:</u> Given the hypotenuse (34) of the 30°-60°-90° triangle, solve for 'b' using the cosine of 30°.
    cos30° = b/34 [adjacent over hypotenuse]
    b = 34cos30° [cross-multiply]
    b = 29.4
<u>Step 3:</u> Solve for the 90° leg (the side opposite the 30° angle) using the Pythagorean Theorem. We will name this leg "h" (cuz height).
     l² + l² = hyp²
     29.4² + h² = 34²
     h² = 1156 - 864.36
     √h² = √291.64
     h = 17.1
<u>Step 4:</u> Solve for 'x' by using the 45°-45°-90° triangle ratio (1:1:√2). √2 would be the hypotenuse of the 45°-45°-90° triangle, while 1 would be both congruent legs.     
  Side 'h' is one of the legs; side 'a' is the other. Since these legs are congruent, 'a' also measures 17.1. Now all we need to do is solve for 'x', which is our hypotenuse. To do this, we simply multiply the measure of side 'h' or 'a' by √2.
     x = 17.1 × √2
     x = 24.2
<u>Step 5:</u> Now that we got the value of 'x', solve for 'y' by adding the measures of sides 'a' and 'b' together.<em>
</em><u />     y = a + b
     y = 17.1 + 29.4
     y = 46.5

And there you have it! <em>Hope this helps.</em>
     <em>
</em>
5 0
3 years ago
Of the 220 tickets available for a school play, 45% have been sold.
Pie

Answer:

A.

Step-by-step explanation:

Hope this helps and have a great day!!!!

6 0
3 years ago
Read 2 more answers
Find the value of x that will make L||M. <br> Please help me on this!!!! I need this done ASAP!!!!
Murljashka [212]

The two given angles are Supplementary angles and when added together need to equal 180 degrees.


2x +5 + x-5 = 180

Simplify ( Combine like terms):

3x = 180

Divide both sides by 3:

x = 180 / 3

x = 60

4 0
3 years ago
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