Can someone help me? Need to find the measure of p, IJ, KJ

Mathematics

1 answer:

lina2011 [118]2 years ago

5 0

Answer:

$IJ=KJ=15$

Step-by-step explanation:

$HIJ=HJK\\4p+3=3p+6\\p=3\\IJ=KJ=3*3+6=15$

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What is the approximate solution of the linear system represented by the graph below

VashaNatasha [74]

ANSWER

The approximate solution is

$(4, - 1)$

EXPLANATION

The point of intersection of the two lines is the solution of the linear systems represented by the graph.

From the graph we can determine that each box is 2 units.

From the graph, when we start at O and count two boxes to the right and half box down, we obtain the point of intersection of the two lines to be
$(4, - 1)$

Note that since each box is two units, half way between the boxes gives one unit.

5 0

2 years ago

A company manufactures skateboards. Each skateboard requires 1 6/7 hours of labor to assemble and 2 1/2 hours of labor to finish

Assoli18 [71]

Answer: The total cost will be $156.85.

Step-by-step explanation:

Since we have given that

Time taken by labor to assemble the each skateboard is given by

$1\frac{6}{7}\ hours\\\\=\frac{13}{7}\ hours$

Time taken by labor to finish and stain each skateboard is given by

$2\frac{1}{2}\ hours\\\\=\frac{5}{2}\ hours$

Cost of labour to the company per hour = $36.00

According to question,

We will use "Distributive Property":

$a\times (b+c)=a\times b+a\times c$

$36(\frac{13}{7}+\frac{5}{2})\\\\=36\times \frac{13}{7}+36\times \frac{5}{2}\\\\=\frac{468}{7}+18\times 5\\\\=\frac{468}{7}+90\\\\=\frac{468+630}{7}\\\\=\frac{1098}{7}\\\\=\$156.85$