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4 years ago

Could anyone help me out, it’s would mean a lot.

Mathematics

1 answer:

SIZIF [17.4K]4 years ago

6 0

Answer:

$x = 19$

Step-by-step explanation:

If two lines are perpendicular, they create 4 90° angles. Meaning, in this case, that m<DBC = 90 and m<DBA = 90.

We're given that m<DBE = 2x - 1 and that m<CBE = 5x - 42.

The sum of angles DBE and CBE = m<DBC = 90°

We can add the two angles and set it equal to 90 to find x

$2x - 1 + 5x - 42 = 90\\7x - 43 = 90\\7x = 133\\x = \frac{133}{7} =19$

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Rainbow [258]

Answer:

$\frac{5}{12}$

Step-by-step explanation:

$\frac{7}{12} - \frac{1}{6} \\ \\ = \frac{7}{12} - \frac{2}{12} \\ \\ = \frac{7 - 2}{12} \\ \\ = \frac{5}{12}$

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3 years ago

Read 2 more answers

The value of 1.7y+37 is 14 less than the value of 9.3y–25

Alinara [238K]

Answer: Yes, it is less than, as the value of the first equation is 14, while the second equation is 100.8

Step-by-step explanation:

1.7y + 37 = 14...........equation 1

9.3y - 25 = ?............equation 2

Find the value of y by subtracting 37 from both sides of equation 1

1.7y +37 -37 = 14 - 37

1.7y = -23

Divide both sides by 1.7

y = 13.53

Insert the value of y into equation 2

9.3 (13.53) - 25

125.83 -25

=100.8

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3 years ago

A store sells pencils in small and large boxes. A large box has ten times as many pencils as a small box. Mr. Adachi buys 5 smal

MArishka [77]

Answer:

$\boxed{5x+2y=250}$

Step-by-step explanation:

Let $x$ represent a small box of pencil and $y$ represent a large box of pencil.

We were told that "A large box has ten times as many pencils as a small box". This statement gave the equation;

$y=10x$

If Mr. Adachi buys 5 small boxes and 2 large boxes, for a total of 250 pencils, then the equation Mr. Adachi set up was;

$5x+2y=250$

where $a=5$ and $b=2$ has no common factor other than 1.

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