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cupoosta [38]
3 years ago
14

I don’t understand this problem and need help!

Mathematics
1 answer:
butalik [34]3 years ago
7 0

Answer:

see explanation

Step-by-step explanation:

Since AB and BC are perpendicular, then

∠ABC = 90° and

∠ABD + ∠DBC = ∠ABC ← substitute values

3r + 5 + 5r - 27 = 90, that is

8r - 22 = 90 ( add 22 to both sides )

8r = 112 ( divide both sides by 8 )

r = 14

Hence

∠ABD = 3r + 5 = (3 × 14) + 5 = 42 + 5 = 47°

∠DBC = 5r - 27 = (5 × 14) - 27 = 70 - 27 = 43°

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Parallel lines r and s are cut by two transversals, parallel lines t and u.
Fiesta28 [93]

Answer:

5 and 13

Step-by-step explanation:

4 0
3 years ago
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Given: - 4x/7 > 10. Choose the solution set. {x | x < - } {x | x > - } {x | x > - } {x | x < - }
AleksAgata [21]

Answer:

{x | x < - 35 / 2}

Step-by-step explanation:

-4x / 7 > 10

Multiply both sides by 7

-4x /7 * 7 > 10 * 7

-4x > 70

Divide both sides by - 4

-4x / - 4 > 70 / - 4

x < - 35 / 2 (inequality sign changes)

3 0
2 years ago
What is the relationship among direct variation,lines,rates of change, and slope?
JulsSmile [24]
A direct variation is a proportional equation. Such as:

For every 3 cookies, linda gets 1 glass of milk. The equation for this is y=3x where y is the glasses and x is the cookies. this is a direct variation. It also has a linear line. Linear means straight. Rate of change and slope are the exact same thing. They are the value of 'm' in y=mx+b
5 0
3 years ago
Last two!!(ty for all the help) :
malfutka [58]
With the b2+b- 12 your gonna want to do this
b2+b-12
b2+4b-3b-12
which is the sum product
after doing that you wanna common the factors from the two pairs. Which is b2+4b-3b-12 then you do you parentheses around b(b+4)-3(b+4) just like that after you do that then you rewrite it in factored form b(b+4)-3(b+4) you then want to rewrite it to this (b-3)(b+4) after that your solution will be (b-3)(b+4) for the first one.
7 0
2 years ago
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The ratio of boys to girls in math classes is 3.5. If there are 130 girls in these classes, how many boys must there be?
dsp73

Answer:

<h3><u>Required Answer</u><u>:</u><u>-</u></h3>

The ratio of boys and girls =3:5

Let

Number of boys=3x

Number of girls =5x

  • According to the question Numbers of girls=130

{:}\longrightarrow\sf 5x=130

  • Now interchange both sides and get x

{:}\longrightarrow\sf x={\dfrac {130}{5}}

{:}\longrightarrow\sf x=26

<h3>Now </h3>

The number of boys=3x

=3×26=78

\thereforeNumber of boys is 78.

4 0
2 years ago
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