Answer:

Step-by-step explanation:
We can use the point-slope form given by:

Where <em>m</em> is the slope and (x₁, y₁) is a point.
So, we will substitute -2 for <em>m</em> and (5, 2) for (x₁, y₁). This gives us:

Simplify:

Distribute:

Add 2 to both sides. Hence, our equation is:

Answer:
The top option is false.
Step-by-step explanation:
Both segments have a <em>rate</em><em> </em><em>of</em><em> </em><em>change</em><em> </em>[<em>slope</em>] of ⅔. It just that their ratios have unique qualities:

Greatest Common Factor: 2
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<em>BC</em><em> </em>is at a 4⁄6 slope, and <em>AB</em><em> </em>is at a ⅔ slope. Although their quantities are unique, they have the exact same value.
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Answer:
the answer is 12
Step-by-step explanation:
Simplify both sides of the equation.
12(b−10)+2b=25
(12)(b)+(12)(−10)+2b=25(Distribute)
12b+−5+2b=25
(12b+2b)+(−5)=25 (Combine Like Terms)
52b+−5=25
52b−5=25
add 5 to both sides.
52b−5+5=25+5
52b=30
multiply both sides by 2/5.
(25)*(52b)=(25)*(30)
b=12
Answer:
52.5
Step-by-step explanation:
Since ED ≈ AD, ∆AED is a isosceles triangle where <EAD and <AED has same angle measurement
Now, m<B = 105°, since ABCD is a parallelogram, <B = <D
so, m<ADC = 105° so, m<ADE = 180°-105° = 75°
Now, m<EAD+m<AED+m<ADE = 180°
or, m<AED+m<AED+m<ADE = 180°
or, x+x+75°=180°
or, 2x=180+75°
or, 2x=105°
or, x=52.5°