Answer:
slope = 5/7
Step-by-step explanation:
Given the x-intercept: (-7, 0) and the y-intecept: (0, 5):
We can use the slope formula:
Let (x1, y1) = (-7, 0)
(x2, y2) = (0, 5)
Plug these values into the slope formula:
Therefore, the slope is 5/7
Solve this inequality showing all work:-2× +4<16
1 answer:
You might be interested in
CE ⊥ CF because m∠ECA + m∠FCA = 90°
Step-by-step explanation:
In ∆ABC
- On the extension of the side BC , draw a line segment CD ≅ CA
- Draw the segment AD
- The line segment CE is the angle bisector of ∠ACB
- The line segment CF is the median towards AD in ∆ ACD
We want to prove that CF ⊥ CE
Look to the attached figure
In Δ ABC
∵ CE is the bisector of angle ACB
∴ ∠ACE ≅ ∠BCE
In Δ ACD
∵ CA = CD
∴ Δ ACD is an isosceles triangle
∵ AD is the median towards AD
- In any isosceles triangle the median from a vertex to its opposite
side bisects this vertex
∴ AD bisects ∠ACD
∴ ∠ACF ≅ ∠DCF
∵ BCD is a straight segment
∵ CE , CA , CF are drawn from point C
∴ m∠BCE + m∠ACE + m∠ACF + m∠DCF = 180°
∵ m∠ACE ≅ m∠BCE
∵ m∠ACF ≅ m∠DCF
- Replace m∠BCE by m∠ACE and m∠DCF by m∠ACF
∴ m∠ACE + m∠ACE + m∠ACF + m∠ACF = 180°
∴ 2 m∠ACE + 2 m∠ACF = 180°
- Divide all terms by 2
∴ m∠ACE + m∠ACF = 90°
∴ EC ⊥ CF
CE ⊥ CF because m∠ECA + m∠FCA = 90°
Learn more:
You can learn more about perpendicular lines in brainly.com/question/11223427
#LearnwithBrainly
Answer:
About 32% of her pay was deducted ⇒ 2nd answer
Step-by-step explanation:
Lisa’s gross pay was $1204.89
Her net pay was $818.44
We need to find the percentage of the amount deducted from her pay
<u><em>Lets calculate the deduction amount</em></u>
The deduction amount is the difference between the gross pay and
the net pay
∵ The amount deducted = gross pay - net pay
∵ Gross pay = $1204.89
∵ Net pay = $818.44
∴ The amount deducted = 1204.89 - 818.44 = $386.45
<u><em>Now lets find the percentage of the amount deducted </em></u>
∵ Percent of deducted = [amount deducted/gross pay] × 100%
∵ The amount deducted = $386.45
∵ Gross pay = 1204.89
∴ Percent of deducted = × 100%
∴ Percent of deducted = 32.07%
<em>About 32% of her pay was deducted</em>