Answer:
Lines a and b are considered parallel due to their corresponding angles being equal.
Step-by-step explanation:
The corresponding angle postulate states that two lines are parallel when a transversal intersects them and their corresponding angles are congruent.
In this case, line a and line b are intersected by transversal e, with both corresponding angles measuring 110 (which are congruent), hence, according to the corresponding angle postulate, we can conclude that line a and line b are indeed parallel to each other.
Answer:
The Framers provides the more affordable price, being $1.35 less expensive.
Step-by-step explanation:
I've Been Framed:
50% of $115 amounts to $57.5.
10% of $57.5 equals $5.75.
Subtracting gives $57.5 - $5.75 = $51.75.
Total: $51.75
The Framers:
30% off $120 results in $36.
After discount, $120 - $36 equals $84.
40% off $84 is $33.6.
Subtracting gives $84 - $33.6 = $50.4.
Price difference: $1.35
This situation exemplifies the distributive property, where the number outside the parentheses impacts all the terms within through multiplication. Therefore, the resulting action here is:
<span>The 4 should be multiplied by each term found inside the parentheses.
</span>
Answer:
1443.36
Step-by-step explanation:
6014 multiplied by.24 equals 1443.36
I hope this is helpful
Answer:
qt's length = 16
Step-by-step explanation:
The problem states that qrs is a right triangle,
where qr = 20
sr =?
qs = 25
qt =?
1)
Calculate sr
hypotenuse² = base² + height²
sq² = sr² + rq²
25² - 20² = sr²
sr = √(25² - 20²)
sr = 15
2)
When altitude rt is dropped to hypotenuse qs, it creates
two right triangles: rtq and rts.
Δrtq
height = rt
base= tq = 25 - x
hypotenuse = qt = 20
Δrts
height = rt
base= ts = x
hypotenuse = sr = 15
Both triangles share the same height, which is rt
Using the Pythagorean theorem:
Δ rtq Δ rts
hypotenuse² - base² = height²
20² - (25 - x)² = 15² - x²
400 - (625 + x² - 50x) = 225 - x²
400 - 625 - x² + 50x = 225 - x²
-225 - x² + 50x - 225 + x² = 0
-450 + 50 x = 0
50x = 450
x = 450/50
x = 9
Base of Δ rtq = tq = 25 - x
tq = 25 - 9
tq = 16
