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elena-14-01-66 [18.8K]
2 years ago
5

Can someone plz help me with numbers 8,10,12. Need for today

Mathematics
1 answer:
bearhunter [10]2 years ago
6 0
 #8:   14.95+7.55=22.50 so the cost of the DVD is $22.50 and the subtraction equation is, 22.50-7.55=14.95

#10: 2/3+1/3=1 so m=1

#12: 7/9+1/3=10/9 or 1  1/9 
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Determine the function's value when x = -1.
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Assume Triangle EFG equals triangle JKL
klasskru [66]
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Since ΔEFG is congruent to ΔJKL, their corresponding angles are congruent (CPCTC). The congruence statement tells you which angles of the triangle correspond; ∠E corresponds to ∠J, ∠F corresponds to ∠K, and ∠G corresponds to ∠L. The measures of all the angles of ΔJKL are given, so you just have to name the angle of ΔJKL that corresponds to ∠E of ΔEFG.

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3 years ago
An isosceles triangle has area of 105 ft2. If the base is 12 ft, what is the length of each leg? Round your answer to the neares
e-lub [12.9K]
Answer: Option D) 18.5 ft

Solution:
Area of the isosceles triangle: A=105 ft^2
Base of the isosceles triangle: B=12 ft
Length of each leg of the isosceles triangle: L=?

A=BH/2
Height of the isosceles triangle (perpendicular to the base): H=?

Replacing the known values in the formula of Area:
105 ft^2=(12 ft)H/2
105 ft^2=(6 ft)H

Solving for H: Dividing both sides by 6 ft:
(105 ft^2)/(6 ft)=(6 ft)H/(6 ft)
17.5 ft=H
H=17.5 ft

Using the Pytagoras Theorem:
c^2=a^2+b^2
with:
c=L=?
a=B/2=(12 ft)/2→a=6 ft
b=H→b=17.5 ft

L^2=(6 ft)^2+(17.5)^2
L^2=36 ft^2+306.25 ft^2
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sqrt(L^2)=sqrt(342.25 ft^2)
L=18.5 ft

Answer: The length of each leg is 18.5 ft
3 0
2 years ago
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