Step-by-step explanation:
Triangle XYZ is isosceles.
Since Angle Y = 90°, Angle Z = (180° - 90°)/2 = 45°.
Answer:
Step-by-step explanation:
a.
y=0.75x
y-y1=(y2-y1)/(x2-x1)×(x-x1)
y-3=(6-3)/(8-4) (x-4)
y-3=3/4(x-4)
y-3=3/4 x-3
y=3/4 x-3+3
y=3/4 x
if y=f(x)
f(x)=0.75x
c.
f(12)=0.75×12=9$
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete as the number line is not attached.
<em>However, the following will guide you through</em>
Given

Required
Determine BC
First, we need to get the fraction of BC using the following

Substitute
for AB

Make BC the subject of formula

Take LCM



This implies that you multiply the length of AC by 2/3 to get BC
<em>Take for instance, AC = 24</em>
<em>BC will be:</em>
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<em>Or if AC = 12</em>
<em>BC will be:</em>
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<em>Or if AC = 36</em>
<em>BC will be:</em>
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Answer:
The cost of one shirt is $16 and the cost of one sweater is $20.
Step-by-step explanation:
Let the cost of one shirt be x and the cost of one shirt be y.
7x + 4y = 192 -----Equation 1
8x + 7y = 268 -----Equation 2
Equations 2-1:
8x + <em>7y</em> - 7x <em>- 4y</em> = 268 - 192
x + 3y = 76
x = 76-3y -----Equation 3
Subsitute x = 76-3y into Equation 1:
7x + 4y = 192
7(76-3y) + 4y = 192
532 - 21y + 4y = 192
532 - 17y = 192
-17y = 192-532
-17y = -340
17y = 340
y = 340 ÷ 17
y = 20 (The cost of one sweater is $20)
Substitute y = 20 into Equation 3:
x = 76-3y
x = 76 -3(20)
x = 76 - 60
x = 16 (The cost of one shirt is $16)