Answer:
The correct answer is x = 17.
Step-by-step explanation:
If EF bisects DEG, this means that angles DEF and angles FEG are congruent, and they each make up half of angle DEG.
Therefore, we can set up the equation:
DEF + FEG = DEG
However, since we know that DEF and FEG represent the same value, we can change this equation into the following:
2(DEF) = DEG
Now, we can substitute in the expressions that we are given:
2(3x+1) = 5x + 19
To simplify, we should first use the distributive property on the left side of the equation.
6x + 2 = 5x + 19
Our next step is to subtract 5x from both sides of the equation.
x + 2 = 19
Finally, we can subtract 2 from both sides of the equation to get x by itself on the left side.
x = 17
Therefore, the value of x is 17.
Hope this helps!
Answer:
y = -1/3x + 4
Step-by-step explanation:
y = 3x +5
current slope m is 3, perpendicular is opposite inverse which is -1/3
Passing through (6,2):
y = mx + b
2 = -1/3(6) + b
2 = -2 + b
b = 4
Use the perpendicular m = -1/3 and b = 4 to form equation of line:
y = mx + b
y = -1/3x + 4
Answer:
D. $66.23
Step-by-step explanation:
The sale discounts your purchase by half the price of a pair of pants, so you pay for 2.5 pairs of pants. The sale price of the pants is then ...
$24.99 × 2.5 = $62.48
The added tax multiplies this value by 1.06, so you pay ...
1.06 × $62.48 = $66.23
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<em>Comment on the answer</em>
Whether you pay $66.23 or $66.22 depends on how the discount is calculated. If you get the benefit of the half-penny (the discount is rounded up), then the sale price is $62.47 and the total is $66.22.
Multiply 88 by 7, then multiply 88 by 3 and move the decimal point one to the left. Then add those two numbers. That's your answer.
