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!
9514 1404 393
Answer:
(a) x^2/16 +y^2/9 = 1
Step-by-step explanation:
The form for the equation of an ellipse centered at the origin is ...
(x/(semi-x-axis))^2 +(y/(semi-y-axis))^2 = 1
The vertex values tell you the semi-x-axis is 4 units, and the semi-y-axis is 3 units. Then you have ...
(x/4)^2 +(y/3)^2 = 1
x^2/16 +y^2/9 = 1
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In case you don't remember that form, you can try any of the points in the equations. The equation that works will quickly become apparent.
Mental math and associative property of addition
i look at 173 and 427 and see that
73+27=100
i add now the 100(from 173)+400(from 427)+100(see above)=600
easy
600+301=901
Answer:
Fraction: 1/ 5 n= 7
Step-by-step explanation:
To find n first you cross multiply : 2/ 10 * n / 35
= So we multiply 10 and n ( answer = 10n)
= Then 2 and 35 ( multiply) ( answer = 70)
Now algebra
70 = 10n
Divide both sides by 10
10n / 10 = 70 / 10
n = 7
The fraction becomes 7 / 35
When this is simplified the answer is 1 / 5
To simplify you divide the numerator and denominator of the fraction by 25 ( GCF )
HOPE THIS HELPED
hello :
<span>–3(x + 3)² – 3 + 3x = -3( x² +6x+9) -3 +3x
=-3x² -18x -27 -3 +3x
= -3x² - 15x -30.. ( </span><span>standard form)</span>
