Answer:
X=3, y=-6
Step-by-step explanation:
7x+4y=-3 equation 1
-7x-5y=9 equation 2
-y=6. Add above two equations
Y=-6
solve for x by inputting y value into either equation.
7x+4(-6)=-3
7x-24=-3
7x=21
x=3
check answer by inputting x and y values into either equation
-7x-5y=9
-7(3)-5(-6)=9
–21+30=9
9=9
Answer: 11
Step-by-step explanation: plug in 4 for x
3(4) - 1 = 12 - 1 = 11
Step-by-step explanation:
Given that,
We have to find the value of m∠E.
Here, two sides are equal, thus it is an isosceles triangle. As the two sides are equal, so their angles must be equal. So, ∠E and ∠D will be equal. Let us assume the measures of both ∠E and ∠D as x.
→ Sum of all the interior angles of ∆ = 180°
→ ∠E + ∠D + ∠F = 180°
→ 116° + x + x = 180°
→ 2x = 180° – 116°
→ 2x = 64°
→ x = 64° ÷ 2
→<u> x = 32°</u>
Henceforth,
→ m∠E = x
→ m∠E = 32°

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Answer:
The LCM of 3 and 7 is 21.
Step-by-step explanation: