Answer:
m<N = 76°
Step-by-step explanation:
Given:
∆JKL and ∆MNL are isosceles ∆ (isosceles ∆ has 2 equal sides).
m<J = 64° (given)
Required:
m<N
SOLUTION:
m<K = m<J (base angles of an isosceles ∆ are equal)
m<K = 64° (Substitution)
m<K + m<J + m<JLK = 180° (sum of ∆)
64° + 64° + m<JLK = 180° (substitution)
128° + m<JLK = 180°
subtract 128 from each side
m<JLK = 180° - 128°
m<JLK = 52°
In isosceles ∆MNL, m<MLN and <M are base angles of the ∆. Therefore, they are of equal measure.
Thus:
m<MLN = m<JKL (vertical angles are congruent)
m<MLN = 52°
m<M = m<MLN (base angles of isosceles ∆MNL)
m<M = 52° (substitution)
m<N + m<M° + m<MLN = 180° (Sum of ∆)
m<N + 52° + 52° = 180° (Substitution)
m<N + 104° = 180°
subtract 104 from each side
m<N = 180° - 104°
m<N = 76°
<span>x=6</span>, <span>x=−5</span> or <span>x=9</span>
Explanation:
<span><span>f<span>(x)</span></span>=<span>(x−6)</span><span>(x+5)</span><span>(x−9)</span></span>
If all of the linear factors are non-zero, then so is their product <span>f<span>(x)</span></span>.
If any of the linear factors is zero, then so is their product <span>f<span>(x)</span></span>.
Answer:
1/6
Step-by-step explanation:
there are 6 dresses altogether and 1 blue dress.
Answer:
The 2nd one.
Step-by-step explanation:
185 degrees is farther than a straight line, and the 2nd one is the only one like that.
Answer is A) AC= 20 and angle A=37°
Dilated by factor of 4 means enlarged by 4 ( multiply by 4)
The angle stays the same no matter how much you increase or decrease the size
And AC= 5 x4= 20