△MLNtriangle, M, L, N is congruent to △
Y
Z
X
△YZXtriangle, Y, Z, X.

2
2
∘
22
∘

11
6
∘
116
∘

4
2
∘
42
∘

4
4
2
2
5
5
X
X
Y
Y
Z
Z
N
N
M
M
L
L
What is the length of
M
N
MNM, N?
M
N
‾
=
MN
=start overline, M, N, end overline, equals

units
What is the measure of
∠
M
L
N
∠MLNangle, M, L, N?
m
∠
M
L
N
=
m∠MLN=m, angle, M, L, N, equals

°
°

answer: solve 5\cdot 2^x=2405⋅2  

x

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}  

5⋅2  

x

2  

x

​    

=240

=48

​

step-by-step explanation:

"standard form:

3x2 + 14x − 10 = 0

solutions based on quadratic formula:

x1   = −14 − √ 142 − 4×3×(−10) /   2×3   = −14 − 2 × √ 79 /   6   ≈ −5.296

x2   = −14 + √ 142 − 4×3×(−10) /   2×3   = −14 + 2 × √ 79 /   6   ≈ 0.629

-1/4 > -1 2/3. -1/4 is greater than -1 2/3 because it is closer to 0 on the number line.