Answer:
x = 19
Step-by-step explanation:
To find the value of x, you set the equations as equal to each other:
Then you simplify:
Answer:
x=8
Step-by-step explanation:
The angles are vertical angles so they are equal
8x+36 = 5x+60
Subtract 5x from each side
8x+36-5x = 5x+60-5x
3x+36 = 60
Subtract 36 from each side
3x+36-36 = 60-36
3x =24
Divide each side by 3
3x/3 = 24/3
x=8
Answer:2.1
Step-by-step explanation:
\text{Draw a diagram:}
Draw a diagram:
D
E
F
e = 2.7
f = ?
49°
58°
\text{A.S.A.}\rightarrow \text{Law of Sines}
A.S.A.→Law of Sines
\frac{a}{\sin A}=\frac{b}{\sin B}
sinA
a
=
sinB
b
\text{Find other angle:}
Find other angle:
\angle E=180-49-58=73^{\circ}
∠E=180−49−58=73
∘
D
E
F
e = 2.7
f = ?
49°
58°
73°
\frac{f}{\sin 49}=\frac{2.7}{\sin 73}
sin49
f
=
sin73
2.7
f=\frac{2.7\sin 49}{\sin 73} \approx 2.131 \approx 2.1
f=
sin73
2.7sin49
≈2.131≈2.1
Answer: I.Q. of 130 will have a z score (or standard score) of 2.
Step-by-step explanation:
Let X be a random variable that represents the I.Q. score.
Formula for Z-score : 
As per given, mean I.Q. = 100 and the standard deviation =15
For X = 130,
So, I.Q. of 130 will have a z score (or standard score) of 2.
Answer:
x = -7 or y = 1
Step-by-step explanation:
Since we are not given the actual formula for the parabola, we do not know in which direction the parabola is facing. The axis of symmetry is the value of the line that splits the parabola perfectly down the middle, to calculate this we need to know in which direction the parabola is facing. Since we do not have this information and only have the maximum vertex we can provide the two possible values for the Axis of Symmetry, which would be the following...
x = -7 or y = 1
