Answer:

Step-by-step explanation:
Radius(r) = 6 cm

Answer:
SUre, 2, 3 5
Step-by-step explanation:
Answer:
(32/5, -48/5)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
- Terms/Coefficients
- Coordinates (x, y)
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
-4x + 16 = y
2x - 32 = 2y
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 2x - 32 = 2(-4x + 16)
- Distribute 2: 2x - 32 = -8x + 32
- [Addition Property of Equality] Add 8x on both sides: 10x - 32 = 32
- [Addition Property of Equality] Add 32 on both sides: 10x = 64
- [Division Property of Equality] Divide 10 on both sides: x = 32/5
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define original equation: -4x + 16 = y
- Substitute in <em>x</em>: -4(32/5) + 16 = y
- Multiply: -128/5 + 16 = y
- Add: -48/5 = y
- Rewrite/Rearrange: y = -48/5
Answer:
z-statistic
Step-by-step explanation:
We have to identify the correct test statistic to use with the given conditions.
- If the sample size is larger than 30, then the sample is considered to be large.
- We are given a sample size of 51, which is a a large sample.
- Also, the population standard deviation is known.
- Thus, we use the z-statistic when testing a hypothesis about a single mean.
- Formula:

where
is the sample mean,
is the population mean,
is the population standard deviation and n is the sample size.
Answer:
The measure of first angle is 44°.
The measure of second angle is 22°.
The measure of third angle is 114°.
Step-by-step explanation:
First, you have to form expressions for the 3 angles. Let second angle be x :
First angle = (2x)°
Second angle = x°
Third angle = (92 + x)°
Next, you have to add up altogether as the total angles in a triangle is 180° :
2x + x + 92 + x = 180
4x + 92 = 180
4x = 180 - 92
4x = 88
x = 88 ÷ 4
x = 22°
Lastly, you have to substitute the x-value into the expressions :
First angle = 2(22) = 44°
Second angle = 22°
Third angle = 92 + 22 = 114°