<span>96 degrees
Looking at the diagram, you have a regular pentagon on top and a regular hexagon on the bottom. Towards the right of those figures, a side is extended to create an irregularly shaped quadrilateral. And you want to fine the value of the congruent angle to the furthermost interior angle. So let's start.
Each interior angle of the pentagon has a value of 108. The supplementary angle will be 180 - 108 = 72. So one of the interior angles of the quadrilateral will be 72.
From the hexagon, each interior angle is 120 degrees. So the supplementary angle will be 180-120 = 60 degrees. That's another interior angle of the quadrilateral.
The 3rd interior angle of the quadrilateral will be 360-108-120 = 132 degrees. So we now have 3 of the interior angles which are 72, 60, and 132. Since all the interior angles will add up to 360, the 4th angle will be 360 - 72 - 60 - 132 = 96 degrees.
And since x is the opposite (or congruent) angle to this 4th interior angle, it too has the value of 96 degrees.</span>
Answer:
(1, 3)
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>Algebra I</u>
- Coordinates (x, y)
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
y = 3
y = -3x + 6
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute in <em>y</em>: 3 = -3x + 6
- [Subtraction Property of Equality] Subtract 6 on both sides: -3 = -3x
- [Division Property of Equality] Divide -3 on both sides: 1 = x
- Rewrite/Rearrange: x = 1
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define original equation: y = -3(1) + 6
- Multiply: y = -3 + 6
- Add: y = 3
Answer:
36 for area, 66 for surface area.
Step-by-step explanation:
I am not sure what it is asking, but if this is what you were asking for here it is. Surface area is harder to explain, but volume is multiply all dimensions.
Hope this is what it was asking!
The measurement unit used for the water in the swimming pool is 2.3×10⁴ gallons.
<h3>What is the Unit conversion?</h3>
Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimeter is equal to 10 mm,
Though the real measurement is still the same the units and numerical values have been changed.
As it is given, the pool's volume or the amount of water in the pool is equal to 2.3×10⁴ units.
We know that an average swimming pool has a volume of water that is in gallons, therefore, the unit of water that will be filled in the swimming pool will be equal to 2.3×10⁴ gallons.
Hence, the measurement unit used for the water in the swimming pool is 2.3×10⁴ gallons.
Learn more about Units conversion:
brainly.com/question/4736731
The constant of proportionality based on the situation is 0.4
Step-by-step explanation:
Tanner cycled 8 miles in 20 minutes
We need to find the constant of proportionality based on the situation
1. The distance is proportion to the time, because the distance and
the time increased together
2. If the distance d and the time is t, then d ∝ t
3. The equation of the direct proportion is d = k t, where k is the
constant of proportionality
∵ d = k t
∵ d = 8 miles
∵ t = 20 minutes
- Substitute these values in the equation above
∴ 8 = k (20)
- Divide both sides by 20
∴ k = 0.4
The constant of proportionality based on the situation is 0.4
Learn more:
You can learn more about proportionality in brainly.com/question/10708697
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