Answers:
x = 5
m∠C = m∠H = 38 degrees
WORKINGS
Given that ABCD ≅ FGHJ
We know that corresponding angles of two congruent
quadrilaterals are equal
Therefore,
m∠A = m∠F
m∠B = m∠G
m∠C = m∠H
m∠D = m∠I
Given,
m∠C = 9x – 7
m∠H = 5x + 13
Since m∠C = m∠H
9x – 7 = 5x + 13
Add 7 to both sides of the equation
9x – 7 + 7 = 5x + 13 + 7
9x = 5x + 20
Subtract 5x from both sides of the equation
9x – 5x = 5x – 5x + 20
4x = 20
Divide both sides of the equation by 4
4x/4 = 20/4
x = 5
To determine the measures of angle C and angle H
m∠C = m∠H
We know that m∠C = 9x – 7
Since x = 5
m∠C = 9(5) – 7
m∠C = 45 – 7
m∠C = 38
Therefore, m∠C = m∠H = 38 degrees
Given:
<span>11 11.5 10.5 17 14.5 14.5 18 17 19
Arrange in chronological order from least to greatest.
10.5 ; 11 ; 11.5 ; 14.5 ; 14.5 ; 17 ; 17 ; 18 ; 19
</span><span>I used an online lower and upper fence calculator to get the necessary data.
Minimum: 10.5
Maximum: 19
Q1: 11.25
Q2 or median: 14.5
Q3: 17.5
Interquartile range can be solved by subtracting the value of Q1 from the value of Q3
IQR = Q3 - Q1
IQR = 17.5 - 11.25
IQR = 6.25 CHOICE A. </span>
Square root 3/2
Decimal form: 086602540
Well the answer I got was closest to 71.
3.14 x radius squared = area
If you divide 4040 by 3.14 you get radius squared which is 1286.6242
If you square root it you get the radius which is 35.869544
If you multiply the radius by 2 you get diameter which is about 71.739088
Answer:
Area = 28 cm² (check the attached diagram for better clarity)
Step-by-step explanation:
The question is incomplete but let's see a similar example
The front of a rectangular pyramid can refer to either one of two possibilities: it could be either the side that has the breadth and the height or the side that has the length and the height. In this case, we were given the formula for calculating the area of the front face of this rectangular prism as the product of breadth and height
Mathematically,
A = bh
From the attached diagram, we will see the properties of the rectangular prism as:
length = 5 cm, breadth = 4 cm, height = 7 cm
To calculate for the front face, we use A = bh,
⇒ A = 4 * 7 = 28 cm²
Example 2
If the breadth of the rectangular prism is 2 cm and the height is 3 cm, we have:
A = 2 * 3 = 6 cm²
