Translate the word phrase into a math expression. PLEASE HELP!

Complete the statement. Trapezoids are parallelograms

Lady bird [3.3K]

Answer:

Step-by-step explanation:

(A) The given statement is:A square is a parallelogram-------A square is always a parallelogram (By properties of parallelogram)(B) The given statement is:A rectangle is a trapezoid----------A rectangle is never a trapezoid.(C) The given statement is:A rhombus is a square--------A rhombus is sometimes a square.(D) The given statement is:A quadrilateral is a kite--------A quadrilateral is sometimes a kite.

4 0

2 years ago

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I don’t know how to find angle A

Cerrena [4.2K]

Angle a = 60

given that all angles of a triangle added together must equal 180
x = -20
-20+80=60
do it again for the other angle measurement
60+60+40=180

therefore, angle A is 60°

5 0

2 years ago

a. Fill in the midpoint of each class in the column provided. b. Enter the midpoints in L1 and the frequencies in L2, and use 1-

Tresset [83]

Answer:

$\begin{array}{ccc}{Midpoint} & {Class} & {Frequency} & {64} & {63-65} & {1} & {67} & {66-68} & {11} & {70} & {69-71} & {8} &{73} & {72-74} & {7} & {76} & {75-77} & {3} & {79} & {78-80} & {1}\ \end{array}$

Using the frequency distribution, I found the mean height to be 70.2903 with a standard deviation of 3.5795

Step-by-step explanation:

Given

See attachment for class

Solving (a): Fill the midpoint of each class.

Midpoint (M) is calculated as:

$M = \frac{1}{2}(Lower + Upper)$

Where

$Lower \to$ Lower class interval

$Upper \to$ Upper class interval

So, we have:

Class 63-65:

$M = \frac{1}{2}(63 + 65) = 64$

Class 66 - 68:

$M = \frac{1}{2}(66 + 68) = 67$

When the computation is completed, the frequency distribution will be:

$\begin{array}{ccc}{Midpoint} & {Class} & {Frequency} & {64} & {63-65} & {1} & {67} & {66-68} & {11} & {70} & {69-71} & {8} &{73} & {72-74} & {7} & {76} & {75-77} & {3} & {79} & {78-80} & {1}\ \end{array}$

Solving (b): Mean and standard deviation using 1-VarStats

Using 1-VarStats, the solution is:

$\bar x = 70.2903$