we have <D = (7x-1)° , <A =(5x+25)°
{ all angles of square is equal to 90° }
<A + <D = 180°
5x + 25 + 7x - 1 = 180°
12 x = 180 - 24
12x = 156
x = 13
<A = (5*13 +25) = 90
< D = ( 7*13-1) = 90
so ABCD is a square
Answer is in the attachment below.
Answer:
160 m²
Step-by-step explanation:
The surface area of the prism is the sum of the area of its surfaces. This prism has 5 surfaces, namely the front, back, right, left and bottom surface.
<u>Area of front surface</u>
Area of triangle= ½ ×base ×height
Base= 6 m
Height= 4 m
Area= 6(4)= 24 m²
<u>Area of back </u><u>surface</u>
Area of back surface
= area of front surface
= 24 m²
<u>Area of right </u><u>surface</u>
Area of rectangle= length ×breadth
Length= 7 m
Breadth= 5 m
Area= 7(5)= 35 m²
<u>Area of left </u><u>surface</u>
Area of left surface
= area of right surface
= 35 m²
<u>Area of bottom </u><u>surface</u> (base of prism)
Area of rectangle= length ×breadth
Length= 7 m
Breadth= 6 m
Area= 6(7)= 42 m²
The total surface area can be found by adding all of the surface areas we have found earlier.
Total surface area
= 24 +24 +35 +35 +42
= 160 m²
Answer:
The largest three-digit number divisible by 24 and 54 is:
Step-by-step explanation:
To identify the largest number what I did was dividing 999 (the largest whole three-digit number of all) in the first number given (24):
With this number, you know that you must multiply 24 by a number like 41 or less until you find a number that can be divisible by 54 and obtain a whole number, so:
- 24*41= 984/54= 18.22 (how the number obtained is not a whole number, this is not the correct).
- 24*40= 960/54= 17.77 (this is not).
- 24*39= 936/54= 17.33 (this is not).
- 24*38= 912/54= 16.88 (this is not).
- 24*37=888/54= 16.44 (this is not).
- <u>24*36= 864/54= 16 (This is the correct</u>).
Now, you have identified that the number 864, you can prove it by dividing this in 24 and 54:
Answer:
A. the reduction of variance
Step-by-step explanation:
If the p bakue gets smaller, the smaller the p- value the stronger the evidence that we can or we should totally reject and not accept the null hypothesis.
Id the p value is lower, the result is trumpeted as significant, but if higher,it is not significant.
So Smaller p-values indicate more evidence in support of the the reduction of variance
