Answer:
127
Step-by-step explanation:
m<PQR and m<RQS are supplementary angles so their sum is 180
3x - 5 + x + 1 = 180 add like terms
4x - 4 = 180 subtract 4 from both sides
4x = 176 divide both sides by 4
x = 44
m<PQR is 3x - 5 replace x with 44
3*44 - 5 = 127
Answer:
To the nearest cm
Width of the rectangle = 224cm
Step-by-step explanation:
Imagine a rectangle shape,
both opposite sides are equal, ie both lengths are equal and also applicable to the widths
Length is 2m
It's diagonal is 3m
The diagonal is a line that crosses from one length of a side to the other slantly, ie from one edge to the other, dividing the rectangle into two right angled triangles
The longest line will be the diagonal which is 3m
And the base length will be the length which is 2m
The width is what we are looking for which is represented with x
To solve this problem, we use Pythagoras' rule
x^2 = a^2 + b^2
Let x be diagonal side
a be length
b be the unknown width
Inserting into the formula
x^2 = a^2 + b^2
3^2 = 2^2 + b^2
9 = 4 + b^2
9 - 4 = b^2
5 = b^2
Square root of 5
b = 2.24m
The width = 2.24m
According to the question, we are asked to give the answer in nearest cm
Since 1cm = 0.01m
x cm = 2.24m
Then we cross multiply
1cm * 2.24m = xcm * 0.01m
x = 2.24 / 0.01
x = 224cm
Answer:
4x=80 and 5x=100
Step-by-step explanation:
4x+5x=180
9x=180
1/9 (9x)=1/9 (180)
x=20
4(20)=80
5(20)=100
Answer:
25% of 30% of 400 = 30
33% decrease in value
Step-by-step explanation:
You can either get 30% of 400 first then 25% of 400 or you can get the total percentage of 400.
Method 1:
30% of 400 = 0.3 of 400 = 0.3 * 400 = 120
25% of 120 = .25 of 120 = .25 * 120 = 30
Method 2:
30% of 25% = 0.3 * 0.25 = 0.075 = 7.5% of 400
7.5% of 400 = 0.075 of 400 = 0.075 * 400 = 30
5.) To find the percentage of the new price, you can build the equation below.
The percentage decrease in price is then 100% of the original price - 66.667% of the original price = 100% - 66.67% = 33.33% = 33% decrease.
