1) 3x=(4x+50-30)/2
x=10
Explanation: (1/2)(big arc - small arc), plug in the numbers and solve
2) 15•x=33•10
x=22
Explanation: a•b=c•d, plug in the numbers and solve
3) (x+8)•8=(24+4)•4
x=6
Explanation: W•E=W•E, whole•external part= whole•external, plug in the numbers and solve
Answer: Area of ΔABC is 2.25x the area of ΔDEF.
Step-by-step explanation: Because equilateral triangle has 3 equal sides, area is calculated as
with a as side of the triangle.
Triangle ABC is 20% bigger than the original, which means its side (a₁) measures, compared to the original:
a₁ = 1.2a
Then, its area is
Triangle DEF is 20% smaller than the original, which means its side is:
a₂ = 0.8a
So, area is
Now, comparing areas:
2.25
<u>The area of ΔABC is </u><u>2.25x</u><u> greater than the area of ΔDEF.</u>
The cost of 3 and 1/2 pounds of almond at the same rate is $26.60.
<h3>What is a fraction?</h3>
A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In the illustration given as m/n, it should be noted that m is the numerator and n is the denominator.
Since the price for 7/8 of a pound of almonds is $6.65, the fraction per pound will be done by dividing the amount for a pound by 7/8.
= $6.65 ÷ 7/8
= $7.6
The cost of 3 and 1/2 pounds at the same rate is:
= 3 1/2 × $7.6
= $26.60
In conclusion, the cost is $26.60.
Learn more about fractions on:
brainly.com/question/78672
#SPJ1
