An estimate is that he needs to mow 22 lawns to save enought money.
Let the actual heights of Lisa, Ian and Jim be L, I and J.
i) "Lisa is 4 centimeters taller than her friend Ian." means: L=4+I
ii) "Ian is 8 centimeters taller than Jim." means: I=8+J, thus J=I-8
so the heights of Lisa, Ian and Jim are 4+I, I and I-8, respectively.
Since their heights increase by 2 cm, in 4 months, their heights increase 2 cm*4 = 8 cm.
Thus, after 4 months the heights of Lisa, Ian and Jim become:
4+I +8, I+8 and I-8+8 that is I + 12, I+8, I.
In 4 months, "the sum of Ian's and Jim's heights will be 140 centimeters more than Lisa's height. " mean:
(I+8)+I=140+(I+12)
2I+8=152+I
I=152-8=144
This solution made use of writing all the ages in terms of Ians current age.
These Cant make any triangles
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
Hello there!
<u>Algebra 1</u>
The first thing we should find is the missing angle
Because this is a right triangle we can solve it using the Pythagorean Theorem
The Pythagorean theorem states that the sum of the two legs squared equal the hypotenuse squared
the formula... where a and b = legs and c = hypotenuse
we are given two legs so we plug in a and b and solve for c
so we can conclude that the missing side length ( or z) equals 25
now to solve for the angles
<u>Trigonometry</u>
We can solve for y using sin
sin = opposite side divided by the hypotenuse
the opposite of y is 7 and the hypotenuse is 25
so we set up an equation
now we solve for y
then we round to the nearest hundredth
so we can conclude that angle labeled y = 16.26
<u>basic geometry</u>
Remember all of the angles in a triangle add up to equal 180 so we can find x by subtract the known angles from 180
180 - 90 - 16.26 = 73.74 so we can conclude that x = 73.74