Solve the system of equations.

What is HL??? HL=__ Image Below

Advocard [28]

Consider a trapezoid GJKF with:

GH=JH (hypothesis)

FL=KL (hypothesis)

so HL is the median of trapezoid GJKF

so: HL=1/2(2.5+1.2)=1.85

4 0

2 years ago

30 years ago zoe was 2/3 as old as luke, 18 years ago zoe was 5/6 as old as luke how old are they now

barxatty [35]

Based on the mathematical statements, Zoe is 56 years old and Luke is 66 years old, now

<h3>How to determine how old they are now?</h3>

From the question, we have the following statements that can be used in our computation:

30 years ago

Zoe was 2/3 as old as Luke

18 years ago

Zoe was 5/6 as old as Luke

Let their present ages be represented as

Zoe = x

Luke = y

So, we have the following representations

30 years ago

Zoe was 2/3 as old as Luke

x - 36 = 2/3(y - 36)

18 years ago

Zoe was 5/6 as old as Luke

x - 18 = 5/6(y - 18)

So, we have the following system of equations

x - 36 = 2/3(y - 36)

x - 18 = 5/6(y - 18)

Make x the subject in x - 18 = 5/6(y - 18)

x = 5/6(y - 18) + 16

Substitute x = 5/6(y - 18) + 16 in x - 36 = 2/3(y - 36)

5/6(y - 18) + 16 - 36 = 2/3(y - 36)

Open the brackets

5/6y - 15 + 16 - 36 = 2/3y - 24

Evaluate the like terms

5/6y - 35 = 2/3y - 24

Multiply through by 6

5y - 210 = 4y - 144

Evaluate the like terms

y = 66

Substitute y = 66 in x = 5/6(y - 18) + 16

x = 5/6(66 - 18) + 16

Evaluate

x = 56

Recall that

Zoe = x

Luke = y

So, we have

Zoe = x = 56

Luke = y = 66

Hence, they are 56 and 66 years, now

Read more about equations at

brainly.com/question/2476251

#SPJ1

5 0

1 year ago

How do you solve a function

madreJ [45]

You used to say "y = 2x + 3; solve for y when x = –1". Now you say "f(x) = 2x + 3; find f(–1)" (pronounced as "f-of-x is 2x plus three; find f-of-negative-one"). You do exactly the same thing in either case: you plug in –1 for x, multiply by 2, and then add the 3, simplifying to get a final value of +1.
Brainliest?

7 0

4 years ago

Please answer ASAP! The Fergusons decided to book the room at the price that Mrs. Ferguson was given, $2075, because it included

Alex787 [66]

So what you should do is
15% off, then add tax or
2075 times 0.85 times 1.185=2090.04 about

you can't just add and subtract percents because they are percents of different things

what he did was
he found 15% of 2075 and 18.5% of 2075 then found the difference and added to 2075 to find his total

what he should have done is
found the discounted price (15% off) then found the tax on that

first way
2075 times 0.15=311.25
2075-311.25=1763.75
1763.75 times 0.185=326.29375
1763.75-326.29375=2090.04

2nd way (easy, if you understand commutative property and stuff)
100-15=85
1+0.185=1.185
2075*0.85*1.185=2090.04

answer should be $2090.04

7 0

3 years ago

A questionnaire has determined that 20% of the residents of Flaugamuck County own an iPod. Furthermore, 80% of these iPod owners

nydimaria [60]

Answer:

P = 7.14%

The percentage of those 30 years or older that own an ipod is 7.14%

Step-by-step explanation:

Given;

Percentage of ipod owners Pi = 20%

Percentage who don't own ipod Pd = 100-20 = 80%

For age 30 or older;

Percentage of ipod owners who belong to this group

Po = 20% of Pi

Percentage who don't have an ipod but belong to this group Pu = 100-35% = 65% of Pd

The percentage of those 30 years or older that own an ipod is;

P = Po/(Po+Pu) × 100%

Po = 20% of Pi = 20% of 20% = 0.2×20 =4%

Pu = 65% of Pd = 65% of 80% = 0.65×80% = 52%

Substituting the values;

P = 4/(4+52) × 100%

P = 7.14%

5 0

3 years ago