1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
MissTica
3 years ago
10

If AABC = ADFE determine the values of x and y.

Mathematics
1 answer:
natita [175]3 years ago
6 0

8y - 5 = 99 \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: 8y = 99 + 5 \\ \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  8y = 104  \\ \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   y=  \frac{104}{8}   \\ \:  \:  \:  \ \:  \:  \:  y = 13

\:  \:  \:  \:  \:  \: 2y + x = 38.4 \\ 2(13) + x = 38.4 \\  \:  \:  \:  \:  \:  \: 26 + x = 38.4 \\ \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   x = 38.4 - 26 \\ \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  x = 12.4

You might be interested in
four segments measure 16, 19, 43 and 50 centimeters. what is the probability that a triangle can be formed if three of these seg
neonofarm [45]
OK, a triangle first of all needs to have a certain condition satisfied. The length of one side of a triangle can not equal the length of 2 sides combined. So in a triangle a + b = c, a + b can not be less than c (a + b <span>≮ c</span>). Therefore, there are only a few possibilities that will work here. Let's find them:

16, 19, 43; no

16, 19, 50; no

16, 43, 50; yes

19, 43, 50; yes 

Since only 2 out of 4 form triangles, there is a 50% chance you'll pick the right segments to form a triangle.
3 0
3 years ago
A family has two cars. During one particular week, the first car consumed 15 gallons of gas. The two cars Drove a combined total
julia-pushkina [17]

Answer:

Car 1 : 40 miles per gallon

Car 2: 25 miles per gallon

Step-by-step explanation:

family has two cars. During one particular week, the first car consumed 15 gallons of gas. The second car consumed 25 gallons of gas. The two cars Drove a combined total of 1475 miles and the sum of their fuel efficiency was 65 miles per gallon. What were the fuel efficiency of each of the cars that week

Given that :

Fuel efficiency , car 1 = x

Fuel efficiency , car 2 = y

x + y = 65 - - (1)

15x + 35y = 1475 - - - (2)

x = 65 - y

15(65-y) + 35y

975 - 15y + 35y = 1475

20y = 14875 - 975

20y = 500

y = 25

Put y = 25 in (1)

x + y = 65

x + 25 = 65

x = 65 - 25

x = 40

6 0
3 years ago
What is m angle DFC​
kozerog [31]
Your answer would be 80*
4 0
3 years ago
Read 2 more answers
The linear function graphed below represents the value of a comic book since Lucy purchased it. What was the value of the comic
zhuklara [117]

Answer:

C. $25

Step-by-step explanation:

We will find,

The slope of the function using \frac{y_{2}-y_{1}}{x_{2}-x_{1}}.

Taking the points (1,40) and (2,55).

Slope = \frac{55-40}{2-1}

i.e. Slope = \frac{15}{1}

i.e. Slope = 15

Substituting the slope and point (1,40) in the equation y=mx+b,

We have, 40=15\times 1+b

i.e. b=40-15

i.e. b= 25

Thus, the equation of the linear function is y=15x+25.

<em>This linear function represents the cost of the comic book since Lucy purchased it, where x= years.</em>

So, the initial value of the comic book is when x= 0.

So, y=15\times 0+25 i.e. y= 25

Hence, the cost of the book when Lucy purchased it was $25.

8 0
3 years ago
Read 2 more answers
Help me with this please
expeople1 [14]

Answer:

i think 55 i'm not sure

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Other questions:
  • Is the sum of the areas of two smaller squares equal to the area of a large square if the sides lengths of the squares are 8 fee
    9·1 answer
  • Which of the following are solutions to |x-1|= 5x + 2 ? Check all that apply.
    12·1 answer
  • What is 58 ÷ 4083.2​
    11·1 answer
  • Skyler goes to a school which has 100 students in it. She asks 40 random students whether they like the new 8.30 am start to the
    11·1 answer
  • A television originally cost t dollars, including tax. Ricardo purchased the television when it was on sale for 35% off its orig
    12·1 answer
  • Write the equation of the line in fully simplifoed slope intercept form
    5·1 answer
  • Help me please and thank you .
    10·1 answer
  • The lunch special at Lucy's Restaurant is a sandwich, a drink and a dessert. There are 2 sandwiches, 3 drinks, and 1 dessert to
    11·2 answers
  • Please help this is for my son
    13·2 answers
  • if you rent a full-size car from Quick Car Rental for 1 day how much would the total rental cost be if you drove the car 78 mile
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!