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
GuDViN [60]
2 years ago
13

Find x, find jl . any help is deeply appreciated :) !​

Mathematics
1 answer:
Doss [256]2 years ago
4 0

Answer:

6. x = 15

7. JL = 78

Step-by-step explanation:

6. 8x - 23 = ½(10x + 44) (midsegment theorem)

Multiply both sides by 2

2(8x - 23) = 10x + 44

16x - 46 = 10x + 44

Collect like terms

16x - 10x = 46 + 44

6x = 90

Divide both sides by 6

x = 90/6

x = 15

7. MN = 5x - 16

JL = 4x + 34

MN = ½(JL) (midsegment theorem)

5x - 16 = ½(4x + 34) (substitution)

2(5x - 16) = 4x + 34

10x - 32 = 4x + 34

Collect like terms

10x - 4x = 32 + 34

6x = 66

x = 66/6

x = 11

JL = 4x + 34

Plug in the value of x

JL = 4(11) + 34 = 44 + 34

JL = 78

You might be interested in
Colin invests £100 into his bank account.
kramer

The answer is $131.59

After year 1

104

Year 2

108.16

Year 3

112.49

Year 4

116.98

Year 5

121.67

Year 6

126.53

Year 7

$131.59

8 0
3 years ago
Read 2 more answers
Andre is paid $12 per hour at his caddying job and $9.50 per hour working at a local fast food restaurant. He would like to keep
Fynjy0 [20]

The equation that can be used to model this scenario is 12x + 9.5y ≥ 275 and x + y ≤ 25

Let x represents the number of hours Andre works at his caddying job and y represents the number of hours he works at the restaurant.

Since he earn at least $275.00 a week, hence:

12x + 9.5y ≥ 275   (1)

Also, he can work no more than 25 hours, hence:

x + y ≤ 25   (2)

Therefore the equation that can be used to model this scenario is 12x + 9.5y ≥ 275 and x + y ≤ 25

Find out more at: brainly.com/question/25285332

5 0
3 years ago
Help Please? GEOMETRY Use the word bank to help you with possible answers (there are extra options that are not to be used)
ipn [44]
Short Answers:

Answer for part A: Definition of perpendicular
Answer for part B: Right Angle Congruence Theorem
Answer for part C: Reflexive Property of Congruence
Answer for part D: Definition of Midpoint
Answer for part E: \triangle SXR \cong \triangle TXR
Answer for part F: CPCTC

-------------------------------------------------------------

Explanations:

Part A:

We are given that \overline{RX} \perp \overline{ST} which means, in english, "line segment RX is perpendicular to line segment ST"

By the very definition of perpendicular, this means that the two line segments form a right angle. This is visually shown as the red square angle marker for angle RXT. Angle RXS is also a right angle as well.

---------------------
Part B:

The Right Angle Congruence Theorem (aka Right Angle Theorem) is the idea that if we have two right angles, then we know that they are both 90 degrees so they must be congruent to one another. 

---------------------
Part C:

Any line segment is congruent to itself. This is because any line segment will have the same length as itself. It seems silly to even mention something so trivial but it helps establish what we need for the proof. 

---------------------
Part D:

We are given "X is the midpoint of segment ST" so by definition, X is in the very exact middle of ST. Midpoints cut segments exactly in half. SX is one half while TX is the other half. The two halves are congruent which is why SX = TX

---------------------
Part E:

Writing \triangle SXR \cong \triangle TXR means "triangle SXR is congruent to triangle TXR". These two triangles are the smaller triangles that form when you draw in segment RX

Side Note: SAS stands for "side angle side". The angle must be between the two sides. The pairing RX and RX forms one of the 'S' letters (see part C), while the pairing SX and TX forms the other 'S' (see part D). The angles between the sides are RXS and RXT (see part B). 

---------------------
Part F:

CPCTC stands for "Corresponding Parts of Congruent Triangles are Congruent"

It means that if we have two congruent triangles, then the corresponding parts are congruent. Back in part E, we proved the triangles congruent. For this part, we look at the pieces RS and RT (which correspond to one another; they are the hypotenuse of each triangle). They are proven congruent by CPCTC

If CPCTC is an odd concept to think about, then try thinking about something like this: you have two houses which are completely identical in every way. We can say that those two houses are congruent. If the houses are identical, then surely every piece that makes up the house is identical to its corresponding piece to the other house. For example, the front door to each house is both the same size, shape, color, made of the same material, designed in the same pattern, etc. So the two doors are congruent as well.
8 0
3 years ago
I don't understand the first one.
Mekhanik [1.2K]
No the 6 times 8 is 48 and the 9 times 12 is 108
8 0
3 years ago
Read 2 more answers
Write the number in two orher forms 314,207
asambeis [7]
Word Form: Three hundred fourteen thousand two hundred seven

Expanded Form: 300,000 + 10,000 + 4,000 + 200 + 7
5 0
3 years ago
Read 2 more answers
Other questions:
  • Ms Nunez is correcting math test, she corrects 7 test before school and 5 test after school. If each test takes her 1/5 hour to
    6·1 answer
  • Which stands for 250 feet below sea level?
    13·1 answer
  • There are 15 girls and 14 boys in an English class. The teacher is drawing names from a hat at random to set up teams of four st
    8·2 answers
  • How many inches are in a meter.!!!!!!!!!!!!!!!!!!!???????????<br> I will mark brainliest.
    5·2 answers
  • DESDE LA PARTE ALTA DE UN MURO DE 8M DE ALTURA SE OBSERVA LAS PARTE BAJA Y ALTA DE UN EDIFICIO CON ANGULOS DE ELEVACION Y DEPRES
    5·1 answer
  • 2/4 greater or less than 2/5
    6·2 answers
  • Suppose a city with population 300,000 has been growing at a rate of 5% per year. If this rate continues, find the population of
    15·1 answer
  • The function g(x) is graphed on the coordinate grid.
    7·2 answers
  • Students were asked how many books they were carrying in their backpacks. The data is shown in the frequency table. What is the
    5·1 answer
  • If you try to solve a linear system by the substitution method and get the result 0 = 8, what does this mean? The system has
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!