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
DENIUS [597]
3 years ago
8

Does anyone know what b is?

Mathematics
1 answer:
sveticcg [70]3 years ago
7 0

Answer: b = 17

Step-by-step explanation: The figure shows a triangle which upon closer observation is actually two triangles placed one inside the other. We have triangle QTR (the larger one) and triangle PTS (the smaller one).

The line PS is parallel to line QR, so in effect what we have here are two similar triangles. The ratios of similarity can be derived as

Line QT/line TR = line PT/line TS OR

Line QT/line QR = line PT/line PS.

With these ratios in mind we can now write the following expressions from the similar triangles;

QT = 2b + (2b - 17) and

TR = 16 + 8

TR = 24

Hence,

2b/16 = 2b + (2b - 17)/24

(That is, PT/TS = QT/TR)

2b/16 = (4b - 17)/24

By cross multiplication we now have,

2b(24) = 16(4b - 17)

By expanding the brackets we now have

48b = 64b - 272

By collecting like terms, 64b now moves to the left side of the equation and becomes negative

48b - 64b = -272

-16b = -272

Divide both sides of the equation by -16

b = 17

**Note** A negative number divided by another negative number yields a positive answer.

You might be interested in
What is the answer to this slope A (1,3),B (4,7)
jeyben [28]
The slope of these points is 4/3
7 0
3 years ago
Find the equation of the line passing through the points (5,21) and (-5,-29)
Assoli18 [71]

Answer:

Look below

Step-by-step explanation:

lets have -29 be y2 and -5 be x2

21 - (-)29

5 - (-)5

Subtracting a negative is just adding it so

21 + 29   50
5 + 5       10

50/10

this simplified, is 5/1 or 5

y=5x+b

now we need to find b, so we substitute  y and y

x = 5

y = 21

21=5*5=b

5*5 is 25

now we need to get to 21


25 -4 is 21

b = -4

y=5x-4

3 0
2 years ago
What is an equation of the line that passes through the point (-7,-6)(−7,−6) and is parallel to the line x-y=7x−y=7?
kotykmax [81]

Answer:

y = x + 1

Step-by-step explanation:

The gradient of a line can be defined by the equation:

m (gradient) = (y1 – y2 ) ÷ (x1 – x2) ----> "1" and "2" should be in subscript

For (-7,-6) we use x2 and y2 (because this point can be anywhere along a line):

x2 = -7, y2 = -6

Plug these values into the formula above:

m = (y-(-6)) ÷ (x-(-7))

m = (y+6) ÷ (x+7)

At this stage, the equation can't be solved as there are two unknowns. Therefore, the gradient must be found another way. Two lines are parallel if they have the same gradient - in their y=mx+c equations, m will be equal.

x - y=7 is the line alluded to in the question. Rearranging this equation into the line equation format gives:

y = x-7 ---> The gradient (coefficient of x) is 1.

Therefore, the gradient of the other parallel line must also be 1.

This can be substituted into the previous equation to give:

1 = (y+6)÷(x+7)

x+7 = y+6

x+1 = y

Therefore, the answer is y=x+1

5 0
3 years ago
ABC is a straight line where BC = 3AB. OA = a, AB = b Express OC in terms of a and b.​
Aleks [24]
That would be 3AB because of the expression you have
7 0
2 years ago
How many terms are in the binomial expansion of (3x 5)9? 8 9 10 11
swat32

Answer:

10

Step-by-step explanation:

5 0
2 years ago
Other questions:
  • If you plot the distance a train travels as a function of time and get a straight line, you can then find the slope of that line
    11·2 answers
  • Y+3=1/4x <br> What is the standard form of the following equation
    7·1 answer
  • Which of the following lines would be perpendicular to a line whose equation is y=1/2x-7 and pass through the point (-10,7)?
    15·1 answer
  • ALL OF A SUDDEN EVERYONE IS CLUELESS IN GEOMATRY?!?! COME ON!!! I LITERALLY HAVE 12 MINUTES LEFT! HELP ME PLEASE! I AM STRESSED
    13·1 answer
  • Angles in a triangle: I did common like terms: 2x+190=180. I solved it and got -10. I checked my answer by changing x to -10. I
    6·2 answers
  • Find the missing length of the triangle
    14·1 answer
  • When I am finding the surface area, do I cube or square it? Or does it depend on the shape/object?
    13·1 answer
  • #1
    13·1 answer
  • Help me please please
    8·1 answer
  • For the function of F (x) -2x^2 + x + 1 find F (3)
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!