All categories

2 years ago

Two parallel lines are cut by a transversal, as shown below. Solve for b. Then explain your reasoning.

Mathematics

2 answers:

AleksandrR [38]2 years ago

5 0

Answer:

b=14

Step-by-step explanation:

the two labeled angles are vertical angles. according to the vertical angles theorem, they must be equivalent. therefore, we can set them equal to each other and solve.

5b=b+56

4b=56

b=14

GarryVolchara [31]2 years ago

3 0

5b=b+56
4b=56
b=14
The two angles are congruent by vertical angles. Set them equal and solve for b.

You might be interested in

Help i need this by today ASAP

Vikki [24]

Answer:

d, a, e, c, b

Step-by-step explanation:

6 0

3 years ago

Nine less than the product of 4 and a number is 23

borishaifa [10]

Step-by-step explanation:

4x - 9 = 23

4x = 32

x = 8

the number is 8.

7 0

3 years ago

Read 2 more answers

Besties this is 100 points & i'll give brainliest istg i need to know this

diamong [38]

Answer:

$\displaystyle b = - 14$

$\displaystyle c = - 54$

Step-by-step explanation:

to figure out b we can consider the following formula:

$\displaystyle \frac{ - b}{2a} = h$

the form of vertex coordinate given by

$\displaystyle (h,k)$

so according to the question

$\displaystyle (h,k) = ( - 7, - 5)$

by order pair we obtain:

$\displaystyle h = - 7, k = - 5$

now substitute the value of h and a to the formula:

$\displaystyle \frac{ - b}{2(- 1)} = - 7$

simplify multiplication:

$\displaystyle \frac{ - b}{ - 2} = - 7$

cross multiplication:

$\displaystyle - b = 14$

divide both sides by -1:

$\displaystyle b = - 14$

now we need to figure out C to do so substitute -7 for x and -5 for y which yields:

$\displaystyle - {7}^{2} - 14( - 7) + c = - 5$

simplify square:

$\displaystyle -49 - 14( - 7) + c = - 5$

simplify multiplication:

$\displaystyle -49 + 98+ c = - 5$

simplify addition:

$\displaystyle 49+ c = - 5$

cancel 49 from both sides:

$\displaystyle c = - 54$

hence,

b=-14
C=-54

7 0

4 years ago

Read 2 more answers

What is the value of r, the part of the job that Marina can complete in 1 hour?

EastWind [94]

Answer:

0.4

Step-by-step explanation:

so, Katherine can do 0.1 of the job per hour. (if she needs 10 hours for the job, each hour she can do the whole divided by the time, so 1/10, which is 0.1)

if in two hours she and Marina can be done, then Marina will do 1(the whole job)-2/10 (twice as much as she can do in an hour)=0.8 of the job. So if Marina does 0.8 of the job in two hours, each hour she will do half of it: 0.4 - and this is the correct answer

5 0

4 years ago

A submarine is at a depth of 100 feet below sea level. Then it starts to dive at a rate of 50 feet per minute. What is the slope

aliya0001 [1]

Answer:

-50

Explanation:

I don't really know why, but I answered a guess and got it correct, so If you trust me and what I am saying you will get the correct answer. However, If you don't trust me I completely understand why, but hope you use my answer anyway. Hope this can help you. If it doesn't please forgive me and the website I used.

4 0

3 years ago

Read 2 more answers