All categories

3 years ago

Using the diagram below, find x.

Mathematics

1 answer:

Alona [7]3 years ago

6 0

Answer:

$x=28$

Step-by-step explanation:

$we~know~ that~ all~ the~ angles ~in ~a ~triangle ~all~add ~up ~to ~180$ ° $That ~means: x + ( 2x + 5 ) + ( 3x + 7 ) = 180.~Since~ addition~ is~ associative,\\~x + ( 2x + 5 ) + ( 3x + 7 ) = 180~ is ~the~ same ~as~ x + 2x + 5 + 3x + 7 = 180.$

$Combining~ like~ terms,~ we ~get: 6x + 12 = 180.$

$After~ we ~move~ 12~ to~ the~ other~ side~ so ~the~ x~ is~ iscolated,~ we~ get:\\\ 6x = 168.\\$

$Dividing~ each~ side~ by~ 6 ~gets~ us ~to~: x = 28, ~so ~the~ answer~ to~ this~ question~ is D.\\$

$Hope~this~helps!~Have~a~blessed~day~ahead!$

$-Isabelle~Williams$

You might be interested in

In order to estimate the average time spent per student on the computer terminals at a local university, data were collected for

d1i1m1o1n [39]

Answer: option D

Step-by-step explanation:

The formulae for standard error = standard deviation/√n

But population standard deviation = 1.8 and sample size = n = 81

Standard error = 1.8/√81 = 1.8/9 = 0.2

4 0

3 years ago

If A+B= 45° then prove that: tanA+ tanB+ tanA. tanB

Iteru [2.4K]

Answer:

See Explanation

Step-by-step explanation:

$A+B= 45 \degree \\ \\ assuming \: \tan \: on \: both \: sides \\ \\\implies \: \tan( A+B)= \tan 45 \degree \\ \\ \implies \: \tan( A+B)= 1 \: \: \\ ( \because \: \tan 45 \degree = 1) \\ \\ \implies \: \frac{\tan \: A +\tan \: B }{1 - \tan \: A .\tan \: B } = 1 \\ \\ \implies \: \tan \: A +\tan \: B = 1 - \tan \: A .\tan \: B \\ \\ \purple{ \implies }\: \orange{ \bold{\tan \: A +\tan \: B + \tan \: A .\tan \: B= 1 }} \\ \\ thus \: proved$

8 0

2 years ago

[79 points if correct] Help me with any 4 questions! Please !!!!

Anarel [89]

Answer:

(BEFORE YOU SUBMIT IT, PLEASE READ THE WARNING)

QUESTION EIGHT: 2690

QUESTION NINE: 120

QUESTION ELEVEN: 12.5

QUESTION FOURTEEN: 24

Step-by-step explanation:

WARNING!! FOR QUESTIONS WITH INTEREST: I do not know if interest is good or bad (if you get money, or if you lose money. I counted interest as making money, but if you are sure it's not, contact me in the comments and I will solve it again! :)

may 3rd -> july 15th = 73 days

500*0.06 = 30

30 = how much he makes in one day (so he has 530 after 1 day)

30*73 = 2190

500 + 2190 = 2690

210/7 = 30

1% for 3 years = 30

1% for 1 year = 10

100% for 1 year = 1000

2000*0.06 = 120

11.

54,000*0.08 = 4320

54,000/4320 = 12.5

14.

5000*6.26% = 312.5

7500/312.5 = 24

5 0

3 years ago

Solve for x. * (5x + 13) (9x - 31)

ycow [4]

Answer:

x=11

Step-by-step explanation:

5x+13=9x-31

subtract 9 from both sides.

-4x+13=-31

you want to isolate the x value so subtract 13 from both sides.

-4x=-44

now divide both sides by -4.

x=11

6 0

3 years ago

Solve the following system of equations. What is one x-value of a solution?

gulaghasi [49]

Answer:

There is some mistake in the question, because the solutions are x = -1.445 and x = -34.555

Step-by-step explanation:

Given the functions:

f(x) = x² + 4x + 10

g(x) = -32x - 40

we want to find the points at which f(x) = g(x).

x² + 4x + 10 = -32x - 40

x² + 4x + 10 + 32x + 40 = 0

x² + 36x + 50 = 0

Using quadratic formula:

$x = \frac{-b \pm \sqrt{b^2-4(a)(c)}}{2(a)}$

$x = \frac{-36 \pm \sqrt{36^2-4(1)(50)}}{2(1)}$

$x = \frac{-36 \pm 33.11}{2}$

$x_1 = \frac{-36 + 33.11}{2}$

$x_1 = -1.445$

$x_2 = \frac{-36 - 33.11}{2}$

$x_2 = -34.555$

5 0

3 years ago