A Triangle Has Angles With The Following Measures: (x2 + 34), (6x + 4), And (10x + 10). Solve For X. (2024)

Mathematics High School

Answers

Answer 1

Answer:

[tex]x = \frac{-8 +\sqrt{190} }{2}[/tex] or x = 5.7840

Step-by-step explanation:

All the angles of a triangle add up to 180°, so we can solve this using the following equation:

180 = (x^2 + 34) + (6x + 4) + (10x + 10)

180 = x^2 + 34 + 6x + 4 + 10x + 10

Now, let's combine like terms:

180 = x^2 + (6x + 10x) + (34 + 4 + 10)

180 = x^2 + 16x + 54

Subtract 180 from both sides:

0 = x^2 + 16x - 126

And solve using the quadratic formula:

[tex]x = \frac{-b +\sqrt{b^{2}-4ac } }{2a}\\x = \frac{-16 +\sqrt{16^{2}-4(1)(-126) } }{2(1)}\\x = \frac{-16 +\sqrt{256+504 } }{2}\\x = \frac{-16 +\sqrt{760} }{2}\\x = \frac{-16 +2\sqrt{190} }{2}\\\\x = \frac{-8 +\sqrt{190} }{2}\\[/tex]

And we can approximate this as a decimal, if needed:

x = 5.7840

Related Questions

4 * 4 * 4 * 5 * 5
help please

Answers

Answer:

=1600

Step-by-step explanation:

=4*4*4*5*5

=16*4*25

=64*25

=1600

Hope this helps, have a nice day/night! :D

Help plzdlkkdkkdkdnnzkzkzkskskeme

Answers

Answer:

ofc 8 there are 8 post card ♦️

Answer:

222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222

Step-by-step explanation:

22222222222222222222222222222222222222

Express the given in terms of the logarithms of prime numbers:
[tex]log_{4} 405[/tex]
[tex]log_{7}(\frac{8}{81} )[/tex]

Answers

The required expression in terms of logarithm of prim numbers are;

[tex]log_4405=log_4(3^4\times 5)=log_43^3+log_45[/tex]

[tex]log_7(\frac{8}{81} )=log_7(\frac{2^3}{3^4} )=log_72^3-log_73^4[/tex]

Prime numbers are numbers that can only be divisible by 1 and itself.

From the given logarithmic expression, we will need to write 405, 8, and 81 as the product of prime numbers

405 = 3 * 3 * 3 * 3 * 5

405 = 3^4 * 5

8= 2* 2 * 2

8 = 2^3

81 = 3 * 3 * 3 * 3

81 = 3^4

The logarithm expression [tex]log_4405 \ and \ log_7(\frac{8}{81} )[/tex] can be expressed in terms of prime numbers as;

[tex]log_4405=log_4(3^4\times 5)=log_43^3+log_45[/tex]

Similarly;

[tex]log_7(\frac{8}{81} )=log_7(\frac{2^3}{3^4} )=log_72^3-log_73^4[/tex]

Learn more here: https://brainly.com/question/23004769

Is there a direct proportion in 4.5a = b + 12

Answers

no there is not at all
pls give brainly am need points

Solve for r.
4r+10>6
71 points

Help Plslsspsl

Answers

Answer:

r > -1

Step-by-step explanation:

4r + 10 > 6

4r + 4 > 0

4 > -4r

-4 < 4r

-1 < r

r > -1

Answer:

r > - 1 or r ∈ (- 1, + ∞)

Step-by-step explanation:

4r + 10 > 64r > 6 - 104r > - 4r > - 4/4r > - 1 or r ∈ (- 1, + ∞)

tim drives at an average of 80km

Answers

Answer:

80km --- 49.7097mi

Step-by-step explanation:

thats quite slow... but please provide context then i can solve it for you

HELP ASAP 10 POINTS WILL MARK BRAINIEST IF CORRECT

Answers

Answer:

Bryan

Step-by-step explanation:

Rate of Change

Answer:

Malory Makes more money than bryan

Step-by-step explanation:

The sum of two numbers is 72.The difference is 40.Find the number

Answers

the answer is 56 and 16

Step-by-step explanation:

56 and 16

g(x)=(x-1)^3-1 find the inverse of this function

Answers

Answer:

G^−1(x)=3√x+1+1

Step-by-step explanation:

Answer:

[tex]g^{-1}(x)[/tex]= [tex]\sqrt[3]{x+1}[/tex]+1

Step-by-step explanation:

To find the inverse, swap x and y.

g(x)=(x-1)^3-1

-> x=(y-1)^3-1

Solve the equation in terms of y.

x=(y-1)^3-1

x+1=(y-1)^3

[tex]\sqrt[3]{x+1}[/tex]=y-1

[tex]\sqrt[3]{x+1}[/tex]+1=y

A number is between 14 and 19. It has prime factors of 2 and 3. What is the​ number

Answers

Answer:

18

Step-by-step explanation:

18devided by 3 is 6 and 18 divided by 2 is 9

The number that has prime factors of 2 and 3 is 18.

What are prime factors?

Prime factors are factors that are prime numbers. Prime numbers are numbers that are divisible by one and itself. Examples are 2 and 3.

What are the factors of the numbers between 14 and 19?

Factors of 15 = 1, 3, 5, 15 Factors of 16 = 1, 2, 4, 8, 16Factors of 17 = 1, 17Factors of 18 = 1, 2, 3, 6, 8, 16

To learn more about factors, please check: https://brainly.com/question/26073850

PLS ANSWER QUICK AND SHOW WORK

Mrs. McDonnell makes $30 an hour. Today she
worked 5 hours. In addition, she earned 28% of the
$800 in socks that she sold. How much total did you
make for the day?

Answers

Step-by-step explanation:

30×5=150 and 800×28%=224

total earned $374.

find the square root of 48​

Answers

The answer is 6.92820323028

[tex] \: \: \: \: \: [/tex]

6.92820323

step-by-step explanation

refer to the attachment

hope it helps

Which algebraic expression is equivalent to the expression below?

7(2x + 8) - 2
A.
14x + 54
B.
14x + 56
C.
14x + 6
D.
14x + 42

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

let's evaluate ~

[tex]7(2x + 8) - 2[/tex]

[tex]14x + 56 - 2[/tex]

[tex]14x + 54[/tex]

Therefore , the correct choice is ~ A

Hi i need the answer to this asap please

2 divided by 3

please explain how you got answer like show work

please do not answer in decimal form or the answer from go ogle

and please dont just answer for points

Answers

0.66666666666
I got it from the internet?

The only way to answer it other than decimal form would be as a fraction. This would simply be 2/3 (two over three). It cannot be simplified any further, so that is your answer.

What is 3/4 multiplied by 3

Answers

I would say it’s 9/4.

A baseball diamond is a square with 90 foot sides. If the catcher is standing on home plate, what is the approximate distance to throw out a player headed to second base?

help!!

Answers

Answer: approximately 127.3 feet

============================================================

Explanation:

Draw a straight line from home plate to second base. Two right triangles form. Each triangle has both legs equal to 90 ft. The hypotenuse is what we're after. We'll use the pythagorean theorem to find it.

[tex]a^2 + b^2 = c^2\\\\c = \sqrt{a^2 + b^2}\\\\c = \sqrt{90^2 + 90^2}\\\\c = \sqrt{16200}\\\\c \approx 127.27922\\\\c \approx \boldsymbol{127.3}\\\\[/tex]

It's approximately 127.3 feet from home plate to second base. This is a straight line distance. Any curved path the ball takes will travel a slightly longer distance; however, we only consider the straight line distance for the sake of simplicity.

PLEASE hELP
Find the domain of the function shown in the graph below?

Answers

Answer:

All real numbers with vertical asymptotes at -2 and 6

Step-by-step explanation:

The domain of the function is all the possible x values of the function, so the solution is all real numbers with vertical asymptotes at -2 and 6 because the values never cross here.

Have a nice day!

I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

If
x
=
5
and
y
=
7
, evaluate the following expression:
100

3
(
3
y

4
x
)

Answers

Answer:

97

Step-by-step explanation:

100-3(3y-4x)

97(3×7-4×5)

97(21-20)

97(1)

=97

what is the ratio of $1 to 60 cents?​

Answers

Answer:

100:60

Step-by-step explanation:

$1 is equal to 100 cents

So we can compare it as 100:60

Hope this helps!

Answer:

5:3.

Step-by-step explanation:

That would be 1:0.60

= 100:60

= 5:3.

Drag each shape to the correct category.
Identify which shapes are similar to shape A and which are not.

Answers

Answer:

Step-by-step explanation:

Tim Worker wants to purchase an automobile warranty costing $6,659.

If he chooses to make 48 equal payments, then in dollars and cents the average payment will be $_____

Answers

From the given information, the amount that will be paid averagely each month will be $138.73.

From the information given, Tim Worker wants to purchase an automobile warranty costing $6,659 and he chooses to make 48 equal payments.

Therefore, the amount that will be paid each month will be calculated thus:

= $6,659 / 48

= $138.73

The amount will be $138.73.

Read related link on:

https://brainly.com/question/24429956

does anyone know how to view what answers you got correct on a post test for plato/ edmentum? please give detailed instructions

Answers

Answer:

Step-by-step explanation:

For Plato just press the + button to add an introduction or whatever.

The graph of a function is shown on the coordinate plane below. Identify the rate of change of the function.

Answers

Answer:

[tex]\frac{5}{3}[/tex]

Step-by-step explanation:

The slope m is a measure of the rate of change

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with |(x₁, y₁ ) = (0, - 1) and (x₂, y₂ ) = (3, 4) ← 2 points on the line

m = [tex]\frac{4-(-1)}{3-0}[/tex] = [tex]\frac{4+1}{3}[/tex] = [tex]\frac{5}{3}[/tex] ← rate of change

Answer:

slope(m) = 7/4

Step-by-step explanation:

You can use Rise over run in order to find out the answer. I just used points (0,-1) and (4,6) and the rise was positive 7 while the run is 4 so the rate of change or the slope is 7/4.

You could also use the long way to figure the slope of the line. You could use (y2 - y1) / (x2, x1) to get the same slope

how is the answer 4?? ​

Answers

Answer:

see below

Step-by-step explanation:

log sqrt5 (25) = y

we know that loga (b) = c can be rewritten as a^c = b

sqrt(5) ^ y = 25

Rewriting sqrt(5) as 5^1/2 and 25 as 5^2

5^1/2 ^ y = 5^2

we know a^b^c = a^ (b*c)

5 ^ 1/2y = 5^2

1/2y = 2

y = 4

David descarga un video de 72 megabytes en 8 minutos ¿cuantos megabytes descargara en 13 minutos ?

Answers

Answer:

117 megabytes

Step-by-step explanation:

Por regla de tres:

72 mb son a 8 mins

D mb son a 13 minutos

D = 13*72/8

D = 117 mb

rearranging formulae y=4x+3

Answers

Step-by-step explanation:

y = 4x + 3

subtract 3 on both sides of equation

y - 3 = 4x + 3 - 3

y - 3 = 4x

divide the equation by 4 on both sides

\frac{y - 3}{4} = \frac{4x}{4}4y−3=44x

x =\frac{y - 3}{4}4y−3

DONE.

Rose spent 124 on 10 cars & 4 cats what is the cost for 1 car & 1 cat.

Answers

Answer:

$6 per cat, $10 per car

Step-by-step explanation:

I guess and checked my work.

Compare î and by converting each fraction to a decimal. Which is larger? 3 O A. î (or 0.27) is the larger number. OB. (or 0.2727...) is the larger number. 11 C. 3 12 (or 0.312) is the larger number. O D. (or 0.25) is the larger number.​

Answers

Answer:

A

Step-by-step explanation:

Hope it can help you lovelots

Answer: B. 3/11 (or 2.2727...) is the larger number.

13
n is a positive whole number.
(a) What type of positive whole number is 2n - 1?
(1)
(6) Write down an expression for the nth multiple of 5
(1)
Alan has 4 boxes of cakes.
There is the same number of cakes in each box.
Alan has a total of t cakes.
(c) Write down an expression, in terms of t, for the number of cakes in each box.
(1)

Answers

Answer:

use the Microsoft world language to define noun phrases and figure of speech

Which equations represent exponential growth? Which equations represent are exponential decay?
pls help​

Answers

Answer:

When the base is less than 1 it's Decay

When the base is greater than 1 it's Growth

A Triangle Has Angles With The Following Measures: (x2 + 34), (6x + 4), And (10x + 10). Solve For X. (2024)

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