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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:

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

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

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

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

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

$-Isabelle~Williams$

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Each baby dinosaur made 15 paintings and each adult dinasour made 7 paintings. The entire herd made 208 paintings in total, and

Serggg [28]

Answer:

there are 6 baby dinos and 2

Step-by-step explanation:

6 0

3 years ago

In another baseball division, one team had a winning percentage of 0.444 repeating What fraction of their games did this team wi

UkoKoshka [18]

Answer:

$x = \frac{4}{9}$

Step-by-step explanation:

Given

Winning Percentage = 0.444 repeating

Required

Represent as a fraction

Represent the percentage with x

$x = 0.444$

Convert to fraction

$x = \frac{444}{1000}$

Next step, is to convert to fraction repeating

To do this, we simply subtract 1 from the denominator

$x = \frac{444}{1000 - 1}$

$x = \frac{444}{999}$

Simplify to the lowest term: Divide numerator and denominator by 37

$x = \frac{444/37}{999/37}$

$x = \frac{12}{27}$

Simplify to the lowest term: Divide numerator and denominator by 3

$x = \frac{12/3}{27/3}$

$x = \frac{4}{9}$

Hence;

There winning fraction is $\frac{4}{9}$

8 0

2 years ago

Simplify the expression (128x^5/8x)^1/2

solong [7]

Answer: 4x'6

Step-by-step explanation:

Simplify x5 /8. Than, Equation at the end of step 1 : x5 ——) • x)1) ÷ 4 8

Step 2 : 2.1 16 = 24 (16)1 = (24)1 = 24 2.2 x6 raised to the 1 st power = x( 6 * 1 ) = x6

Step 3 : 24x6 Simplify ———— 4

Dividing exponents : 3.1 24 divided by 22 = 2(4 - 2) = 22

which brings us to our final answer above

5 0

2 years ago

S=L (1 - r), for r

maria [59]

OK. Then let's solve for ' r '. That means you have to come up with an equation that says   r = everything else.

Step #1:
Write the equation you're given:   <span>S = L (1 - r)

Let's divide each side by ' L ': S/L = 1 - r

Subtract 1 from each side :    S/L - 1 = -r

Multiply each side by -1 : <em> 1 - S/L = r</em>

and there you have it.
</span>

3 0

3 years ago

How did I I get this wronggggggg

SIZIF [17.4K]

Answer:

mhmmm well i don't know what you got wrong but it was prob cus u didnt sum wrong or wasn't paying attention to what you were doing. Hope this helpss have a safe and joyful holiday

Step-by-step explanation:

8 0

2 years ago