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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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What is the volume of the cone? cone v = one-third b h startfraction 70 over 3 endfraction pi centimeters cubed startfraction 14

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Using the assumed values, the volume of the cone is $V = \frac {250}3\pi$

<h3>How to determine the volume of the cone?</h3>

The volume of a cone is calculated using:

$V = \frac 13\pi r^2h$

The parameters are not given.

So, we use the following assumed values

Radius, r = 5

Height, h =10

Using the assumed values, we have:

$V = \frac 13\pi * 5^2 * 10$

Evaluate the product

$V = \frac {250}3\pi$

Hence, using the assumed values, the volume of the cone is $V = \frac {250}3\pi$