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tester [92]
3 years ago
15

I have to find the angle measurements of a interior triangle a is 4x b is 7x-2 and c is 5x-10

Mathematics
1 answer:
RSB [31]3 years ago
5 0

Answer:

m\angle a=48^o\\m\angle b=82^o\\m\angle c=50^o

Step-by-step explanation:

we know that

The sum of the interior angles in any triangle must be equal to 180 degrees

so

m\angle a+m\angle b+m\angle c=180^o

substitute the given values

4x^o+(7x-2)^o+(5x-10)^o=180^o

solve for x

(16x-12)^o=180^o

16x=180+12\\16x=192\\x=12

Find the angle measurements

m\angle a=4(12)=48^o

m\angle b=7(12)-2=82^o

m\angle c=5(12)-10)=50^o

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Solve the proportional<br> equation below:<br> x/4 = x-6/3
aleksandrvk [35]
<h2><u>PROPORTIONAL EQUATION</u></h2><h3>Exercise</h3>

Apply the means-extremes property of proportions: this allows you to cross multiply:

                \boxed{\mathsf{\dfrac{x}{4} = \dfrac{x - 6}{3}}}

\mathsf{\dfrac{x}{4} \searrow \dfrac{x - 6}{3}}      ‏‏‎      ‏‏‎‎      \mathsf{\dfrac{x}{4} \nearrow \dfrac{x-6}{3}}‏‏‎‎

             \boxed{\mathsf{3x = 4(x - 6)}}

Apply the distributive property:

\mathsf{3x = 4(x-6)}

\mathsf{3x = 4(x) - 4(6)}

\mathsf{3x = 4x - 24}

Add 24 to both sides:

\mathsf{3x + 24 = 4x - 24 + 24}

\mathsf{3x + 24 = 4x}

Substract 3x to both sides

\mathsf{3x - 3x + 24 = 4x - 3x}

\mathsf{24 = 4x - 3x}

\large{\boxed{\mathsf{24 = x}}}

‎      ‏‏‎

<h3><u>Answer</u>. The value of x = 24.</h3>

‎      ‏‏‎

8 0
3 years ago
Find the total surface area of cube whose volume is 27000cm^2
Furkat [3]
5400 is ur answer .

ans: 5400 is the surface area
4 0
3 years ago
A store is having a sale on jelly beans and trail mix. For 3 pounds of jelly beans and 2 pounds of trail mix, the total cost is
Nata [24]

the cost for each of jelly beans and each pound of trail mix is $2.5 and $1.75

<u>Step-by-step explanation:</u>

Given A store is having a sale on jelly beans and trail mix. For 3 pounds of jelly beans and 2 pounds of trail mix, the total cost is $11. For 5 pounds of jelly beans and 6 pounds of trail mix, the total cost is $23 . We have to find the cost for each pound of trail mix and each pound of jelly beans.

Let the cost of each pound of trail mix is $y.

and  the cost of each pound of jelly beans is $x.

According to question,

For   3 pounds of jelly beans and 2 pounds of trail mix, the total cost is $11.

⇒ 3x+2y=11  →  (1)

For 5 pounds of jelly beans and 6 pounds of trail mix, the total cost is $23

⇒ 5x+6y=23 →  (2)

Solving (1) and (2), we get

3(1 equation)-(2 equation)=0

⇒3(3x+2y)-5x-6y=3(11)-23

⇒9x+6y-5x-6y=10

hence,

⇒4x=10

⇒x=2.5

Putting x=2.5 in  3x+2y=11  we get ;

⇒  3x+2y=11

⇒  3(2.5)+2y=11

⇒  2y=11-7.5=3.5

⇒  y=1.75

Hence, the cost for each of jelly beans and each pound of trail mix is $2.5 and $1.75 .

6 0
3 years ago
F(x)=x^2-9x+2 evaluate f(-2)​
Anton [14]
I believe is your answer
Because u plug in -2 to all x
F(x)= (-2)^2-9(-2)+2
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4 0
3 years ago
Please help me it needs to be correct
dimaraw [331]

Answer:

4(3m^3-2m^2+4m+2)

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
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