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3 years ago

Need help with this geometry

Mathematics

1 answer:

Rasek [7]3 years ago

3 0

Answer:

y = 2

Step-by-step explanation:

The mid segment HJ is half of the third side GK , that is

HJ = $\frac{1}{2}$ GK , substitute values

2y = $\frac{1}{2}$ (y + 6) ← multiply both sides by 2 to clear the fraction

4y = y + 6 ( subtract y from both sides )

3y = 6 ( divide both sides by 3 )

y = 2

You might be interested in

1/3 (x+2)=-2/5 (x-9) and x=4

MAXImum [283]

Answer:

2 = 2 (Identity)

Step-by-step explanation:

1/3 (x+2)=-2/5 (x-9) and x=4

Follow distributive property

1/3x + 2/3 = -2/5x + 18/5

Replace x for 4

1/3(4) + 2/3 = -2/5(4) + 18/5

4/3 + 2/3 = -8/5 + 18/5

Add like terms

6/3 = 10/5

Simplify

2 = 2

Also known as Identity

8 0

4 years ago

Please help asap, brainliest,thanks, and 50 points. Thank you soooo much! <3

Anuta_ua [19.1K]

Answers:

1) $x^{8} y^{8}$

2) $y^{3} \sqrt{y}$

3) $5x^{4} \sqrt{6}$

4) $\sqrt{7}$

5) $\frac{\sqrt{z}}{z}$

Step-by-step explanation:

1) $\sqrt{x^{16} y^{36}}$

Rewriting the expression:

$(x^{16} y^{36})^{\frac{1}{2}}$

Multiplying the exponents:

$x^{\frac{16}{2}} y^{\frac{36}{2}}$

Simplifying:

$x^{8} y^{8}$

2) $\sqrt{y^{7}}$

Rewriting the expression:

$\sqrt{y^{6} y}=(y^{6} y)^{\frac{1}{2}}$

Multiplying the exponents:

$y^{\frac{6}{2}} y^{\frac{1}{2}}$

Simplifying:

$y^{3} y^{\frac{1}{2}}=y^{3} \sqrt{y}$

3) $\sqrt{150 x^{8}}$

Rewriting the expression:

$\sqrt{(6)(25) x^{8}}$

Since $\sqrt{25}=5$ :

$5x^{4}\sqrt{6}$

4) $\frac{7}{\sqrt{7}}$

Multiplying numerator and denominator by $\sqrt{7}$ :

$\frac{7}{\sqrt{7}} (\frac{\sqrt{7}}{\sqrt{7}})=\frac{7}{7\sqrt{7}}$

Simplifying:

$\sqrt{7}$

5) $\frac{5z}{\sqrt{25 z^{3}}}$

Rewriting the expression:

$\frac{5z}{5z \sqrt{z}}$

Simplifying:

$\frac{1}{\sqrt{z}}$

Since we do not want the square root in the denominator, we can multiply numerator and denominator by $\sqrt{z}$ :

$\frac{1}{\sqrt{z}}(\frac{\sqrt{z}}{\sqrt{z}})$

Finally:

$\frac{\sqrt{z}}{z}$

3 0

4 years ago

If Subway sells turkey sandwiches for $3.79 each, how many sandwiches can you buy for your 6 friends to share with $20.00

Sophie [7]

3.75 each, 6 friends, $20. 6 multiplied by 3.75 is 18.75. you can buy 5 sandwiches

4 0

3 years ago

5. Which will result in a positive number?

abruzzese [7]

So the right answer is of option D.

Look at the attached picture

Hope it will help you

8 0

3 years ago

Read 2 more answers

Last month, gianni used 6GB out of 8GB included in his cell phone plan. Lamar used 4GB out of 5GB included in his cell phone pla

anygoal [31]

Answer:

Lamar used a greater percent in their data (75%)

Step-by-step explanation:

If Gianni used 6 out of 8 and Lamar 4 out of fie we need to calculate the perecentages:

GIANNI:

If 8GB ---> 100%

6GB ----> X

we do the ecuation and the result is 75%

LAMAR:

If 5GB -----> 100%

4GB ------> X

we do again another ecuation. The result is 80%

solution: Lamar used a greater percent in his data. (80%)

6 0

3 years ago