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2 years ago

Find the value of x. 6 14 8 0 21 x = [ ? ] 3x-12

Mathematics

1 answer:

love history [14]2 years ago

4 0

Answer: 7

Step-by-step explanation:

By the angle bisector theorem,

$\frac{21}{14}=\frac{3x-12}{6}\\21(6)=14(3x-12)\\126=14(3x-12)\\9=3x-12\\21=3x\\x=\boxed{7}$

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When a baby panda is born, it is 6cm in length. Every week after this, its size increases by 5 cm. Write an equation in slope in

Neporo4naja [7]

Answer:

56cm, y=5x+6

Step-by-step explanation:

The baby panda's initial or starting length is 5cm. This is the y-intercept or b value. We also know that the panda increases every week by 5 cm. This is the rate of change or slope. This is m. We can write in slope-intercept form y=mx+b.

y=5x+6

We substitute x=10. y=5(10)+6=56cm

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3 years ago

Hector is dividing students into groups for an HR wants to divide the boys and girls so that each group has the same number of t

Roman55 [17]

Answer:

7 groups, 3 boys and 8 girls

Step-by-step explanation:

Let total number of groups be $x$

and total hikers in one group be $y$

if number of girls and boys in every group is same, then

$\frac{21}{x} + \frac{56}{x} = y$

$\frac{21 + 56}{x} = y\\x*y = 77$ ....(1)

from (1) $x$ will either be 11 or 7

for $x = 11$ the values won't be real.

For $x = 7\\y = \frac{77}{7} \\y = 11$

so there will be 7 groups with 11 hikers in each groups and every group will have $\frac{21}{7} = 3$ boys and $\frac{56}{7} = 8$ girls

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3 years ago

Write 16/24 in simplest form

Debora [2.8K]

8/12. 4/6. 2/3 is the simplest. Just keep dividing it down until you can't divide anymore:)

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3 years ago

What is the length of the diagonal?

Anon25 [30]

The answer is $16\sqrt{8}$ i hope this answer helps you!

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