All categories

2 years ago

Solve similar triangles (advanced)

Mathematics

1 answer:

Eddi Din [679]2 years ago

3 0

Triangles ABC and ADE are similar, meaning that
AB/BC=AD/DE
6/5=(6+x)/14
84/5=6+x
X=10.8
So x=10.8

You might be interested in

Find the equation of a line in slope intercept form that is perpendicular to the line y = 2x + 6 through the point (10,4)

dalvyx [7]

The equation of the straight line is y = -1/6(x - 10) + 4

<h3>How to determine the line equation?</h3>

The equation is given as:

y = 2x + 6

Linear equations are represented as:

y = mx + c

Where:

Slope = m

So, we have:

m = 6

The slopes of perpendicular lines are represented as:

n = -1/m

So, we have:

n = -1/6

The equation is then represented as:

y = n(x - x1) + y1

This gives

y = -1/6(x - 10) + 4

Hence, the equation of the straight line is y = -1/6(x - 10) + 4

Read more about linear equations at:

brainly.com/question/14323743

#SPJ1

6 0

2 years ago

Halp me plz i stuck for so long (its part b)

vovangra [49]

The school can expect to raise 1500p for charity.

<u>Explanation:</u>

(a)

The possibility space is solved in the image attached.

(b)

20p for each player

30p for lollipop

Number of people = 120

Charity amount = ?

Out of 12 outcomes, the probability of getting 7 is 3

So, probability of getting 7 for 120 people = $\frac{3}{12} X 120$

= 30

Money earned from the players = 20p X 120

= 2400p

Cost of 30 lollipops = 30p X 30

= 900p

Money received for charity = 2400p - 900p

= 1500p

Therefore, the school can expect to raise 1500p for charity.

7 0

3 years ago

Convert to length 2.1 cm to mm

Anastasy [175]

Here we need to convert 2. 1 cm to mm .

And for that we will use the following conversion .

1cm = 10 mm

So for 2.1 cm, we will multiply 2.1 and 10 to convert it to mm. Therefore 2.1 cm = 2.1* 10mm = 21mm

And that's the required answer .

7 0

4 years ago

Which applies the power of a product rule to simplify (5 t) cubed?

Elena L [17]

Answer:

(5 t ) cubed = 5 cubed . t cubed = 125 t cubed applies the power of a product rule to simplify (5 t) cubed ⇒ 3rd answer

Step-by-step explanation:

Let us revise some rules of exponents

$a^{m}$ × $a^{n}$ = $a^{m+n}$

$a^{m}$ ×÷ $a^{n}$ = $a^{m-n}$

$(a^{m})^{n}$ = $a^{m.n}$

$(a.b)^{m}$ = $a^{m}$ . $b^{m}$

To simplify $(5t)^{3}$

∵ 5t means 5 × t

∵ Both of them are cubed

- Use the 4th rule above

∴ $(5t)^{3}$ = $(5)^{3}.(t)^{3}$

∵ (5)³ = 5 × 5 × 5 = 125

∴ $(5t)^{3}$ = $(5)^{3}.(t)^{3}$ = 125 t³

(5 t ) cubed = 5 cubed . t cubed = 125 t cubed applies the power of a product rule to simplify (5 t) cubed

3 0

4 years ago

Read 2 more answers

mr.corter and Torres need two buses to drive their classes to the amusement park each class needs money to rent a bus and $20 to

Dovator [93]

The answer would be $100. Equation is 2(m+20)=240.

Hope this helped you.

8 0

3 years ago

Read 2 more answers