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3 years ago

I need to find AB and DE

Mathematics

1 answer:

MatroZZZ [7]3 years ago

4 0

Answer:

AB = 21 and DE = 23

Step-by-step explanation:

Given 2 intersecting chords inside the circle then

The products of the measures of the parts of one chord is equal to the products of the measures of the parts of the other chord, that is

x(x + 13) = (x + 10)(x + 1) ← distribute parenthesis on both sides

x² + 13x = x² + 11x + 10 ← subtract x² + 11x from both sides

2x = 10 ( divide both sides by 2 )

x = 5

Hence

AB = x + 10 + x + 1 = 2x + 11 = (2 × 5) + 11 = 10 + 11 = 21

DE = x + x + 13 = 2x + 13 = (2 × 5) + 13 = 10 + 13 = 23

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The monthly cost in dollars of a long distance phone plan is a linear function of the total calling time in minutes. The monthly

Deffense [45]

Answer:

The monthly cost for 45 minutes is $18.42

Step-by-step explanation:

Let

x -----> the total calling time in minutes

y ----> the monthly cost in dollars

we have the ordered pairs

(42,18.15) and (90,22.47)

step 1

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{22.47-18.15}{90-42}$

$m=\frac{4.32}{48}$

$m=\$0.09\ per\ minute$

step 2

Find the linear equation in point slope form

$y-y1=m(x-x1)$

we have

$m=0.09\\(x1,y1)=(42,18.15)$

substitute

$y-18.15=0.09(x-42)$

step 3

Find the monthly cost for 45 minutes of calls

For x=45 min

substitute the value of x in the linear equation and solve for y

$y-18.15=0.09(45-42)$

$y-18.15=0.09(3)$

$y-18.15=0.27$

$y=0.27+18.15$

$y=18.42$

therefore

The monthly cost for 45 minutes is $18.42

3 0

3 years ago

franklin school has 3 boys for every 4 girls in the fifth grade. there are 140 students in the 5th grade. How many boys are ther

marin [14]

Answer:

There are 60 boys and 80 girls in Franklin School.

Step-by-step explanation:

"franklin school has 3 boys for every 4 girls in the fifth grade." means that the ratio of boys to girls is: 3:4

It can also be written as 3/4

Also given

Total number of students: 140

We will use ratios to find the number of boys and girls in shool.

First of all, we have to calculate the sum of ratio which is: 3+4 = 7

Let b be the number of boys and g be the number of girls

Then

$b = \frac{Ratio\ of\ boys}{Sum\ of\ ratio} * Total\ students\\= \frac{3}{7} * 140\\= 3*20\\=60\\g = \frac{Ratio\ of\ girls}{Sum\ of\ ratio} * Total\ students\\g = \frac{4}{7}*140\\= 4*20\\=80$

Hence,

There are 60 boys and 80 girls in Franklin School.

3 0

3 years ago

What set of transformations is performed on triangle ABC to form triangle A′B′C′?

Simora [160]

Answer: A translation 5 units down followed by a 180-degree counterclockwise rotation about the origin .

Step-by-step explanation:

From the given figure, the coordinates of ΔABC are A(-3,4), B(-3,1), C(-2,1) and the coordinates of ΔA'B'C' are A'(3,1), B'(3,4), C'(2,4).

When, a translation of 5 units down is applied to ΔABC, the coordinates of the image will be

Then applying 180° counterclockwise rotation about the origin, the coordinates of the image will be :-

which are the coordinates of ΔA'B'C'.

Hence, the set of transformations is performed on triangle ABC to form triangle A’B’C’ is " A translation 5 units down followed by a 180-degree counterclockwise rotation about the origin ".

4 0

3 years ago

12) PLS HELP ASAP<br><br><br>BRAINLIEST AND 10 + POINTS :)

puteri [66]

Answer:

the first one

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Express 11011 in base two

WITCHER [35]

Answer:

Step-by-step explanation:

Hello,

11011 in base 2 is

1 * 16 + 1 * 8 + 0 * 4 + 1 * 2 + 1 in base 10

which is 16 +8+2+1=27

Do not hesitate if you have any question

8 0

3 years ago

I need to find AB and DE​

I need to find AB and DE