A triangle ABC is right angled at A, AL is perpendicular to BC. Prove that angle BAL= angle BCA.

​

Answer:

0.1

Step-by-step explanation:

r = y/x

r = 1.4 / 14 = 0.1

Answer:

It will take approximately 25 months

Step-by-step explanation:

The amount owed on the credit card statement, P = $2,000

The interest rate of the credit on the credit card, r = 18.9%

The minimum monthly payment made, M = $100

The equal monthly installment formula is given as follows;

[tex]M = \dfrac{P \cdot \left(\dfrac{r}{12} \right) \cdot \left(1+\dfrac{r}{12} \right)^n }{\left(1+\dfrac{r}{12} \right)^n - 1}[/tex]

Therefore, we get;

[tex]100 = \dfrac{2,000 \cdot \left(\dfrac{0.189}{12} \right) \cdot \left(1+\dfrac{0.189}{12} \right)^n }{\left(1+\dfrac{0.189}{12} \right)^n - 1} = \dfrac{2,000 \times\left(0.01575 \right) \cdot \left(1.01575 \right)^n }{\left(1.01575\right)^n - 1}[/tex]

100×1.01575ⁿ - 100 = 31.50×1.01575ⁿ

100×1.01575ⁿ - 31.50×1.01575ⁿ = 100

68.5×1.01575ⁿ = 100

1.01575ⁿ = 100/68.5

n = ln(100/68.5)/ln(1.01575) ≈ 24.21 (which is approximately 25 months, by rounding up to the nearest whole number)

Therefore, it will take approximately 25 months to pay off the credit card debt

Answer:

D

Step-by-step explanation:

The answer is D because the pattern adds one angle every one shape. Ex. Triangle, Rectangle, Pentagon, Hexagon

An absolute value graph looks like a V. If the number attached to the x is positive, then the graph opens upwards. If the number attached to the x is negative, then the graph opens downwards.

In this case, the graph opens downwards.

To find the vertex, look at the |x - 1| part of the equation. This tells us that x is shifted 1 to the right (opposite of the sign). And, the 3 outside of the absolute value bars tells us that the graph is also shifted up 3. Therefore, the vertex is (1, 3).

Next, we need to figure out how to graph it. That's where the -2 in front comes in. We know the graph faces downwards already. So, from the vertex, we will go down 2 spaces and left or right 1 depending on the side you are working on. Continue this pattern just like you would graphing the slope of a regular line, but this one is two sided.

If you need to view the graph for further help, I would recommend an online graphing calculator such as Desmos.

Hope this helps!

Answer:

24 [tex]m^{2}[/tex]

Step-by-step explanation:

Area of parallelograms is :

A = b x h

The height must be a line perpendicular to the base.

The slant measuring 5 is not perpendicular to the base.

A = 6 x 4

A = 24

Answer:

pls give brainliest even if u dont want to. it will make u better person. when u give brainliest it makes u 3 times smarter

Step-by-step explanation:

Smith overtakes the bus at (2/3)×60=40 minutes

A body is said to have speed v if he travels v distance in unit time.

Suppose that Smith overtakes the bus at a time 't'. Then the distance traveled by bus is 48×t m and that by Smith is 64×(t-1/6).

Smith needs t-1/6 hours to reach the same position that the bus is in.

Since Smith leaves ten minutes later hence it takes t-1/6 hours for him to overtake the bus.

Because 10 minutes is equal to 10/60=1/6 hour.

So,

48×t=64×(t-1/6)

⇒t=2/3

Hence, Smith overtakes the bus at (2/3)×60=40 minutes

Learn more about speed and distance here-

brainly.com/question/12759408

#SPJ2

Answer:

21x^7y^11.

Step-by-step explanation:

:D

Answer:

=x^2 +4x+11

Step-by-step explanation:

f(x) = x^2 + 7,

Replace x with x+2

f(x+2) = (x+2)^2 + 7

         = (x+2)(x+2) +7

     FOIL

     = x^2 +2x+2x+4 +7

Combine like terms

    =x^2 +4x+11

Answer:

[tex]f(x+2)=x^2+4x+11[/tex]

Step-by-step explanation:

In [tex]f(x)=x^2+7[/tex], for all values of [tex]x[/tex], we substitute [tex]x[/tex] (what is in the parentheses) into [tex]x^2+7[/tex] to output a [tex]y[/tex] value.

In [tex]f(x+2)[/tex], the term [tex](x+2)[/tex] is in the parentheses. Therefore, substitute [tex](x+2)[/tex] for [tex]x[/tex] in [tex]x^2+7[/tex] to find [tex]f(x+2)[/tex]:

[tex]f(x+2)=(x+2)^2+7[/tex]

Expand using [tex](a+b)^2=a^2+2ab+b^2[/tex],

[tex]f(x+2)=x^2+4x+4+7[/tex]

Combine like terms:

[tex]\boxed{f(x+2)=x^2+4x+11}[/tex]

Answer:

The first one and last one

Step-by-step explanation:

Answer:

1,2,5

Step-by-step explanation:

got it right on edge

Answer:

(x-11)(x-12)

Step-by-step explanation:

To clarify, there was a likely typo written in your question since it is impossible to solve two unknown values with only one equation. I'm supposing that the equation was supposed to be

[tex] {x}^{2} - 23x + 132[/tex]

The first step is to split the term into factorable terms.

Since the highest power is power of 2, the equation would look like this if factorized:

[tex](ax + b)(cx + d)[/tex]

If the terms were added properly, the expanded equation would be:

[tex](ac \times {x}^{2} ) +( (ad + bc) \times x) + (bd)[/tex]

Generally, we do not see decimal values or fractions in factorization with some exceptions. Otherwise, the equation could get very complicated.

In this case, we can determine the following:

[tex]a \times c = 1[/tex]

[tex](a \times d) + (b \times c) = - 23[/tex]

[tex]b \times d = 132[/tex]

First, we can determine a and c to be one since one only has one factor, which is itself.

This leaves us with two equations left

[tex]b + d = - 23[/tex]

[tex]b \times d = 132[/tex]

There are two ways to solve the remaining two terms. We can either find the factors or do quadratic equation. Finding the factors is the easier way out here.

b and d will add up to negative values but multiplying these values give positive values. The most likely reason is that b and d are negative values.

Now, we can find the factors of 132.

The factors are 1, 2, 3, 4 , 6, 11, 12, 22, 33, 44, 66 and 132. However, the values flip around.

In fact, the "factors" we are looking for are the negative values of the actual factors. To solve this, we should find two factors that add up to 23.

In this case, 11+12=23.

To verify, 11*12 is also 132.

Since we are looking for the negative values, the values we are looking for are -11 and -12.

The values can be plugged in anywhere in b or d.

After cleaning up, we can plug in the values into our factorization and we will get:

[tex](1x - 11)(1x - 12)[/tex]

or

[tex](x - 11)(x - 12)[/tex]

Answer:

35 miles

Step-by-step explanation:

You add all of the miles on the chart up to get a final answer of 35 miles. Have a great day!

Answer:

b=(-10-a)/4

First factor out the common number:3

Then divide both sides by 3

Then simplify 30/3 to 10

Then subtract a to get your answer

Answer:

180=170+4x

180-170=4x

10=4x

2.5=x

Answer:

abcdefghijklmnopqrstuvwxyz

Answer:

yes

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 3 and c = - 4 , then

y = - 3x - 4 ← is the equation of the line

To determine if (- 2, 2) lies on the line, substitute x = - 2 into the equation and if y equals 2 then the point lies on the line.

y = - 3(- 2) - 4 = 6 - 4 = 2 ← true

Then the line passes through (- 2, 2 )

The first one because there is only one y value for every x value. The correct option is first.

To determine if a relation is a function, use the vertical line test: If any vertical line intersects the graph of the relation at more than one point, then the relation is not a function. On the other hand, if every vertical line intersects the graph of the relation at most once, then the relation is a function.

In first relation is considered a function, because each input x-value is associated with exactly one output y-value. In other words, for every x-value in the domain of the relation, there can be only one corresponding y-value in the range. Each x-value should not have more than one y-value associated with it.

Therefore, each x-value should not have more than one y-value associated with it. The correct option is first.

Learn more about Function here:

https://brainly.com/question/31062578

#SPJ6

Answer:

amount of your paycheck is the correct answer because the summation of all check paid to me will be my net earning.

Answer:

54.7 mm

Step-by-step explanation:

use the formula area= 1/2 base time height

A=1/2bh

Answer:

54.7mm

Step-by-step explanation:

Area=1/2b×h

218.8=0.5×8×h

218.8=4h

h=218.8÷4

h=54.7

Given:

a. 35% of 150 g

b. 113% of $55

To find:

The correct values for the given blanks.

Solution:

a. 35% of 150 g

Here, the percent part is 35% and percent whole is 100%.

35% of 150 g is:

[tex]\dfrac{35}{100}\times 150=52.5[/tex]

So, the number part is 52.5 g and the whole number is 150 g.

Therefore, the percent part is 35%, number part is 52.5 g and the whole number is 150 g.

b. 113% of $55 g

Here, the percent part is 113% and percent whole is 100%.

113% of $55 is:

[tex]\dfrac{113}{100}\times 55=62.15[/tex]

So, the number part is $62.15 and the whole number is $55.

Therefore, the percent part is 113%, number part is $62.15 and the whole number is $55.

Answer:

117,000

Step-by-step explanation:

45% of 260,000

= 9/20 of 260000

= 260000/20 =13000

= 13000*9

= 117,000

So the amount of people who are not alive is 117000

The expected number of 45-year old people in Apex Ville expected to not be alive in one year is 819.

The expected value of a discrete random variable X, denoted as E(X), is also known as the long-term average or mean (denoted as ). This means that if you repeat an experiment over and over, you can expect this average.

The projected number of 45-year-olds in Apexville who will die in one year is calculated by multiplying the proportion of individuals who are predicted to die by the number of 45-year-olds, which is 260,000.

According to the table at the end of the answer, the proportion of 45-year-olds who are not anticipated to live another year is:

= 315/100,000.

So, the expected number of deaths in the year is

E(X) = 260,000 x 315/100,000

E(X) = 2.6 x 315

E(X) = 819.

Learn more about expected value here:

brainly.com/question/24372153

#SPJ3

Answer:

the first one

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Answer: 16

Step-by-step explanation:

75=75/100=3/4

3/4*b=12

b=12/1*4/3

Answer:

B. Two-thirds x + 17

Step-by-step explanation:

Let

x = number of baseball cards his brother has

two-thirds of the number of cards in his brother's baseball card collection = 2/3x

Barry = 2/3x + 17

A. Two-thirds x minus 17

= 2/3x - 17

B. Two-thirds x + 17

= 2/3x + 17

C. 17 x minus two-thirds

= 17x - 2/3

D. 17 x + two-thirds

= 17x + 2/3

The correct answer is

B. Two-thirds x + 17

Answer:

It's B

Step-by-step explanation:

I got a 100 on my test

Answer:

The possible values of W are 5, 6, and 7.

Step-by-step explanation:

Since at her gym, Ximena spends 30 minutes on each aerobic workout and 20 minutes on each weight-lifting workout, and last week, Ximena spent between 190 and 230 minutes, inclusive, on 3 aerobics workouts and W weight-lifting workouts, to determine what is one possible value of W the following calculation must be performed:

190 - (3 x 30) = X

190 - 90 = X

100 = X

100/2 = 5

140/2 = 7

Therefore, the possible values of W are 5, 6, and 7.

Answer:

0.000081

=8.1x10-⁵

0.0000386

=3.86x10-⁵

see in picture

Answer:

35

Step-by-step explanation:

The exterior sum theorem states the exterior angle is equal to the sum of the opposite interior angles

145 = ?+110

145 - 100 = ?

35 = ?

Answer:

f) 11

g) 75

please correct me if I am wrong

Answer:  90,  and 1600 degrees.2500

Step-by-step explanation:

If the angles are proportional to 3, 4, 5,Then the angle measures are 3x, 4X and 5X

Step-by-step explanation:

Answer:

45  60  75

Step-by-step explanation:

Let's call the angles 3 x , 4 x and 5 x

They must add up to 180 o in a triangle, so:

3 x + 4 x + 5 x = 12 x = 180 → x = 180 / 12 = 15 So the angles are:

3 ⋅ 15 = 45 o 4 ⋅ 15 = 60 o 5 ⋅ 15 = 75 o Check answer:

45 + 60 + 75 = 180

Answer:

D (4, 2)

Step-by-step explanation:

adding equation 1 and 2,

5x = 20

x = 4

Hence y = 2

Hence its D

Answer:

b (5,3)

Step-by-step explanation: