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3 years ago

DNS ~ ARH What is the value of x?

Mathematics

1 answer:

ZanzabumX [31]3 years ago

6 0

Corresponding angles are congruent (same measure)So in the figure above, the angle P=P', Q=Q', and R=R'.Corresponding sides are all in the same proportionAbove, PQ is twice the length of P'Q'. Therefore, the other pairs of sides are also in that proportion. PR is twice P'R' and RQ is twice R'Q'.
so the value of x :
x / 110 = 21.6 / 72
solve for x
x = 33

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Mashcka [7]

To solve this we are going to use the formula for compounded interest: $A=P(1+ \frac{r}{n})^{nt}$
where
$A$ is the final amount after $t$ years
$P$ is the initial amount
$r$ is the interest rate in decimal form
$n$ is the number of times the interest is compounded per year
$t$ is the time in years

We know for our problem that $P=1380$ , $r= \frac{5}{100} =0.05$ , and $t=3$ . Since the interest is compounded daily, it is compounded 365 times in year; therefore, $n=365$ . Lets replace those values in our formula to find $A$ :
$A=P(1+ \frac{r}{n})^{nt}$
$A=1380(1+ \frac{0.05}{365})^{(365)(3)}$
$A=1603.31$

We can conclude the amount in Diane's after 3 years will be $1,603.31

4 0

3 years ago

What is the slope intercept of the equation of the line through the given point (0,3) and (-4,-1)

cestrela7 [59]

Answer:

y=x+3

Step-by-step explanation:

1.) Find slope

slope = (-1-3)/(-4-0)

= -4/-4

= 1

2.) Use point slope form

y-y1= m (x-x1)

both x1 and y1 are the points

m is the slope

3.) Plug in the numbers

for the points I chose (0,3) to plug in

y-3= 1 (x1-0)

y-3= x

y= x+3

8 0

2 years ago

Graham graphs the following system of equations to determine its solution.

V125BC [204]

Answer: (2,2)

Step-by-step explanation:

I'm going to use substitution to solve this:

First, I use the second equation to solve for y in terms of x.

2x - y = 2

-y = 2 - 2x

y = 2x - 2

Then, I plug the value for y into the first equation:

2x + 4y = 12

2x + 4(2x - 2) = 12

2x + 8x - 8 = 12

10x - 8 = 12

10x = 20

x = 2

Now that we have x, we can plug it into either equation (I used the first) to get the value for y:

2x + 4y = 12

2(2) + 4y = 12

4 + 4y = 12

4y = 8

y = 2

We get the point (2,2) as a solution.

Note: This is the point where both lines intersect.

3 0

2 years ago

Write 430 ___minutes after ____thrity

Luda [366]

It can be anyways..400 minutes after 30 or 30 minutes after 400

7 0

3 years ago

Read 2 more answers

Plsss help no one answered the other times I put this question

svetlana [45]

Answer:

a) The equation (10s + 8w) represents the calories Bridget ate on Monday and the equation (20s + w) represents the calories she ate the next day.

b) The number of calories in each strawberry is 4 and the number of calories in each vanilla wafer cookie is 19. The solution is s= 4 and w = 19.

Step-by-step explanation:

For part A, Bridget ate 10 strawberries and 8 vanilla wafer cookies on Monday. Since the the number of calories in a strawberry is s and the number of calories in a vanilla wafer cookie is w , the number of calories Bridget ate on Monday is 10s + 8w. The next day, Bridget ate 20 strawberries and 1 vanilla wafer cookie. Hence, the number of calories Bridget ate on the next day is 20s + w.

For part B,

we will create two different simultaneous equations.

Equation 1: 10s + 8w = 192

Equation 2: 20s + w = 99

We need to find one of the terms first to solve the other term. For this case, I will solve for w first.

Multiply the first equation by 2.

Equation 3: 20s + 16w = 192*2 = 384.

Now, subtract equation 2 from this new equation.

Equation 4:

(20s + 16w) - (20s + w) = 384 - 99

20s + 16w - 20s - w = 285

15w = 285

This leaves only w left and we can solve w.

w = 285 / 15 = 19

Now, we can solve for s using equation 2.

20s + 19 = 99

20s = 99-19 = 80

Hence,

s = 80/20 = 4

7 0

2 years ago