solve for the measure of angle JKL in the diagram below? Show your work and explain the steps you used to solve

Answer:

they get  a 7/24th piece of cake.

Step-by-step explanation:

if we divide 3 1/2 by 12 we get 7/24

we use the 3 1/2 because that is how many cakes there are.
we use 12 because there are 12 boys that want to split the cake equally.

Hey ! Buddy

Find the value of x .

We have to find the value of x .

The concept of this question belongs to the sum of all the three interior angles of triangle i.e. sum of all the three interior angles of triangle is equal to 180° .

As we know that sum of all the three interior angles of triangle is equal to 180° . So ,

[tex] \rightarrow \: Angle \: 1 + Angle \: 2 \: + Angle \: 3= 180°[/tex]

Now , substituting values of Angle 1 , 2 and 3 :

[tex] \longmapsto \: x° + 43° + 36° = 180° [/tex]

Now , adding 43 and 36 in right hand side :

[tex] \longmapsto \: x° + 79° = 180° [/tex]

Now , transposing 79° to right hand side :

[tex] \longmapsto \: x° = 180° - 79° [/tex]

Now , subtracting 79° from 180° :

[tex] \longmapsto \: \pink{\boxed{ { \bold{x° = 101°}}}}[/tex]

Answer: B

Step-by-step explanation:

Answer:

2.5%

Step-by-step explanation:

Simple interest formula

I = Prt

where:

Given:

Substituting given values into the formula and solving for r:

⇒ 60 = 800 · r · 3

⇒ 60 = 2400r

⇒ r = 0.025

Converting r to percentage:

0.025 × 100% = 2.5%

Answer:

2.5%

Step-by-step explanation:

Given:

Formula:

Simple interest = (Principle × Rate × Time)/100

Substitute the principle, time and the interest in the formula to determine the rate of interest per annum.

[tex]\implies 60 = \dfrac{ (800 \times \text{Rate} \times 3)}{100}[/tex]

Divide 100 to 800 as 800 is the only number in the equation that is divisible by 100.

[tex]\implies 60 ={ (800 \div 100)\times \text{Rate} \times 3}[/tex]

[tex]\implies60 ={ 8\times \text{Rate} \times 3}[/tex]

Simplify both sides of the equation:

[tex]\implies60 ={ 24\times \text{Rate}}[/tex]

Divide both sides by 24.

[tex]\implies\dfrac{60}{24} =\dfrac{{ 24\times \text{Rate}}}{24}[/tex]

Simplify both sides as needed:

[tex]\implies\dfrac{60}{24} = \text{Rate}[/tex]

[tex]\implies\dfrac{60 \div 12}{24 \div 12} = \text{Rate}[/tex]

[tex]\implies \text{Rate} = \dfrac{5}{2} = 2.5[/tex]

Thus, the rate of interest per annum is 2.5%.

Answer:

Represents decay ( because .72 < 1  )

The amount decreases 72% each 'x' time period

Step-by-step explanation:

Answer:

C. dialtion

Step-by-step explanation:

A dialtion either reduces or enlarges the dimensions of a shape, causing for them to no longer be congruent.

A reflection wouldn't change the congruency of the shape since it is just reflecting it across whatever axis. The dimensions stay the same.

A rotation would simply rotate/turn the shape. The dimensions would not be changed.

A translation would slide the shape elsewhere whether it be vertically, horizontally, or diagonally. The dimensions would not change.

Therefore, we can conclude that option C makes the most sense.

hope this helps!

Answer: C

Step-by-step explanation:

This is a Pythagorean triple.

Answer:

39600

Step-by-step explanation

for the amount of minutes we'll multiply 11*60

11*60=660

for the amount of seconds we'll multiply the amount of minutes by 60 so

660*60=39600

Answer:

c

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

Not for sure sorry but i think its D or A so so sorry

Answer:

algebraically" whether a function is even or odd. To do this, you take the function and plug −x in for x, and then simplify. If you end up with the exact same function that you started with (that is, if f (−x) = f (x), so all of the signs are the same), then the function is even

Step-by-step explanation:

Even functions are symmetrical about the y-axis: f(x)=f(-x). Odd functions are symmetrical about the x- and y-axis: f(x)=-f(-x)

Answer:

[tex](x-6)^{2} +(y-7)^{2} =81[/tex]

Step-by-step explanation:

The general equation for a circle is

[tex](x-h)^{2}+(y-k)^{2}=r^{2}[/tex] where (h,k) is the center of the circle and r is the radius

Plug in the (6,7) for the center and 9 for r

The pair of algebraic expressions which are like terms is; 20x and 0.8x.

Algebraic expressions are pronounced as like terms if the terms contain the same variable raised to the same exponent.

check all options:

20x, 0.8x

same variable and exponent

17, 3x

Not same variable

14x, 14x²

Same variable, not same exponent

0.5x, 0.5y

Not same variable

On this note, it follows that the terms 20x and 0.8x are like terms.

Read more on like terms;

https://brainly.com/question/480769

Answer:

yes, we can write zero in the form of p/q.

[example] that is 0/3, 0/5...

Answer:

200

Step-by-step explanation:

156.7

since the number before the hundred is more than 4

it becomes 200

Answer:

→ Compare the 2 grade A's

School B's is higher

→ Compare the 2 grade B's

School B's is higher

→ Now formulate a brief response

School B has more entrants in the exam and therefore has a higher proportion of students achieving top grades

Answer:

1/32  lb per slice

Step-by-step explanation:

We want the pounds per slice, or lb/slice.

We have 0.25 lbs and 8 slices, so:  (0.25 lb/8 slices)

(0.25 lb/8 slices) = (1/8)(0.25)

(1/8)(0.25)(4/4) = 1/32 lb per slice

Check:

(8 slices)*(1/32 lb/slice) = 8/32 lb

8/32 = 1/4 lb total  YES

Answer:

Step-by-step explanation:

so, 50+75=125.

180-125=55.

There can be-

130, 95, and 125

Answer:

1/2

Step-by-step explanation:

It appears to be 1/2 because the areas labeled "parrots" and "sparrows" takes up half of the pie chart. hope this helped!

Answer: the answer is 1 over 2 as a fraction

Step-by-step explanation:

Answer:

answer 436 tubig is water halimaw is monster ang Ganda mo Sana kaso ang height mo pang kinder

Step-by-step explanation:

answer is 436 I hope it helps

Answer:

D, n=16b

Step-by-step explanation:

There are 16 busses, each of which can hold 16 seats. There are n of those busses.

Therefore, 16*n = the total number of seats on the busses altogether.

well, she put 130 bucks, and then she got back 132.6 after one year, so the interest earned is 132.6 - 130 = $2.6, thus

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$2.60\\ P=\textit{original amount deposited}\dotfill & \$130\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &1 \end{cases} \\\\\\ 2.60 = (130)(\frac{r}{100})(1)\implies 2.6=\cfrac{130r}{100}\implies 260=130r \\\\\\ \cfrac{260}{130}=r\implies 2=r[/tex]

Answer:

yes

Step-by-step explanation:

The shape is not normal since the sample size (6) is less than 30.

The mean and standard deviation of the sample distribution is 39, and 0.82 repectively

The normal distribution is a distribution that is symmetric about the mean and has a bell shaped curve.

Given that

n = 6, mean = 39 and standard deviation o = 2.

Hence:

The shape is not normal since the sample size (6) is less than 30.

The mean of the sample distribution = 39, the standard deviation of the sample distribution = 2/√6 = 0.82

Find out more on normal distribution at: https://brainly.com/question/4079902

Mode is the number that is shown the most.

Answer: 1. Most

Answer: 75$

Step-by-step explanation:

1/4 is equal to 25/100.

meaning that 1/4 is 25 out of 100.

Based on that, if we subtract 25 from 100 we get 75.

Answer:

4 years

Step-by-step explanation:

basically, multiple 16,250 by 107.9%, get the product and multiply that product by 107.9%+ 7.9% and keep on doing that until you eventually get to about 33,000 which is a bit more than double 16,250 but 4 years is still the minimum years it will take to get AT LEAST double. :)

Answer:

22 MPG

Step-by-step explanation:

The miles and the gallons result in the formula Miles per gallon. Which can be substituted as (341 miles) per (15.5 gallons). If you simplify it, the result is  22miles per gallon.

Answer:

4a²-8a+4

Step-by-step explanation:

[tex](2a-2)^{2} =(2a-2)(2a-2)[/tex]

[tex](2a-2)(2a-2) = 4a^{2} -4a-4a+4[/tex]

[tex]4a^{2} -4a-4a+4=4a^{2} -8a+4[/tex]

Answer:

the answer is 725.71

Step-by-step explanation: