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2 years ago

Instructions: Problem 1 ! Find the missing angle in the image below. Do not include spaces in your answers

Mathematics

1 answer:

sweet-ann [11.9K]2 years ago

5 0

Answer:

40 degrees

Step-by-step explanation:

The 100 degree angle is supplementary to angle CED. This means CED will end up being 80 degrees. Since the angles in all triangles equate to 180 degrees 80 + 60 + angle D must equal 180 degrees. Therefore, angle D has to be 40 degrees.

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PLease help with this fast

lilavasa [31]

It is B that your looking for

5 0

3 years ago

Read 2 more answers

In the system of equations, r and s are constants. If the system has infinitely many solutions, what is the value of rs?

exis [7]

Answer: B) -48

Step-by-step explanation:

If the system of two linear equations $a_1x+b_1y=c_1\ \&\ a_2+b_2y=c_2$ has infinitely many solutions , then

$\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}=k$

For the given system of linear equations : $rx-sy=26\\4x+3y=13$

We , will have

$\dfrac{r}{4}=\dfrac{-s}{3}=\dfrac{26}{13}=2\\\\\Rightarrow\ r= 4\times2=8\ \ \&\ \ s=2\times-3=-6$

The value of $rs=(8)\times-6=-48$

Hence, the value of rs is -48.

Thus , the correct option is B) -48.

6 0

3 years ago

You jog 2 kilometers in 12 minutes. Your friend jogs 3 kilometers in 16.5 minutes. Who jogs faster? You jog faster. Your friend

Darya [45]

Answer:

a) Who jogs faster?

Your friend jogs faster because he jogs with a speed of 10.91 km/hr

Step-by-step explanation:

Speed = Distance(km)/Time(hours)

Question 2 How much sooner will the faster jogger finish a five-kilometer race?

Your friend's will finish a 5km race at a speed of 18.18 km/hr

Your speed is :

You jog 2 kilometers in 12 minutes.

Convert 12 minutes to hours

60 minutes = 1 hour

12 minutes = x

x = 12/60

x = 1/5 hour

Your speed is calculated as:

2km/1/5hour

= 2 km ÷ 1/5 hour

= 2 × 5

= 10 km/hr

Your friend's speed is calculated as:

Your friend jogs 3 kilometers in 16.5 minutes.

Convert 16.5 minutes to hours

60 minutes = 1 hour

16.5 minutes = x

x = 16.5/60

x = 0.275 hour

Your speed is calculated as:

3km/0.275 hour

= 10.909090909 km/hr

Approximately = 10.91km/hr

a) Who jogs faster?

Your friend jogs faster because he jogs with a speed of 10.91 km/hr

Question 2 How much sooner will the faster jogger finish a five-kilometer race?

Your friend jogs faster, hence:

3 km = 10.91 km/hr

5km = x

x = 5 × 10.91/3

x = 18.183333333 km/hr

Your friend's will finish a 5km race at a speed of 18.18 km/hr

4 0

2 years ago

Steven wants to increase the number of books he reads per year. He currently reads 2 books a year. He wants to triple the number

Sladkaya [172]

Answer:

$B=2\times 3^n$

Step-by-step explanation:

<u>Exponential Growing </u>

Steven currently reads 2 books a year. He wants to triple the number of books read per year. The first year he should read

$2*3 = 6\ books$

By the second year, he should read

$2*3^2 = 18\ books$

By the third year, he should read

$2*3^3 = 54\ books$

We can clearly see there is a geometric progression of the number of books he should read for the year n. The general formula is, being B the number of books read at the year n

$\boxed{B=2\times 3^n}$

8 0

3 years ago

4.5 - d > 2.5 substitute 2.5 for d

den301095 [7]

Answer:

so whats the question?

Step-by-step explanation:

5 0

2 years ago