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3 years ago

If an angle is 10 degree less than its complement, find the angle.

Mathematics

1 answer:

GrogVix [38]3 years ago

3 0

Let one be x

Other one is x-10

ATQ

$\\ \sf \longmapsto x+x-10=90$

$\\ \sf \longmapsto 2x-10=90$

$\\ \sf \longmapsto 2x=90+10$

$\\ \sf \longmapsto 2x=100$

$\\ \sf \longmapsto x=\dfrac{100}{2}$

$\\ \sf \longmapsto x=50$

$\\ \sf \longmapsto x-10=50-10=40$

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Convert 2000 Swiss francs to Dutch guilders

Shtirlitz [24]

Answer:

2000 swiss francs equals 3920 Dutch Guilders!

Step-by-step explanation:

One Swiss Franc equals 1.96 Dutch Guilders. Having said this, we can come up with the following equation:

D = 1.96S

Where 'S' represents the swiss francs and 'D' the Dutch Guilders. Now, to convert 2000 Swiss francs, we just need to plug the value into the equation:

D = 1.96(2000) = 3920

So, 2000 swiss francs equals 3920 Dutch Guilders!

4 0

3 years ago

.A variety of stores offer loyalty programs. Participating shoppers swipe a bar-coded tag at the register when checking out and

Leni [432]

Answer:

a) Null hypothesis: $\mu \leq 120$

Alternative hypothesis: $\mu > 120$

b) $t=\frac{130-120}{\frac{40}{\sqrt{80}}}=2.236$

The degrees of freedom are given by:

$df = n-1 = 80-1=79$

The p value for this case taking in count the alternative hypothesis would be:

$p_v =P(t_{79}>2.236)=0.0141$

Step-by-step explanation:

Information given

$\bar X=130$ represent the sample mean for the amount spent each shopper

$s=40$ represent the sample standard deviation

$n=80$ sample size

$\mu_o =120$ represent the value to verify

t would represent the statistic

$p_v$ represent the p value f

Part a

We want to verify if the shoppers participating in the loyalty program spent more on average than typical shoppers, the system of hypothesis would be:

Null hypothesis: $\mu \leq 120$

Alternative hypothesis: $\mu > 120$

The statistic for this case would be given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

Replacing the info given we got:

$t=\frac{130-120}{\frac{40}{\sqrt{80}}}=2.236$

The degrees of freedom are given by:

$df = n-1 = 80-1=79$

The p value for this case taking in count the alternative hypothesis would be:

$p_v =P(t_{79}>2.236)=0.0141$

5 0

3 years ago

A square picture frame with each side length represented by 3x -

sergey [27]

Answer:

C. X=6

Step-by-step explanation:

Length of one side =52/4= 13

3X-5= 13

3x = 13+5

X= 18/3

X= 6

5 0

3 years ago

What is the solution to the equation 3(2x+5) = 3x+4x?

n200080 [17]

X=15
expand the brackets and collect like terms so 6x+15=7x
then -6x to get x=15

4 0

3 years ago

Triangle GHI is translated using the rule (x, y) → (x + 5, y) to create triangle G′H′I′. If a line segment is drawn from point G

Debora [2.8K]

Step-by-step explanation:

the second answer.

they are parallel and congruent (same length).

simply because both points were translated by adding the same number of units to x. so, they have the same length, and point in the same direction.

6 0

1 year ago

If an angle is 10 degree less than its complement, find the angle.​

If an angle is 10 degree less than its complement, find the angle.