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Anastasy [175]
3 years ago
11

Decide if the following biconditional statement

Mathematics
2 answers:
garik1379 [7]3 years ago
7 0

true because if you add up 4 90°you get 360

NNADVOKAT [17]3 years ago
7 0
True
Explanation: right angles are 90º
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If 4 is subtracted from twice a number, the result is 10 less than the number. Find the number.
Alina [70]

Answer: -6

Step-by-step explanation:

Let x= the number

2x-4=x-10 ⇔ according to the statement

  x-4=-10 ⇔ subtraction property of equality (subtract x from both sides)

     x=-6 ⇔ addition property of equality (add 4 on both sides)

Hope this helps!! :)

Please let me know if you have any question

4 0
3 years ago
Read 2 more answers
A soft drink manufacturer wishes to know how many soft drinks adults drink each week. They want to construct a 85% confidence in
Aleks04 [339]

Answer:

The minimum sample size is 1867 observations.

Step-by-step explanation:

We need to construct an 85% confidence interval that has an error less than 0.06. It means that the difference between the upper limit (UL) and the lower limit (LL) has to be 0.06.

UL-LL= e =0.06

UL-LL= e =0.06\\X+z*s/\sqrt{n} -(X-z*s/\sqrt{n}) = e\\2*z*s/\sqrt{n}=e\\

The only variable we can adjust is the number of observations (n)

2*z*s/\sqrt{n}=e\\\\\sqrt{n}=\frac{2*z*s}{e}\\\\ n=(\frac{2*z*s}{e})^{2}=\frac{4*z^{2} *s^{2} }{e^{2} }

For a 85% confidence interval, the z-score is 1.440.

The estimated variance (s^2) is 0.81.

The error e is 0.06.

n= 4*(1.440)^{2} *0.81/(0.06)^{2} \\\n=4*2.0736*0.81/0.0036= 6.7184 / 0.0036 = 1866.24

The sample has to be at least of 1867 observations.

7 0
3 years ago
Which of these is a correct step in constructing congruent angles?
Marrrta [24]

Answer:

if not mistaken is use a compass and draw an arc across both the legs of the given angle

LET ME KNOW IF HELPED

8 0
3 years ago
Can someone pls help me with this question ​
jeyben [28]

Answer:

I'll find X for you; the next step is by you.

Step-by-step explanation:

we have two similar pentagons

I will do it in 2 ways.

1.

=> 48/4x = (x+2)/x

=> 12/x = (x+2)/x

Because of pentagons so x > 0

=> 12 = x + 2 => x = 10

2.

k is unknown number

=> 4x = k.x and 48 = k.(x + 2) (x > 0)

=> k = 4 and 48 = 4.(x + 2)

=> 12 = x + 2 => x = 10

7 0
2 years ago
A function can only be represented by a straight line on the coordinate plain
d1i1m1o1n [39]
False however a one to one function has to be represented by a straight line the way to test a function is the vertical line test
5 0
3 years ago
Read 2 more answers
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