Here is a really great 4 minute video that should help alot!

https://www.khanacademy.org/math/geometry-home/congruence/theorems-concerning-parallelogram-properti...

8 0

4 years ago

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Janice and Terry went out to eat. Janice's meal was 4/5 of Terry's meal. If the total bill (without tax) was $27, how much did T

Fofino [41]

Answer:

The answer would be d, $15

Hope this helps!

Step-by-step explanation:

15 x 4/5=12

12+15=27

8 0

3 years ago

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For what values of q are the two vectors A = i + j + kq each other and B-iq-23 + 2kg perpendicular to

Sloan [31]

Answer:

The value of q are 0.781,-1.281.

Step-by-step explanation:

Given : Two vectors $A=i+j+kq$ and $B=iq-2j+2kq$ are perpendicular to each other.

To find : The value of q ?

Solution :

When two vectors are perpendicular to each other then their dot product is zero.

i.e. $\vec{A}\cdot \vec{B}=0$

Two vectors $A=i+j+kq$ and $B=iq-2j+2kq$

$(i+j+kq)\cdot (iq-2j+2kq)=0$

$(1)(q)+(1)(-2)+(q)(2q)=0$

$q-2+2q^2=0$

$2q^2+q-2=0$

Using quadratic formula,

$q=\frac{-1\pm\sqrt{1^2-4(2)(-2)}}{2(2)}$

$q=\frac{-1\pm\sqrt{17}}{4}$

$q=\frac{-1+\sqrt{17}}{4},\frac{-1-\sqrt{17}}{4}$

$q=0.781,-1.281$

Therefore, The value of q are 0.781,-1.281.

6 0

3 years ago

A student measured the lead content of a paint sample 4 times. The standard deviation of the measurements was found to be 0.76%

Lady_Fox [76]

Answer:

$CI =0.894%$

Step-by-step explanation:

From the question we are told that:

Sample size $n=4$

Standard deviation $\sigma=0.76\% of \=x$

Confidence level $\mu =90\%=0.90$

Degree of Freedom $Df=n-1=3$

Therefore

Test T from table is given

$t=2.353$

Generally the equation for Confidence interval CI is mathematically given by

$CI =t*\frac{\sigma}{\sqrt{n}}$

$CI =2.353*\frac{0.76}{\sqrt{4}}$

$CI =0.894%$

6 0

3 years ago