All categories

2 years ago

Help me with this question please

Mathematics

1 answer:

Andrew [12]2 years ago

4 0

<em>Complementary </em>angles are two angles that add up to a <em>right </em>angle, or 90°.

If ∠A and ∠B are complementary, that means that m∠A + m∠B = 90°. Plugging in the given values for m∠A and m∠B, we have

(2x-29) + (x + 23) = 90

Which we can use to solve for x:

2x - 29 + x + 23 = 90
(2x + x) + (-29 + 23) = 90
3x - 6 = 90
3x = 96
x = 32

Since we already know m∠B = (x + 23)°, we can substitute x to find that m∠B = (32 + 23)° = 55°

You might be interested in

Help a girl out with geometry

Darya [45]

Follow the steps

106=x+79+x+45
106=2x+124
-124= -124
-18=2x
( -18)/2=(2x)/2 <----- solving for x
-9=x

then
angle LMF= -9+79
=70

angle FMN= -9+45
= 36
(when you add 70 and 36 together you get 106 which is the measurement of angle LMN or in other word the whole thing)

In conclusion the answer to the problem is:
Angle LMF is equal to 70.

7 0

2 years ago

What is this problem -12=4(x-7)-8x

Fofino [41]

-12=4(x-7)-8x

One solution was found :

x = -4

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

-12-(4*(x-7)-8*x)=0

Step by step solution :

Step 1 :

Equation at the end of step 1 :

-12 - (4 • (x - 7) - 8x) = 0

Step 2 :

Step 3 :

Pulling out like terms :

3.1 Pull out like factors :

4x + 16 = 4 • (x + 4)

Equation at the end of step 3 :

4 • (x + 4) = 0

Step 4 :

Equations which are never true :

4.1 Solve : 4 = 0

Hope this helps you, Have a nice day.

4 0

2 years ago

The accompanying data on x = current density (mA/cm2) and y = rate of deposition (m/min)μ appeared in a recent study.

gtnhenbr [62]

Answer:

a) $r=\frac{4(333)-(200)(5.37)}{\sqrt{[4(12000) -(200)^2][4(9.3501) -(5.37)^2]}}=0.9857$

The correlation coefficient for this case is very near to 1 so then we can ensure that we have linear correlation between the two variables

b) $m=\frac{64.5}{2000}=0.03225$

Now we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{200}{4}=50$

$\bar y= \frac{\sum y_i}{n}=\frac{5.37}{4}=1.3425$

$b=\bar y -m \bar x=1.3425-(0.03225*50)=-0.27$

So the line would be given by:

$y=0.3225 x -0.27$

Step-by-step explanation:

Part a

The correlation coeffcient is given by this formula:

$r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}$

For our case we have this:

n=4 $\sum x = 200, \sum y = 5.37, \sum xy = 333, \sum x^2 =12000, \sum y^2 =9.3501$

$r=\frac{4(333)-(200)(5.37)}{\sqrt{[4(12000) -(200)^2][4(9.3501) -(5.37)^2]}}=0.9857$

The correlation coefficient for this case is very near to 1 so then we can ensure that we have linear correlation between the two variables

Part b

$m=\frac{S_{xy}}{S_{xx}}$

Where:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=12000-\frac{200^2}{4}=2000$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i){n}}=333-\frac{200*5.37}{4}=64.5$

And the slope would be:

$m=\frac{64.5}{2000}=0.03225$

Now we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{200}{4}=50$

$\bar y= \frac{\sum y_i}{n}=\frac{5.37}{4}=1.3425$

And we can find the intercept using this:

$b=\bar y -m \bar x=1.3425-(0.03225*50)=-0.27$

So the line would be given by:

$y=0.3225 x -0.27$

4 0

2 years ago

What is 2826 rounded to the nearest hunderd

Savatey [412]

Answer:

800

Step-by-step explanation:

2826 around to the nearest hunderd is 800

7 0

2 years ago

Write an inequality and use substitution to solve the following problem:

nekit [7.7K]

They already spent $2000, and they only had $5100

Subtract

5100 - 2000 = 3100

$3,050 is your answer, because it is the only one that is less than 3100

hope this helps

7 0

2 years ago