1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
prohojiy [21]
2 years ago
15

Let be a circle

with centre O. A second circle L passes through O and cuts K at two other points A and B. Let P be a point on arc AOB and extend line segment BP to intersect K at a second point Q. Prove that the bisector of angle APQ passes through O.
Mathematics
1 answer:
yan [13]2 years ago
8 0

The bisector of angle APQ passes through O and this is illustrated below.

<h3>How to illustrate the information?</h3>

From the information given, the center is O. and the circle passes through O and cuts at K.

In this case, it should be noted that the circles are equal according to the SAS test.

Here, AOB + APQ = 180° (Linear pair)

2AOB = 180

AOB = 90.

Therefore, the bisector of angle APQ passes through O.

Learn more about bisector on:

brainly.com/question/11006922

#SPJ1

You might be interested in
Please help quickly I’m being timed
ollegr [7]
It’s a
Distribute the exponent to each term, then move your negative exponents to the opposite side then simplify.
4 0
3 years ago
In a study relating the degree of warping, in mm, of a copper plate (y) to temperature in °C (x), the following summary statisti
kipiarov [429]

Answer:

The error sum of squares is SSE=12.97

The regression sum of squares is SSR=6.430

The total sum of squares is SST=19.4

Step-by-step explanation:

Linear regression is a way "to modeling the relationship between a scalar response (or dependent variable) and one or more explanatory variables (or independent variables)".

Regression estimates are "used to describe data and to explain the relationship between one dependent variable and one or more independent variables"

The linear model is given by the following equation Y=mx +b, where y is the dependent variable, x the independent variable, m the slope and b the intercept.

For this case we have the following info given:

\sum_{i=1}^n (x_i -\bar x)^2 =98775

\sum_{i=1}^n (y_i -\bar y)^2 =19.4

\bar x =26.36

\bar y =0.5188

n= 40  represent the sample size

\sum_{i=1}^n (x_i -\bar x)(y_i -\bar y) =796.94

The total sum of squares is given by this formula:

SST= \sum_{i=1}^n (y_i -\bar y)^2 =19.4

And from the formulas for a simple regression, we need to calculate the slope for the regression like this:

m=\frac{\sum_{i=1}^n (x_i -\bar x)(y_i -\bar y)}{\sum_{i=1}^n (x_i -\bar x)^2}

And if we replace the values given we have:

m=\frac{796.94}{98775}=0.008068

We have another useful equation in order to find the sum of squares for the regression, given by:

SSR=m* \sum_{i=1}^n (x_i -\bar x)(y_i -\bar y)=0.008068*796.94=6.430

And we know this equivalence:

SST= SSR+SSE

And solving for the sum of squares for the error we have:

SSE=SST-SSR=19.4-6.430=12.97

So then we have the final solutions:

The error sum of squares is SSE=12.97

The regression sum of squares is SSR=6.430

The total sum of squares is SST=19.4

6 0
3 years ago
HELLLLLLLLLLLLLLLLPPPPPPP PLEASE! Is the number 4.78 a solution of x &lt; 5? Is the number 6 a solution of x &lt; 6? PLEASE EXPL
Karolina [17]
As you know, 4.78 is less than 5, so
.. yes, x=4.78 is a solution to x < 5

As you know, 6 = 6, but is not less than 6.
.. no, x=6 is not a solution to x < 6.
7 0
3 years ago
How many ml of 20 percent acid should be added to pure acid to make 70 ml of 30 percent acid?
Novay_Z [31]

Answer:

61.25%

Step-by-step explanation:

How many ml of 20 percent acid should be added to pure acid

to make 70 ml of 30 percent acid?

:

let x = amt of 20% mixture

then

(70-x) = amt of pure acid

:

0.20x + (70-x) =0 .30(70)

0.20x + 70 - x = 21

= 21 - 70

-0.8x =-49

x = 61.25%

x = +61.25 ml of 20% stuff

8 0
3 years ago
Please help this is worth 15 points!
irina1246 [14]

Answer:

A

Step-by-step explanation:

3 0
2 years ago
Other questions:
  • Which is the best estimate for the product of 324.739 x 231,757.22?
    11·2 answers
  • Factorise y^2 - 169?????????????
    15·2 answers
  • E = {1, 2, 3}
    12·1 answer
  • What is 97+3×6+5×4 =​
    9·2 answers
  • Anyone want to become friends? Add me on sc queenalyssa_05
    10·1 answer
  • Somebody please help me with this
    13·1 answer
  • HELP PLEASEEE AND ANSWER FAST!:))
    13·2 answers
  • Scott needs to buy a textbook for his college class. The book costs $221 new. He found a slightly used one online for $201. What
    10·1 answer
  • Can any one help me on this? this is on my math test due at 11:59.
    9·2 answers
  • Giving brainliest, just for naming off the letters! I can't think of the combination, I just need the names of the letters!
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!