Mathematics High School

A statement and portions of the flowchart proof of the statement are shown.

Which reason should appear in the box labeled 1?


Angle Addition Postulate

Angle Congruence Postulate

Ruler Postulate

Linear Pair Postulate
Flow chart proof. Given measure of angle B A C is 20 degrees and measure of angle C A D is 15 degrees. Prove the measure of angle B A D is 35 degrees. Given image shows acute triangle A B D. Point C is on side B D with point C slightly closer to point D. Segment A C drawn. Flow chart consisting of 4 rows of horizontal text boxes. A horizontal line segment joins the midpoints of each of the vertical sides of each of the text boxes effectively subdividing each text box into an upper box and lower box. In row 1 there is 1 textbox. In the upper half of the box is the equation the measure of angle B A D equals the measure of angle B A C plus the measure of angle C A D. In the lower half of the box is the number 1 in a smaller box. In row 2 there are 2 text boxes. In the upper half of the box on the left is the equation the measure of angle B A C equals 20 degrees. In the lower half of the box is the word Given. In the upper half of the box on the right is the equation the measure of angle C A D is 15 degrees. In the lower half of the box is the word Given. In row 3 there is 1 text box. In the upper half of the box is the equation the measure of angle B A D equals 20 degrees plus 15 degrees. In the lower half of the box is the phrase Substitution Property of Equality. In row 4 there is 1 text box. In the upper half of the box is the equation the measure of angle B A D equals 35 degrees. In the lower half of the box is the word Simplify. A ray is drawn from the text box in row 1 to the text box in row 3. A ray is drawn from each of the text boxes in row 2 to the text box in row 3. A ray is drawn from the text box in row 3 to the text box in row 4.

Answers

Answer 1

Answer:

Ruler Postulate

Step-by-step explanation:

Answer 2

In box 1, the reason that justifies the statement, m∠BAD = m∠BAC + m∠CAD, is: angle addition postulate.

What is the Angle Addition Postulate?

The angle addition postulate states that the measure of a larger angle equals the sum of smaller angles that make up the larger angle.

∠BAD comprises of ∠BAC and ∠CAD.

Therefore, based on the angle addition postulate, m∠BAD = m∠BAC + m∠CAD.

The missing reason in box 1 would be: angle addition postulate.

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A Statement And Portions Of The Flowchart Proof Of The Statement Are Shown.Which Reason Should Appear

Related Questions

Pauline’s Pie’s baked 150 pies before they opened the store on Sunday. Once the store opened, they sold 30% of the pies before noon. How many pies were sold before noon?

Answers

Answer:

105

Step-by-step explanation:

First, in problems like these, you have to find 30% of 150. 30% of 150 is 45. Now, since you want to see how many pies have been sold, you do 150-45, which will give you 105.

2
The area of a rectangle is given by the
expression 36cd + 90d. Which of the
following are possible dimensions for
the rectangle?
O A. 9 by 40 + 10d
O B. 36 by cd + 5d
O C. 6d by 6c + 15
OD. 18d by 2c + 5d

Answers

Answer:C

Step-by-step explanation:

6d(6c +15) = 36cd +90d

Please solve ASAP, I have MCAS tomorrow morning and I can't get through the practice test. I will mark as the BRAINLIEST whom will answer the first, QUESTIONS IN ATTACHMENT ​

Answers

Answer:

Part A: f(4) = 2

Part B: k = -7

Step-by-step explanation:

f(4) simply means what the y-value of the graph is when x = 4.

The parabola crosses the coordinate (4,2). In other words, when x = 4, the graph equals 2.

Part B asks to solve the equation: f(4) + k = -5

We already know from Part A that f(4) = 2. So simply substitute 2 for f(4):

2 + k = - 5

Substract 2 from both sides:

k = -7

Please help i need this quick ill give brainlyiest

Answers

What the that needs to be solved

Which of the following statements is true?

A.
The components of a vector must be nonzero.
B.
A vector’s magnitude is equal to the sum of the squares of its components.
C.
The magnitude of a vector is never negative.
D.
The direction of a vector is always less than the magnitude.

Answers

i think the correct one is B

. Given the number n, write an expression for:
(a) Twice the sum of n and 5
(b) The sum of twice n and 5

© Give a numerical example that shows these are not the same expression.

Answers

Answer:

a) 2(n + 5)

b) 2n + 5

Step-by-step explanation:

Writing an     algebraic expression:

  a) Sum of n and 5 ⇒   n + 5

     Twice sum of n and 5 ⇒   2*(n +5)  = 2*n + 2*5

                                                                = 2n + 10

b) Twice n ⇒ 2*n = n

Sum of twice n and 5 ⇒   2n + 5

Please help I need help

Answers

Answer:

see photo attached for detailed analysis

Step-by-step explanation:

Can someone help me thanks

Answers

35°F as ice cream is really cold and 35°C is like the average weather in really hot countries in the summer!

3(-4x + 5y) - 3x(2 + 4y simplify please

Answers

-12xy - 18x + 15y
Hopefully this helps if you want to know how to do it!
(Btw for the 2nd part you’re distributing the -3x to the numbers not just 3x)

What is the answer to the question ………

Answers

Answer:

Here is the solution...so option A is correct


Jean-Paul incorrectly states that
4.2874 + 1.286 = 4.416.
His work is
shown below.

Explain Jean-Paul's
mistake and correct his work.

Please help due at 4:20

Answers

To start solving you need to have the decimals underneath it each other like this
4.2874 (U add a zero if there is no number for that area)
1.2860
_____
5.5743 is the right answer :)

please help me find the answer to this, the work on it is wrong!!

Answers

Answer:

P=2(8+15)

2(23)

=46 units

A=L×W

8×15

=120square units

Answer my practice question. Today, the sum of Cameron's age and Christian's age is 102. 6 years ago Christian was 2 times older than Cameron.
Part A: Enter Cameron's age today.
Part B: Enter Christian's age today

Answers

Answer:

Cameron's age=48         Christain's age=54

Step-by-step explanation:

The current total age is 102.

You can do 102-6 as this will give you an idea of Christain's age as it is twice the age of Cameron.

102-6=96

96/2=48

Cameron's age=48

102-48=54

54=Christain's age

On the sale price of cloth was reduced from rs 940to rs 760 .Find the discount

Answers

Answer:

180 RS discount

Step-by-step explanation:

because 940-760 is 180

How high is a weather balloon that is tied to the ground if it is secured by a 15m long rope and the angle between the rope and the ground is 35?

Answers

The weather ballon is 8.6m high

What’s the area and perimeter?

Answers

Answer:

•12

Step-by-step explanation:

fInd Little bit at end by pythogotous and find are of shaded the find areo of non shaded and take away with shaded triangle

Express 1500 cm: 37.5 m in the form 1:n

Answers

Answer:
1:0.025

Explanation:
1500: 37.5

⬇️

(divide by 1500)

⬇️

1:0.025

Plsss help meee. Worth 15 points<3

A sentence with antonyms has two words with

somewhat different meanings
opposite meanings
similar meanings
the same meanings

Answers

Answer:

a word opposite in meaning to another (ex bad and good)

Can someone help me I’ve already done it once and can’t redo it after this try I got them all wrong. Pls help

Answers

Sin J = 14/17.5
Sin K = 10.5/17.5
Cos J = 10.5/17.5
Cos K = 14/17.5
Tan J = 14/10.5
Tan K 10.5/14

WXYZ is a parallelogram. What is the angle DZW?

Answers

The correct angle measurement DZW = 55°

How to find the angle DZW?

Note the following parameters

, m∠W = 125° and m∠Z = 55°

The measure of angle <DYZ is given as:

<DYZ = 125 ⁰

The opposite angles of a parallelogram are equal.

This means that, angles W and Y have equal measures

This implies that

<ZWZ = <DYZ

<XWZ=125

The adjacent angle of a parallelogram add up to 180 degrees.

This is to say that

<DXW = 180 - <DYZ

<DXW= 180-125

<DXW= 25

Angles X and Z are equal because they are opposite angles.

This is to say that

<Z = 55

Hence, the  measure of angle DZW is 55⁰

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Determine the value of k so that the solutions of the equation x^2-kx+36=0 are the same value

Answers

The discriminant is calculated and set equal to zero. Thus, we obtain a double root.

             [tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{ (-k)^2-4(1)(36)=0\ \Longrightarrow\ k^2=144 } \end{gathered}$}[/tex]

The possible values of the coefficient of the linear term are k₁=12, k₂=-12.

The graph relates the temperature change y (in degrees Fahrenheit) to the altitude change x (in thousands of feet). Altitude Change

Answers

Based on the relationship between the temperature and altitude change, the slope is -3.6 and the y-intercept is 59. The equation of the line is y = - 3.6x + 59.

What is the equation for this line on altitude change v. temperature change?

First find the slope. This can be found by the formula:

= (Y₂ - Y₁) / (x₂ - x₁)

Two points on line:

(0, 59) and (7, 33.8)

Slope is:

= (33.8 - 59) / (7 - 0)

= -3.6

The y intercept is the point the line crosses the y axis which is 59.

The formula is:

y = mx + c

Where;

m = slope

c = y intercept

So the equation is:

y = -3.6x + 59

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I’m too tired pls help I’ll mark brainlest

Answers

Answer:

B is the answer I thought it was C sorry

Option B is correct

1/2 = 2/4

same thing as last time i just need an answer don't take this down

Answers

Answer:

The answer is A.

Answer:

Step-by-step explanation:

Comment

The marks between numbers (there are 3 between each number) represent 0.25

Your point is nearly -6.

Go one backwards -6 + 0.25 = - 5.75

You have to be going toward the positive direction because -6 is smaller than -5.75

Answer: A

Can you please help me with 12 please?

Answers

Answer: y = 1/2x + 12

tan2x=___

A. tan x/1+tan^2 x
B. tan x/1-tan^2 x
C. 2tan x/1-tan^2 x
D. 2tan x/1+tan^2 x

Answers

Step-by-step explanation:

tan2x = sin2x/cos2x

we know that ,

sin2x = 2sinxcosx sin2x = 2sinxcosx cos2x = cos²x - sin²x

Since, tan2x = 2sinx*cosx/cos²x- sin²x

Dividing by cos²x in numerator and denominator.

We get ,

tan2x = 2sinx/cosx / 1- sin²x/cos²x

Since, we get tan2x= 2tanx/1-tan²x

Option (c) is correct option.

Hope it will be helpful

In a random sample of 74 homeowners in a city, 22 homeowners said they would
support a ban on nonnatural lawn fertilizers to protect fish in the local waterways. the sampling
method had a margin of error of +3.1%.

a) find the point estimate.

b) find the lower and upper limits and state the interval.

Answers

The point estimate is 29.73% and the lower and upper limits are 26.63% and 32.83% respectively.

What is the margin of error(MOE)?

It is defined as an error that provides an estimate of the percentage of errors in real statistical data.

The formula for finding the MOE:

[tex]\rm MOE = Z\times \dfrac{s}{\sqrt{n}}[/tex]

Where   Z is the z-score at the confidence interval

            s is the standard deviation

            n is the number of samples.

Point estimate = 22/74 = 0.2973 = 29.73%

Lower limit = point estimate - MOE  = 29.73 - 3.1 = 26.63%

Upper limit = point estimate + MOE = 29.73 + 3.1 = 32.83%

Thus, the point estimate is 29.73% and the lower and upper limits are 26.63% and 32.83% respectively.

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Can someone help me if not that's alright.


The sum of two number is 64. Their difference is 14. Find each of the numbers.

Answers

Answer:

25 + 39 = 64

Step-by-step explanation:

I hope this helps! If it does, please click "Thanks" to help me out!

What is the equation in slope intercept form of the line that passes through the points (-26,-11) and (39,34

Answers

Answer:

y2=34 y1= -11

x2= 39 x1= -26

y2-y1/x2-x1

34-(-11)/39-(-26)

34+11/39+26

45/65

m=9/13

4.80 for 16 ounces of cereal how much did i spend per ounce?

Answers

Answer:

0.3 per ounce

4.80 / 16 = 0.3

0.3 × 16 = 4.80

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