Answers
Given:
In circle D, the measure of angle ADC is 108 degrees.
To find:
The measure of angle ABC.
Solution:
Central angle theorem: According to this theorem, the measure of central angle of an arc is twice of the measure of inscribed angle on that arc.
Using the Central angle theorem, we get
[tex]m\angle ADC=2\times m\angle ABC[/tex]
[tex]108^\circ=2\times m\angle ABC[/tex]
[tex]\dfrac{108^\circ}{2}= m\angle ABC[/tex]
[tex]54^\circ= m\angle ABC[/tex]
Therefore, the measure of angle ABC is 54 degrees.
Related Questions
Write an equation that you can use to find the value of x'.
Perimeter of triangle: 16 in.
Answers
Answer:
x= 16/3
Step-by-step explanation:
From the equation we know x is the same for all sides so the perimeter is:
p = x + x+ x we know the perimeter so it would be
16 = 3x (we add the x)
then we need to divide both sides by three to have an equation for x so it would be:
x= 16/3
A baker is making walnut bread. The recipe uses 2/3 cups of walnuts for each bread recipe. The baker has 7 1/2 cups of walnuts. What is the maximum numbers of full recipe of walnut bread the baker can make?
Answers
Answer:
11 breads
Step-by-step explanation:
Note that:
1 bread recipe = 1 bread
From the above question, we know that:
2/3 cups of walnut = 1 bread
7 1/2 cups of walnut = x breads
Cross Multiply
2/3 cups × x breads = 7 1/2 cups × 1 bread
x breads = 7 1/2 cups × 1 bread/2/3 cups
x breads = 7 1/2 ÷ 2/3
x breads = 15/2 ÷ 2/3
x breads = 15/2 × 3/2
x breads = 45/4
x breads = 11 1/4 breads
Maximum full recipe = 11 breads.
Therefore, the MAXIMUM numbers of full recipe of walnut bread the baker can make is 11 breads.
If y varies inversely as x and y = 4 when x = 12, find the constant of variation
Answers
The average daily volume of a computer stock in 2011 was million shares, according to a reliable source. A stock analyst believes that the stock volume in 2014 is different from the 2011 level. Based on a random sample of trading days in 2014, he finds the sample mean to be million shares, with a standard deviation of s million shares. Test the hypotheses by constructing a % confidence interval. Complete parts (a) through (c) below. (a) State the hypotheses for the test. : mu equals million shares : mu not equals million shares (b) Construct a % confidence interval about the sample mean of stocks traded in 2014. The lower bound is nothing million shares. The upper bound is nothing million shares. (Round to three decimal places as needed.) (c) Will the researcher reject the null hypothesis?
Answers
Complete question :
The average daily volume of a computer stock in 2011 was p = 35.1 million shares, according to a reliable source. A stock analyst believes that the stock volume in 2014 is different from the 2011 level. Based on a random sample of 40 trading days in 2014, he finds the sample mean to be 30.9 million shares, with a standard deviation of s = 11.8 million shares. Test the hypotheses by constructing a 95% confidence interval. Complete parts (a) through (c) below. State the hypotheses for the test. Construct a 95% confidence interval about the sample mean of stocks traded in 2014.
Answer:
H0 : μ = 35.1 ;
H1 : μ < 35.1 ;
(26.488 ; 35.312)
Step-by-step explanation:
The hypothesis :
H0 : μ = 35.1
H1 : μ < 35.1
The confidence interval :
Xbar ± Margin of error
Xbar = 30.9
Margin of Error = Zcritical * s/sqrt(n)
Zcritical at 95% = 1.96
Margin of Error = 1.96 * (11.8/sqrt(40))
Margin of Error = 4.412
Lower boundary :
30.9 - 4.412 = 26.488
Upper boundary :
30.9 + 4.412 = 35.312
Confidence interval = (26.488 ; 35.312)
Since the population mean value exists within the interval, the we fail to reject the Null.
Leslie had 30 pieces of bubblegum. Each piece of bubblegum cost $.12 each. What was the total she paid for all 30 pieces of bubblegum?
Answers
Step-by-step explanation:
30 pieces of bubblegum
each piece: $.12
Total paid = 30 × $.12
Answer: $3.60
hello please help i’ll give brainliest
Answers
Answer:
1. 1
2. 6
3. 3 or 4
Step-by-step explanation:
Answer:
1. 8 families have 3 children
2. 25 families are represented in the dot plot.
3. 20 families have less than 4 children
Which of the following could be a zero of f(x)=x4-10x3+35x2-50x+24
Answers
Answer:
this answer is
Step-by-step explanation:
Invisible
Find the surface area
Answers
Answer
96
Step-by-step explanation:
Answer:
96m
Step-by-step explanation:
Surface area of a pyramids formula is SA= B+1/2*l*P
B= area of base
l= slant height
P= perimeter of base
B= 6*6= 36
l= 5
P= 6+6+6+6 = 12+12 = 24
plug them into the formula
SA= (36)+1/2 * (5)*(24)
SA = (36)+1/2* 120 ------------- do 5 * 24
SA= (36) + 60 -----------do 120/2
SA = 96
Two sides of a triangle measure 7 feet and 19
feet. Write an inequality to represent the range
of lengths for the third side.
Answers
Answer:
12<x<26
Step-by-step explanation:
7 + 19 = 26
19 - 7 = 12
Always put the larger number before the smaller one while subtracting like I just did.
The inequality to represent the range of lengths for the third side as
{x} < 26.
What is a triangle?A triangle is a two - dimensional figure with three sides and three angles.
The sum of the angles of the triangle is equal to 180 degrees.
∠A + ∠B + ∠C = 180°
Given is that two sides of a triangle measure 7 feet and 19 feet.
It is aske to write an inequality to represent the range of lengths for the third side. It is given that two sides of a triangle measure 7 feet and 19 feet.
For a inequality, the sum of the lengths of the two smaller sides is greater than the length of the maximum side. So, write an inequality to represent the range of lengths for the third side as -
19 + 7 > x
x < 19 + 7
x < 26
So, we can conclude that the inequality to represent the range of lengths for the third side as {x} < 26.
Therefore, the inequality to represent the range of lengths for the third side as {x} < 26.
To solve more questions on triangles, visit the link-
https://brainly.com/question/2773823
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PLZ PLZ PLZ HELP ME WILL MARK BRAINLIEST Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match each division expression with the correct quotient.
Answers
1. (16x² + 48x) ÷ 8x
[tex]\implies \sf{\dfrac{8x(2x + 6)}{8x}}[/tex]
[tex]\implies \sf{2x + 6}[/tex]
2. (56x² - 14x) ÷ 7x
[tex]\implies \sf{\dfrac{7x(8x - 2)}{7x}}[/tex]
[tex]\implies \sf{8x - 2}[/tex]
3. (20x² - 32x) ÷ 4x
[tex]\implies \sf{\dfrac{4x(5x - 8)}{4x}}[/tex]
[tex]\implies \sf{5x - 8}[/tex]
4. (18x² + 15x) ÷ 3x
[tex]\implies \sf{\dfrac{3x(6x + 5)}{3x}}[/tex]
[tex]\implies \sf{6x + 5}[/tex]
Here is Kwame’s work writing the expression 4-2(x + 5) using fewer terms.
Answers
Answer: 20 -2x
Step-by-step explanation:
Answer:
-2x - 6
Step-by-step explanation:
Carry out the indicated multiplication:
4-2(x + 5) = 4 - 2x - 10, or
= -2x - 6 (answer)
Solve for the inequality for p. write it out in simplest form. Please help! :)
4p−1≤ 3p−10
Answers
Answer:
p≤ -9
Step-by-step explanation:
4p-1≤ 3p-10
4p-3p≤ 1-10
p≤ -9
If this helps please mark as brainliest would really appreciate it
Answer:
See the image below:)
Step-by-step explanation:
A 37.5 mL solution contains 0.181 g of potassium chromate, K2CrO4 What is the
molarity?
Answers
Answer:
molarity=
194,19g/mol∗37.5mL
0.181g∗1000
=0,0248mol/L
Step-by-step explanation:
Find the circumference of the pizza. Round your answer to the nearest hundredth.
Answers
Answer:
40.84 inches
Step-by-step explanation:
C=πd
C=π(13)
C=13π
C=40.84
So the pizza has a circumference of about 40.84 inches.
18 cm
10 cm
15 cm
Find the area of the triangle.
[?] square centimeters
Answers
Which are the base and height of the triangle?
Answer: If 10 and 15 are base and height, then answer is 75 cm squared. If 15 and 18 are base and height, then answer is 135 cm squared. If 10 and 18 are base and height, then answer is 90 cm squared.
Answer:75
Step-by-step explanation:
If x = y and y = 2 then 3x =
Answers
Answer:
The answer would be 6
Step-by-step explanation:
please help this is due today
Answers
Answer:
Step-by-step explanation:
What is 25/15 - 12/15
Answers
Answer:
13/15
Step-by-step explanation:
25/15-12/15
(25-12)/15
13/15
13 because you have to subtract both of them
Which circle shows an intercepted arc?
Answers
Answer:
B.
Step-by-step explanation:
An intercepted arc can therefore be defined as an arc formed when one or two different chords or line segments cut across a circle and meet at a common point called a vertex.
The required intercepted arc has been shown in circle B. Option D is the correct answer.
What is intercepted arc?In geometry, an intercepted arc is an arc of a circle that lies in the interior of an inscribed angle of the circle, and whose endpoints lie on the sides of the angle.
In other words, if we draw two rays originating from a point on the circle's circumference, the intercepted arc is part of the circle's circumference that lies between the two rays and is located inside the angle formed by the rays.
Here,
Following the above definition, Circle B consists of the intercepted arc.
Learn more about intercepted arc here:
https://brainly.com/question/23995755
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omllllll please helpp
Answers
Answer:
a. 8x^3y^3
b. x^5
Step-by-step explanation:
PLZ HELP WILL GIVE BRAINLEST
Answers
please answer this question as soon as possible
Answers
Answer: The graph is shifted vertically, but not horizontally
Step-by-step explanation:
Since the added constant is outside the x term, the constant will only shift the graph vertically.
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do not scam me
marking brainlist
Answers
Answer:
mirror x than mirror y i guess
Step-by-step explanation:
100 ÷ half of 20 = What is the answer and steps Half of 20 means 10 but in BODMAS rule of means multiplication So please tell steps also
Answers
Answer:
it's 10 but i do'nt know the rule i'm sorry
Step-by-step explanation:
A square playground has sides that each measure 120 feet in length.
On a scale drawing, 1/4 inch represents 5 feet on the playground.
How long is a side of this playground on the scale drawing?
Answers
Alejandro plans to begin filling his backyard pool with water at noon. Assume noon represents t = 0 for time t in minutes. The depth of water in the pool is the product of the rate at which the water flows into the pool and time. The total depth of the water when the pool is full is 120 centimeters.
a. Alejandro begins filling his pool 15 minutes later than planned. Write the function relating the time since noon to the rate r at which water flows into the pool. Graph the function.
b. Analyze the key features of the graph in the context of the situation.
Answers
Answer:
i cant understand
Step-by-step explanation:
Can someone help me solve this pls
Answers
Answer: that’s an acute angle
Step-by-step explanation:
measured the sides of a right triangle to be 15cm and 8cm. Find the length of the hypotenuse.
Answers
c = √225 + 64
c = √289
c = 17
The lenght of the hypotenuse is 17.
What is the range of the following graph? Please don’t put down any links.
Answers
Answer:
[-4, infinity)
Step-by-step explanation:
The range is all the y values. The minimum is -4, and the maximum is infinity because there are arrows pointing upwards.
fine the next three terms in each geometric sequence
2,-10,50,...
Answers
Answer:
2, -10, 50, -250, 1250, -6250
Step-by-step explanation:
its times -5 every time