Answers
Answer:
[tex]\angle CBD=105^{\circ}[/tex]
Step-by-step explanation:
We have been given a diagram. We are asked to find the measure of angle CBD using given diagram.
We can see that in triangle ABD two angles measure 60 degree. Using angle sum property of triangle, we can find measure of triangle angle ADB as:
[tex]\angle A+\angle B+\angle D=180^{\circ}[/tex]
[tex]60^{\circ}+60^{\circ}+\angle D=180^{\circ}[/tex]
[tex]120^{\circ}+\angle D=180^{\circ}[/tex]
[tex]120^{\circ}-120^{\circ}+\angle D=180^{\circ}-120^{\circ}[/tex]
[tex]\angle D=60^{\circ}[/tex]
Since all angles of triangle ABD are equal, so it is an equilateral triangle and its all sides will have same measure.
[tex]AB=BD=AD[/tex]
We have been given segment AB is equal to segment BC. Now, we will get:
[tex]AB=BD=AD=BC[/tex]
In triangle BCD sides two sides (BD and BC) are equal, so it is an isosceles triangle.
We know that angles corresponding to equal sides of an isosceles triangle have equal measure, so measure of angle BDC will be equal to angle BCD.
[tex]\angle BDC=\angle BCD=37\frac{1}{2}^{\circ}[/tex]
Now, we will use angle property of triangle to find measure of angle CBD as:
[tex]\angle CBD+\angle BCD+\angle BDC=180^{\circ}[/tex]
[tex]\angle CBD+37\frac{1}{2}^{\circ}+37\frac{1}{2}^{\circ}=180^{\circ}[/tex]
[tex]\angle CBD+\frac{75}{2}^{\circ}+\frac{75}{2}^{\circ}=180^{\circ}[/tex]
[tex]\angle CBD+\frac{150}{2}^{\circ}=180^{\circ}[/tex]
[tex]\angle CBD+\frac{150}{2}^{\circ}-\frac{150}{2}^{\circ}=180^{\circ}-\frac{150}{2}^{\circ}[/tex]
[tex]\angle CBD=\frac{360}{2}^{\circ}-\frac{150}{2}^{\circ}[/tex]
[tex]\angle CBD=\frac{210}{2}^{\circ}[/tex]
[tex]\angle CBD=105^{\circ}[/tex]
Therefore, the measure of angle CBD is 105 degrees.
Related Questions
I will post a graph and using it you have to figure out 4 things.
(i.) (lim x->60-) f(x)
(ii.) (lim x->60+) f(x)
(iii.) What can you conclude about (lim x->60) f(x)? How is this shown by the graph?
(iv.) What aspect of costs of renting a car causes the graph to jump vertically by the same amount at its discontinuities?
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(ii.) (lim x->60+) f(x) = 68
(iii.) It can be concluded that the function is not continuous at x = 60 which is shown on the graph by the gap in the two lines at x = 60.
(iv.) the fixed cost causes the graph to jump vertically at the points of its dicontinuities.
The distance a spring will stretch varies directly with how much weight is attached to the spring. if a spring stretches 9 inches with 100 pounds attached, how far will it stretch with 90 pounds attached? round to the nearest tenth of an inch.
Answers
Cross multiply to get 810 = 100x
Divide both sides by 100 to get x = 81 inches
Which ordered pair is a solution to this equation?
(x+3)y = 14
A. (3, 2)
B. (5, 2)
C. (11, 1)
D.(7, 2)
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Hope this helps and if you need any more help just ask!! :)
What is the ratio 15 : 24 written in lowest terms?
a. 3 : 5
b. 5 : 8
c. 3 : 4
d. 7 : 8 user: ratio for 6 and 30?
Answers
divide both sides by 3
b. 5:8
for 6:30
divide both sides by 6
1:5
its b i done the test
alfonso makes $8 per hour working at movie theater and $12 per hour working at a restaurant. Next week Alfonso is scheduled to work 6 hours at a the movie theater. which of the following inequalities represents the amount of hours (h) that alfonso needs to work at the restaurant next week to earn at least $144 between his two jobs
Answers
You invest an initial $4,500 in an account that has an annual interest rate of 4.5%, compounded daily. How much money will you have in the account after 10 years? Round to the nearest whole number
Answers
If arc AXC = 235°, what is m∠ABC?
117.5°
60°
55°
125°
Answers
The measure of the exterior angle of the circle ∠ABC = 55°
What is the Area of the Sector?In circles, a sector is said to be a part of a circle made of the arc of the circle together with its two radii. This means that it is a portion of the circle formed by a portion of the circumference (arc) and radii of the circle at both endpoints of the arc.
The formula for Area of a sector is given as;
A = θ/360 x πr²
where;
θ is the central angle of the sector
r is radius
Given data ,
Let the measure of the arc be represented as A = 235°
So , the difference of the measures of arc = 235 - 125°
Now , the measure of the external angle ∠ABC = ( 235 - 125 ) / 2
So , the external angle ∠ABC = 55°
Hence , the measure of angle ∠ABC = 55°
To learn more about area of sector click :
https://brainly.com/question/28180776
#SPJ3
Use the stem and leaf plot shown to answer the following question.
What is the upper quartile median value?
37
40
41
Answers
Q1 = 23
Q2 = 34
Q3 = 40 <== ur upper quartile median value
Answer:
The upper quartile median value is 40. Therefore second option is correct.
Step-by-step explanation:
Stem is first digit of a number and leaf is last digit of a number.
Stem 1 leaf 4 can be written as 14.
From the given table, the observations can be written as
[tex]16,18,23,25,26,34,37,37,40,41,46[/tex]
Total number of observations is 11, which is an odd number.
[tex]median=\frac{n+1}{2}\text{th term}[/tex]
[tex]median=\frac{11+1}{2}\text{th term}=6\text{th term}[/tex]
Therefore median is 34.
We have 5 terms before 34 and 5 terms after 34.
[tex]Q_1=\frac{n+1}{4}\text{th term}=3\text{th term}[/tex]
[tex]Q_1=23[/tex]
[tex]Q_3=\frac{3(n+1)}{4}\text{th term}=9\text{th term}[/tex]
[tex]Q_3=40[/tex]
Q₃ is also known as upper quartile median value. Therefore second option is correct.
in a parallelogram consecutive angles are _
Answers
is it possible for a line to pass through only one quadrant?
How about four quadrants? explain
Answers
yes it is possible for a line to only be in one quadrant and it is also possible for a line to be in multiple quadrants basically it can be any place on a plane
Temperature rose 9°f in 3 hours if the starting wad -5°f what was the final temperature
Answers
10 times 16200times 9
Answers
hope this helps you
What is the greatest common factor of 20, 45x?
Answers
Which of the following shows the extraneous solution to the logarithmic equation below?
log3(18x^3)-log3(2x)=log3(144)
x=-16
x=-8
x=-4
x=-2
Answers
than our equation becomes.
log3((18x^3)/(2x)) = log3(144) or
log3(9x^2) = log3(144)
for x= -4 we get that left side is equal to right side
log3(9*(-4)^2) = log3(144)
but if you put that value of x=-4 in start you will get log3(18(-4)^3) which is log of negative value which is imposible. That is why x=-4 is extraneous solution.
The value that shows the extraneous solution to the logarithmic equation below is x = -4
Extraneous solutions to a system of equationGiven the logarithmic function expressed as:
log3(18x^3)-log3(2x)=log3(144)
This can also be written as:
log3(18x^3/2x) = log3(144)
log3 (9x^2) -= log3 (144)
Cancel out the log function to have:
9x^2 = 144
Divide both sides by 9
x^2 = 144/9
x^2 = 16
x = ±4
Hence the value that shows the extraneous solution to the logarithmic equation below is x = -4
Learn more on extraneous solution here:https://brainly.com/question/2959656
Let f(x) = 7x − 13. find f−1(x). (1 point)13x − 77 over quantity of x plus 13quantity of x plus 13 over 71 over quantity 7 x minus 13
Answers
f (x)+13=7x
x=f (x)+13/7
f^-1 (x)=x+13/7
Arcsin(sin(3pi)) ...?
Answers
arc sin (sin 3pi) = theta
where theta is the angle ur looking for
so that becomes
sin (theta) = sin 3pi
sin (theta) = 0
theta = 0, pi
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
Find the area of the regular polygon. Give the answer to the nearest tenth.
dodecagon with a perimeter of 108 cm ...?
Answers
Length of each side = 108/12 = 9 cm.
Length of the apothem = (9/2)/tan 15 = 9/2tan 15 = 16.79 cm
Area of each triangle = 9/2(16.79) = 75.57 cm^2
Therefore, area of the dodecagon = 12(75.57) = 906.9 cm^2
a 12 sided regular polygon is composed of 24 right triangles with one side
half the length of a side = 4.5 cm
the other side is 4.5 / tan (360/24) = 4.5 / tan(15)
A = 24 (1/2) 4.5^2 / tan(15) = 906.9 cm^2
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
Use the graph below for this question:
graph of parabola going through 0, 3 and 2, negative 5.
What is the average rate of change from x = 0 to x = 2?
− 4
− 8
1
5
Can you please help me?
Answers
The average rate of change from x = 0 to x = 2 for the parabola described in the question is -4. Hence the correct option is 1.
The average rate of change of a function between two points is calculated by subtracting the y-values (function outputs) and dividing by the difference in x-values (inputs). In this case, to find the average rate of change of the parabola from x = 0 to x = 2, we use the points (0, 3) and (2, -5).
The average rate of change = (y2 - y1) / (x2 - x1)
Substitute in the given points: ( -5 - 3 ) / ( 2 - 0 )
Simplify the expression: -8 / 2 = -4
Which quantity is used to generate the error bars on a graph?
range
median
linear correlation
standard deviation
Answers
Of the four options listed the only one valid, a frequently used, is the standard deviation (you could use, two standard deviations, or an interval of confidence).
The answer is standard deviation.
Answer:
D
Step-by-step explanation:
Edge 2022
You are making a scale drawing out of your classroom using the scale 1 inch: 3 feet. The floor of your classroom is a rectangle with a length of 21 feet and a width of 18 feet. What should the length and width of the floor in your drawing be?
Answers
21 feet : 3 feet = 7 inches
18 feet : 3 feet = 6 inches
The dimensions of the floor in drawing are 7 inches × 6 inches
rewrite the rational expression x^3+5x^2+3x-10/x+4 in the form q(x) + r(x)/b(x)
Answers
To rewrite the rational expression x^3+5x^2+3x-10/x+4 in the form q(x) + r(x)/b(x), we can use polynomial division.
Explanation:To rewrite the rational expression x^3+5x^2+3x-10/x+4 in the form q(x) + r(x)/b(x), we can use polynomial division. Here are the steps:
Divide x^3+5x^2+3x-10 by x+4 using polynomial division.Write the quotient obtained as q(x) and the remainder obtained as r(x).The denominator b(x) is the divisor, which is x+4.Therefore, the rational expression x^3+5x^2+3x-10/x+4 can be rewritten as q(x) + r(x)/b(x), where:
q(x) is the quotient obtained from polynomial division.r(x) is the remainder obtained from polynomial division.b(x) is the divisor, which is x+4.
Which of the following is not an example of using the distributive property to multiply 12 times 22?
a. 12(20 + 2)
b. 22(10 + 2)
c. 10(2 · 22)
Answers
It doesn't have the correct format and is mixed up.
Clark Kent walks 3 miles west and then 4 miles north. How far is it for Superman to fly in a straight line back to his starting point? (It makes a right triangle.)
Answers
a^2+b^2=c^2
3^2+4^2=c^2
9+16=c^2
25=c^2
sqr 25=sqr c^2
5=c
daniel team scored 40 points at the game danielscored 50% of the teams points how many poits did daniel scored
Answers
What are the 2 types of unbiased samples?
Answers
Is the number 5 prime,composite,or niether
Answers
the midpoint of a segment is (2,-5), and one of the endpoints is (3,6). where is the other endpoint?
Answers
(3, 6) is (2+1, -5+11) is an end point
therefor the other end point should be (2-1, -5-11) = (1, -16)
You could visualise this better if you draw it
Hope this helps, I don't really know a better way to explain it, sorry =P
Use the formula P = 2l + 2w to find the length of a rectangle whose perimeter is 57 inches and whose width is 13 inches.
Answers
57 = 2L + 2(13)
57 = 2L + 26
-26 -26
31 = 2L
2 2
15.5 = L
Maggie was thinking of a number. If she multiply the number by 3 ,subtracted by 8 ,added by 2 times the 5 original number . the result was 48. write an equation that the number satisfies. Then answer it.
Answers
number is ?
3.?-8+2.5.?=48
13.?=56
?=56/13
To solve the word problem, we set up and solved an algebraic equation. Maggie's original number is approximately 4.31 after converting the written problem into the equation 3x - 8 + 10x = 48 and solving for 'x'.
The goal is to translate the word problem into an algebraic equation and solve for the unknown number. If Maggie is thinking of a number, let's use 'x' to represent this unknown number. According to the problem, she multiplies the number by 3, subtracts 8, and then adds 2 times the original number 5 times. The result of these operations is 48. Here's how you set up the equation:
3x - 8 + 10x = 48
The next step is to combine like terms:
13x - 8 = 48
Now we add 8 to both sides of the equation:
13x = 56
The last step is to divide both sides by 13 to solve for x:
x = 56 / 13
x = 4.3077 or approximately 4.31 if rounded to two decimal places.
Therefore, Maggie's number is approximately 4.31.
12 divided by -0.03 it need help