Answers
Answer:
75 degrees.
Step-by-step explanation:
The total number of degrees in a triangle is 180 degrees therefore you can take the sum of the other 2 angles in the triangle and take that number and subtract it from 180.
1). 30+75=105
2).180-105=75
3). using the Side, Side, Side geometry rule, this means that both triangles are the same for all angles and side lengths
4). using the Alternative angle rule, the rule that say that a line that intersects 2 parallel lines forms 4 pairs of similar angles
5). therefore angle ABC is the same as angle BCD
6). Angle ABC was determined to be 75 degrees therefore angle BCD is also 75 degrees
Related Questions
Janet can make 4/5 of a necklace in 20 minutes at this straight how many necklaces to the nearest 10th of a necklace can Janet make in one hour.
Please help
Answers
The ordered pair(6,y) is on line AC. Enter the value of y for this ordered pair.
Answers
Note: Consider the below figure attached with this question.
Given:
The ordered pair(6,y) is on line AC.
To find:
The y of this ordered pair.
Solution:
From the below figure it is clear that endpoints of AC are A(-7,-4) and C(1,4). So, equation of AC is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex]y-(-4)=\dfrac{4-(-4)}{1-(-7)}(x-(-7))[/tex]
[tex]y+4=\dfrac{4+4}{1+7}(x+7)[/tex]
[tex]y+4=\dfrac{8}{8}(x+7)[/tex]
[tex]y+4=x+7[/tex]
Subtracting 4 from both sides, we get
[tex]y+4-4=x+7-4[/tex]
[tex]y=x+3[/tex]
Thus, the equation of line AC is [tex]y=x+3[/tex].
Put x=6 to find the y for the ordered pair (6,y).
[tex]y=6+3[/tex]
[tex]y=9[/tex]
Therefore, the value of y is 9.
What's the center of a circle whose equation is (x – 14)2 + (y + 21)2 = 64?
Question 19 options:
1)
(–14, –21)
2)
(14, –21)
3)
(–14, 21)
4)
(14, 21)
Answers
Answer:
The center of the circle is:
[tex]\left(a,\:b\right)=\left(14,\:-21\right)[/tex]Thus, option (2) is true.
Step-by-step explanation:
The circle equation is given by
[tex]\left(x-a\right)^2+\left(y-b\right)^2=r^2[/tex]
here,
r = raduiscenter = (a, b)Given the equation
[tex]\left(x-14\right)^2+\left(y+21\right)^2=64[/tex]
[tex]\mathrm{Rewrite}\:\left(x-14\right)^2+\left(y+21\right)^2=64\:\mathrm{in\:the\:form\:of\:the\:standard\:circle\:equation}[/tex]
[tex]\left(x-14\right)^2+\left(y-\left(-21\right)\right)^2=8^2[/tex]
comparing with the circle equation
[tex]\left(x-a\right)^2+\left(y-b\right)^2=r^2[/tex]
Therefore, the center of the circle is:
[tex]\left(a,\:b\right)=\left(14,\:-21\right)[/tex]Thus, option (2) is true.
how long can a go-kart travel on 6 gallon of gas
Answers
helpppppp how plssss!!!
Answers
Answer:
c
Step-by-step explanation:
cuz reflect over x axis means just adding a negative sign to the outside?
Find the unit rate for number of parts manufactured per hour if 1620 parts are made in 6 hours.
Answers
Answer:
270 parts per hour
Step-by-step explanation:
given
we are told that 1620 parts are manufactured in 6 hours.
Required
Unit rate.
The unit rate in this context is defined as the number of parts that can be manufactured in one hour
Step two:
To find the unit rate, we have to divide the total parts manufactured by the total time taken
unit rate= 1620/6
unit rate= 270 parts per hour
In a class of 888, there are 333 students who have done their homework. If the teacher chooses 222 students, what is the probability that both of them have done their homework?
Answers
Answer:
3/28
Step-by-step explanation:
3/8 * 2/7 = 6/56 = 3/28
Ben earns an annual income of $12,800 a year. The income tax he has to pay is 15%. What is the amount of income tax in dollars and cents that Ben has to pay?
A $1,664
B $10,880
C 12,000
D $1,920
Answers
Answer:
Step-by-step explanation:
Using I=PRT (interest= principal times rate times time) we can solve the problem
12800 times 0.15 (15%) =1920 then you multiply it by time and then you have your answer
(CO 4) In a sample of 15 stuffed animals, you find that they weigh an average of 8.56 ounces with a standard deviation of 0.09 ounces. Find the 92% confidence interval.
Answers
Answer:
92% Confidence Interval = [8.515, 8.605]
Step-by-step explanation:
The number of samples given is 15,this less than 30, hence, we use the t score confidence Interval
= Mean ± t score × Standard deviation/√n
Mean = 8.56 ounces
Standard deviation = 0.09 ounces
n = 15
We find the degrees of freedom = n - 1
= 15 - 1 = 14
Using the T score table
T score for 92% confidence interval with degrees of freedom 14
= 1.8875
Hence:
Confidence Interval =
= 8.56 ± 1.8875 × 0.09/√15
= 8.56 ± 0.0454010035
Confidence Interval
8.56 - 0.0454010035
= 8.5145989965
≈ 8.515
8.56 + 0.0454010035
= 8.6054010035
≈ 8.605
92% Confidence Interval = [8.515, 8.605]
Thank you so very much
Answers
Answer:
i think the first on means 1/3 is equal to 3
Step-by-step explanation:
second one i think is 2
if i get it rong pls dont be mad
can you please help me with this question and whoever gives me the right answer will be called brainliest
Answers
Answer:
! 2 red cards !
Step-by-step explanation:
Sia draws blue cards for each of her 3 turns: 4 • 3= 12
Sia draws red cards and ends up back at 0: 6 • 2 = 12
12 - 12 = 0
Sia drew 2 red cards since 6 • 2 = 12.
what is 3 1/3 *2/3?
Answers
Answer:2 2/9
Step-by-step explanation:
3 1/3= 10/3, 10/3 x 2/3= 20/9= 2 2/9
Answer:
2.2222222
Step-by-step explanation:
Use a calculator
Casey buys a bracelet. She pays for the bracelet and pays \$0.72$0.72dollar sign, 0, point, 72 in sales tax. The sales tax rate is 6\%6%6, percent.
What is the original price of the bracelet, before tax?
\$\
Answers
Answer: 0.06p = 0.72
p = 12
Step-by-step explanation:
The original price was $12.
Answer:
12
Step-by-step explanation:
PLEASE SOMEONE HELP ME THIS IS DUE IN 4 MINUTES I NEED TO FINISH IT OR I FAIL
Answers
Answer:
rounded is about 70%
Step-by-step explanation:
Reasoning assume that car X and car Y are both traveling at constant speeds. Car X has traveled 186 miles in 3 hours. Car Y has traveled 142 miles in 2 hours.
b) Which graph represents the relationship between distance and tie for Car Y
Answers
Answer:
B
Step-by-step explanation:
i took the same thing
write a pseudocode to calculate the volume of a cylinder
Answers
Step-by-step explanation:
Equation of cylinder: h*pi*r^2
The equation for a cylinder is base times height where the base is a circle of area calculated by pi*r^2. I hope this helps! :)
PLEASE HELP ME !! 100 POINTS
Answers
Answer: i cant read that could you type it out
Step-by-step explanation:
Answer:
can't even see the text, man
Step-by-step explanation:
Estimate the slope of the tangent line to the curve f(x) = x2 at the point (1, f(1)) by examining the trend in the secant slopes calculated.
Answers
Answer:
f'(1) = 2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationCalculus
The definition of a derivative is the slope of the tangent line.
Derivative Notation
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Step-by-step explanation:
Step 1: Define
f(x) = x²
Point (1, f(1))
Step 2: Differentiate
Basic Power Rule: f'(x) = 2 · x²⁻¹Simplify: f'(x) = 2xStep 3: Find Slope
Use the point (1, f(1)) to find the instantaneous slope
Substitute in x: f'(1) = 2(1)Multiply: f'(1) = 2This tells us that at point (1, f(1)), the slope of the tangent line is 2. We can write an equation using point slope form as well: y - f(1) = 2(x - 1)
5^2 i want to know what that is.
Answers
Answer:
25
Step-by-step explanation:
The car travels 440 miles in 8 hours. What is the unit rate?
Answers
Answer:
55 miles per hour
Step-by-step explanation:
Hope it helps :)
Answer:
440/8
Step-by-step explanation:
To clear both of the fractions from fox + 7 = 5 – x, we can multiply both sides of
the equation by which of the following numbers?
6, 10, 16, 30
6 or 10
16 or 30
30 only
6, 10, or 30
Answers
Answer:
6,10,or 30 is your answer
What is the surface area of the pyramid 6 inches height 8 inches length 8 inches width
Answers
Answer:
384
Step-by-step explanation:
Formula:Length x Width x Hight
6x8=48 48x8=384
Have a good day!
The sum of two numbers is 80. The ratio of those two numbers is
3:5. Find the larger number.
Answers
Answer:
the larger number is 50
Step-by-step explanation:
3:5
×10
30:50
30+50=80
Answer:
I think the larger number would be 50
Step-by-step explanation:
I could be wrong but im pretty sure the larger number is 50.
I'm on a test and I need help, the question asks, "What's the slope of the table?"
Answers
Answer:
wym..theres no table
Step-by-step explanation:
Answer:
3.25
Step-by-step explanation:
y=mx+b
m=slope
b=y-intercept
Leon took a total of 12 quizzes over the course of 2 weeks. How many weeks of school will Leon have to attend this quarter before he will have taken a total of 36 quizzes? Solve using unit rates.
Answers
Answer:
6 weeks.
Step-by-step explanation: Because if he answered 12 quizzes in 2 weeks then 12 times 3 equals 36 so then all you have to do is times the weeks by 3.
Use the number line to graph – 12
3
, – 11
3
, –1.5, and –1.
A number line going from negative 2 to positive 1 in increments of 1. There are 3 equal spaces between each number.
Which number is less than –1.5?
–1
–1.5
Negative 1 and one-third
Negative 1 and two-thirds
Answer is d? -1 2/3
Answers
Answer:
its D
Step-by-step explanation:
The number less than –1.5 will be -1 2/3(Negative 1 and two-thirds). Option d is correct.
What is a number line?It is defined as the representation of the numbers on a straight line that goes infinitely on both sides.
It is given that, a number line with increments of 1 from negative 2 to positive 1. Each number is separated by three exactly equal spaces.
Negative numerals are located on the number line to the left of zero. The numbers on the right side of 0 on the number line are reflected in the negative numbers (positive numbers). The negative number line is the term used to describe this section of the number line.
The value - 1.6 is less than -1.5 and represent on the left side of the graph.
Thus, the numbers less than –1.5 will be -1 2/3(Negative 1 and two-thirds). Option d is correct.
Learn more about the number line here:
brainly.com/question/13189025
#SPJ6
Plzzzzz help right answer gets a brainly!
Answers
Answer:
[tex]\frac{5}{7}[/tex]
Step-by-step explanation:
[tex]\frac{25}{35}[/tex] (divide numerator and denominator by 5)
[tex]\frac{5}{7}[/tex]
Answer:
5/7
Step-by-step explanation:
Divide the numerator and the denominator by the Greatest Common Factor, which is 5.
Find the unit rate in yards per hour. 750 yards in 1/4 hour.
Answers
3,000 yards per hour
Rita sells cars. She earns a salary of $800 per month, plus a commission of 2% on all sales. In December, Rita sold $115,500 worth of cars. What were her total earnings in December? ASAP !!!!!! please
Answers
Answer:
3110
Step-by-step explanation:
800 + (115500*2%)
800 + 2310
3110
2.3 x 10^4 x 6.7 x 10^3 divide by
5 x 10-^8
Answers
Answer:
0.3082
Step-by-step explanation:
