Answers
1) the side AC is common (as you can see, both triangles share the side AC)
2) angle DCA is equal to angle BAC (this is due to alternate angles)
3) angle BCA is equal to angle DA (again, this is due to alternate angles)
Related Questions
Kathy has $50 in her bank account right now. After three
days she had $35 left. What is her rate of change per day?
Think about if she is making or spending money. Just write
the number.
Answers
Answer:
$5
Step-by-step explanation:
Graph the line that passes through the points (3,-4) and (3,-1) and determine
the equation of the line.
Answers
Answer:
The equation of a line:
x = 3The graph of the line is attached below.
Step-by-step explanation:
Given the points
(3, -4)(3, -1)Finding the slope between (3,-4) and (3,-1)
(x₁, y₁) = (3,-4)
(x₂, y₂) = (3, -1)
Using the slope formula
m = y₂-y₁ / x₂-x₁
= -1-(-4)) / 3 - 3
= -1 + 4 / 0
m = ∞
The slope of the line is undefined, then, by definition, the line would be a vertical line.
As the line that passes through the points (3,-4) and (3,-1)
For a vertical line, the value of x is the same for each and every value of y.Thus, the equation of a line:
x = 3The graph of the line is attached below.
Simplify:
24 ÷ 4 × 3 - 6 × 5
A. -28
B. -12
C. 60
D. -20
Answers
Answer:
Ameliorate retort, pertaining to reinstating interrogate is B., -12.
Step-by-step explanation:
Availing albeit maneuvering the Order of Operations (OO), the contiguous albeit proximate expression may evaluate as the preeminent imminent:
Groups: Not identified.Exponents: Not identified. Multiplication/ Division: 6 · 3 - 6 · 5 ⇒ Addition/ Subtraction: 18 - 30 = -12- Thus, the ameliorate retort, reinstating interrogate is the aggregate, -12.
*Hope this helps.
Find the inequality represented by the graph - khan academy
PLEASE HELP
Answers
Answer:
y ≤ x - 1
Step-by-step explanation:
The slope is 1 (every unit for x, there is a unit for y, rise/run is 1/1). The y-intercept is -1, because the line crosses the y-axis at -1. The graph is shaded below the line, and the line is solid, meaning that y is less than or equal to x -1, or y ≤ x - 1.
How many solutions does 46x– 23 = 46x + 23 have
Answers
Answer:
no solution
Step-by-step explanation:
Let's first try to solve this.
Notice that there is a 46x term on both sides, so we can subtract both sides by 46x, leaving us with:
-23 = 23
Well... this is a false statement: -23 does not equal 23.
Thus, this as no solution.
Answer:
No solutions found
Step-by-step explanation:
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
46*x - 23 - (46*x + 23) = 0
Equations that are never true
Solve : -46 = 0
This equation has no solution.
A non-zero constant never equals zero.
Madeline has to earn at least 80 points for her science fair project. So far on the rubric she has 64 points. What is the minimum number of points that Madeline needs to earn?
F. x ≥ 96
G. 96 ≥ x
H. x ≤ 16
J. 16 ≤ x
Answers
The solution is : she needs at least 16 points.
x + 64 ≥ 80
x ≥ 16
What is inequality?An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.
here, we have,
Given
Madeline has to earn at least 80 points for her science fair project. So far on the rubric she has 64 points.
so,
Total = 80 (at least)
accumulated = 64
Required
Express as an inequality
In inequalities, at least means ≥
So, the expression is:
Where x represents the additional points
x + 64 ≥ 80
Solve for x
x ≥ 16
Hence, she needs at least 16 points.
To learn more on inequality click:
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Which statement best represents the distance on a number line between -14 and -5?
Answers
Answer:
C my dude. have a merry christmassss
Answer:
A
Step-by-step explanation:
Both are negative, and largest is always first.
0.000603 in scientific notation
Answers
The average person laughs 15 times per day.
Answers
Find the shortest distance from point A to the given line.
y = 3x +1 ; A (3,0)
What is the shortest distance from point A to the line?
Answers
Step-by-step explanation:
please i work on by paper worksheet, see it
how can i work it
Write a word description of the set.
{−6, −5, −4, −3, −2, −1}
Answers
Hope this helps!
Which function represents the sequence -5.5, -4.75 -4,-3.25... ?
Answers
C main
I need help with number 20 please help!!!
Answers
Help look at picture attached I will mark brainliest
Answers
Answer:
angle 3=145
Step-by-step explanation:
1 is complementary meaning add up to 90 so if 1 is 55 then 90-55=35. m<2=35
if 2 and 3 is supplementary meaning adds up to 180 then 180-35=145
4.06 = 0.19 = 0.29 = 0.86 = 19% 29% 38% 332% 247% 293% 2.98 = 406% 0.81 = 353% 2.93 = 22% 4.61 = 86% 6% 81% 483% 41% 422% 461% 3.35 = 298% 0.68 = 68% FINISH 55% 0.38 = 424% 71% 413% 315% 26% 88% 92% 2.4 = 335% 0.74 = 74% 3.32 = 3.53 = 172% 248% 240% 125% 28%
Answers
Answer:
what are you asking though
Use the diagram below to answer the question. There is a small building that is 24 feet tallThe fire fighter is standing 7 feet away from the building.
Answers
Answer:
24- 7 = 17
Step-by-step explanation:
Please help due soon!
Answers
D = 6sqrt3
In a 45,45,90 triangle the hypotenuse is (x)sqrt2 while the side lengths are equivalent being a single value x. Therefore, when given the hypotenuse and solving for the leg, divide 4 by sqrt2 to get 4sqrt2/2 which simplifies to 2sqrt2 when the denominator and numerator cancel.
In a 30,60,90 triangle the short leg x is across from the 30 degree angle meaning the angle across from the 60 degree angle is x times the sqrt of 3. Therefore the long leg is 6sqrt3
PLEASE ANSWER THIS ASAP !!!!!!
Answers
Answer:
y = - x
Step-by-step explanation:
The equation of a line passing through the origin is
y = mx ( m is the slope )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 2) and (x₂, y₂ ) = (2, - 2) ← 2 points on the line
m = [tex]\frac{-2=2}{2+2}[/tex] = [tex]\frac{-4}{4}[/tex] = - 1 , thus
y = - x ← equation of line
A school wants to buy some new desks and chairs. If it buys 40 desks and 100 chairs, the
total cost is $1100; if it buys 50 desks and 80 chairs, the total cost is $1150. What is the
price of a desk and a chair
Answers
Answer: The price of desk is 15 and the price of the chairs 5
Step-by-step explanation:
are all equilateral triangles acute?
Answers
Answer:
Yes, all equilateral triangles are acute.
Step-by-step explanation:
yea
hope this helps :)))
what is the answer?
Answers
Answer:
A S A
Step-by-step explanation:
In ΔACE & ΔBCD,
∠A ≅ ∠B {Given} Angle
AC = BC {Given} Side
∠ACE = ∠BCD { Reflexive property} Angle
ΔACE ≅ ΔBCD ------>A S A Property
The slope of a vertical line is:
Answers
Answer:
The slope of a line is change in Y / change in X. The slope of a horizontal line = 0, not undefined. The slope of a vertical line = undefined.
the slope of a virtual lin.e is change in Y / change in X
3
There are 900 students in a school.
47% of the 900 students are girls.
Work out the number of girls in the school.
Answers
Because 900 divided by 100 is 9 and 9 times 47 is 423
Please help me with this question I need the answer
Answers
Answer:
I think the answer is A
Step-by-step explanation:
Answer:
First of all A and B are Letters not numbers...
Answer: a-b
Step-by-step explanation:
Ryan and his brother, Russell, made photo frames for their grandma's birthday. They used shells they collected from the beach near her house. Ryan glued 9 white shells and 15 orange shells to the border of his frame. Russell glued 8 white shells and 10 orange shells to the border of his frame. Did the two frames have the same ratio of white shells to orange shells?
Answers
Answer: No. The two frames does not have the same ratio of white shells to orange shells.
Step-by-step explanation:
Ryan glued 9 white shells and 15 orange shells to the border of his frame. This will give us a fraction of:
9/15 = 3/5
The ratio is 3:5
Russell glued 8 white shells and 10 orange shells to the border of his frame. This will give us a fraction of:
= 8/10 = 4/5
The ratio will be 4:5.
Therefore, the two frames does not have the same ratio of white shells to orange shells.
PLS HELP TON OF POINTS AND BRAINLIEST
Answers
Answer:
sss axiom
Step-by-step explanation:
Answer:
wa pow
Step-by-step explanation:
exposed clout chaser
Answers
In 2012, the population of a city was 5.69 million. The exponential growth rate was 2.87% per year. a) Find the exponential growth function. b) Estimate the population of the city in 2018. c) When will the population of the city be 8 million? d) Find the doubling time. a) The exponential growth function is P(t) nothing, where t is in terms of the number of years since 2012 and P(t) is the population in millions. (Type exponential notation with positive exponents. Do not simplify. Use integers or decimals for any numbers in the equation.)
Answers
Answer:
a) The exponential growth function
P(t) = 5,690,000(1.0287)^t
b) 6,742,868.7374 million
c) 12.04 years
d) 2439.0243902
Step-by-step explanation:
In 2012, the population of a city was 5.69 million. The exponential growth rate was 2.87% per year.
The formula for exponential growth is given as:
P(t) = Po( 1 + r) ^t
Where P = Population size after time t
Po = Initial population size
r = Growth rate in percentage
t= time in years
a) Find the exponential growth function.
P(t) = Population size after time t
Po = Initial population size = 5.69 million
r = Growth rate in percentage = 2.87% = 0.0287
t= time in years
The Exponential growth function
P(t) = 5,690,000(1 + 0.0287)^t
P(t) = 5,690,000(1.0287)^t
b) Estimate the population of the city in 2018.
From 2012 to 2018 = 6 years
t = 6 years
Hence,
P(t) = Po( 1 + r) ^t
P(t) = 5,690,000(1 + 0.0287)^6
P(t) = 5,690,000(1.0287)^6
P(t) = 6,742,868.7374 million
c) When will the population of the city be 8 million?
P(t) = 8,000,000
P(t) = Po( 1 + r) ^t
P(t) = 5,690,000(1 + 0.0287)^t
8,000,000 = 5,690,000(1 + 0.0287)^t
8,000,000 = 5,690,000(1.0287)^t
Divide both sides by 5,690,000
8,000,00/5,690,000 = 5,690,000(1.0287)^t/5,690,000
= 1.4059753954 = 1.0287^t
Take logarithm of both sides
log 1.4059753954 = log 1.0287^t
Log 1.4059753954 =t Log 1.0287
t = Log 1.4059753954/Log 1.0287
t = 12.041740264
t = 12.04 years
d) Find the doubling time.
The formula is given as 70/Growth rate
= 70/0.0287
= 2439.0243902
Pls help I need this done soon and I suck at math
Answers
Answer: 4.5
Hope this helps :)
Is 9.78778777... a rational or irrational number?
Answers
The given decimal number 9.78778777... is non-terminating and non-recurring it is an irrational number.
The given decimal number is 9.78778777....
We need to check whether the given decimal number is a rational or irrational number.
What are rational and irrational numbers?Rational numbers: Rational numbers are in the form of p/q, where p and q can be any integer and q ≠ 0. This means that rational numbers include natural numbers, whole numbers, integers, fractions of integers, and decimals (terminating decimals and recurring decimals).
Irrational numbers: Irrational numbers are the set of real numbers that cannot be expressed in the form of a fraction, p/q where p and q are integers. The denominator q is not equal to zero (q ≠ 0). Also, the decimal expansion of an irrational number is neither terminating nor repeating.
So, from the definition of rational and irrational numbers, we can say the given decimal number 9.78778777... is irrational.
Since the given decimal number 9.78778777... is non-terminating and non-recurring it is an irrational number.
To learn more about rational and irrational numbers visit:
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