Answer:
asa
Step-by-step explanation:
yas
∠ACB and ∠DCE are vertical angles.
∠B ≅ ∠E
BC ≅ EC
The congruence theorem that can be used to prove ΔABC and ΔDEC is ASA.
Option A is the correct answer.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
Triangles:
ABC and DEC
The congruence theorem that is used to prove two triangles are:
ASA = angle side angle
SSS = side side side
SAS = side angle side
∠ACB and ∠DCE are vertical angles.
∠B ≅ ∠E
This means that angles B and C are congruent.
BC ≅ EC
This means that sides BC and EC are congruent.
From the given conditions we see that,
∠ACB and ∠DCE are vertical angles
This is an angle condition.
∠B ≅ ∠E
This is an angle condition.
BC ≅ EC
This is a side condition.
Thus,
The congruence theorem that can be used to prove ΔABC and ΔDEC is ASA.
Option A is the correct answer.
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Factor -5 out of 10a-25
Please help with a step-by-step explanation!!
Answer:
-5(-2a + 5)
Step-by-step explanation:
10a - 25
-5(-2a + 5)
Answer:
-5(-2a+5)
Step-by-step explanation:
your dividing each number by -5, to get -5 factored.
10 / -5 = -2
-25 / -5 = 5
then you plug it back into the equation with the 5 being factored.
You move up 2 units. You end at (3, 10). Where did you start?
Answer:
no entiendo
Step-by-step explanation:
Answer:
(3,8)
Step-by-step explanation:
Juan earns $7 per hour plus $20 per week making picture frames.
a) Write a function g(x) for Juan’s total earnings if he works x hours in one week.
b) Without graphing the function, determine the slope.
Answer:
15
Step-by-step explanation:
The function for the given situation is g(x)=7x+20.
Given that, Juan earns $7 per hour plus $20 per week making picture frames.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
a) Let the number of hours in a week be x.
So, function is g(x)=7x+20
y=7x+20
b) Compare y=7x+20 with y=mx+c, we get m=7
So, slope is 7
Therefore, the function for the given situation is g(x)=7x+20.
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Find the center and radius of the circle with the equation: (x-5)^2+(y+1)^2=4
Answer:
Centre (5,-1) radius =2
Step-by-step explanation:
(x-5)^2+(y+1)^2=4
The standard equation of the circle is
(X-a)^2+(y-b)^2=r^2
Where a,b is centre of the circle and r is the radius of the circle
Compare the equations
So we get a=5,b=-1 and r=2
Centre (5,-1) radius =2
What value of y makes the equation true? -7/12 = y/-36
Answer:
y= 21
Step-by-step explanation:
-7/12=y/-36
Switch sides
y/-36=-7/12
Multiply both sides by -36 and simplify
y=21
Hope this helped! :)
Plz help me i’ve been stuck on this one for a while
Answer:
the 2nd one
Step-by-step explanation:
Answer:
9/12 and 10/12
Step-by-step explanation:
LCM of 4 and 6 = 12Alter the numerators to fit the denominators as shown in steps 3 and 43 × 3 = 95 × 2 = 12Re-write the expression: 9/12 + 10/12I hope this helps!
If a windmill with radius 26 feet makes 12 full revolutions every 1 minute, what is its linear speed?
The linear speed of the windmill is 1,960.35 feet per minute.
Given data:
To calculate the linear speed of the windmill, determine the distance traveled by a point on the circumference of the windmill in 1 minute.
The circumference of a circle can be calculated using the formula:
Circumference = 2 * π * radius
Given that the radius of the windmill is 26 feet, the circumference is:
Circumference = 2 * π * 26
Now, the windmill makes 12 full revolutions every 1 minute. Since one revolution is equivalent to one circumference, the total distance traveled in 1 minute is:
Distance = 12 * Circumference
Substituting the value of the circumference:
Distance = 12 * (2 * π * 26)
Simplifying this expression:
Distance = 24 * π * 26
Therefore, the linear speed of the windmill is equal to the distance traveled divided by the time taken, which is 1 minute:
Linear speed = Distance / Time
Linear speed = 24 * π * 26 / 1
Calculating this value, the linear speed of the windmill:
Linear speed ≈ 1,960.35 feet per minute
Hence, the linear speed is 1,960.35 feet per minute.
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When commercial aircraft are inspected, wing cracks are reported as nonexistent, detectable, or critical. The history of a particular fleet indicates that 70% of the planes inspected have no wing cracks, 25% have detectable wing cracks, and 5% have critical wing cracks. Five planes are randomly selected. Find the probability that at least one plane has critical cracks.
Answer:
0.226
Step-by-step explanation:
Given that:
No wing crack (x) = 70%
Detectable wing crack (y) = 25%
Critical wing crack (z) = 5%
Number of samples (n) = 5
Probability that atleast a plane has critical crack:
1 - p(no critical crack)
Using the multinomial distribution calculator :
P(5,0,0) + p(4,1,0) + p(3,2, 0) + p(2,3,0) + p(1,4,0) + p(0,5,0)
From the calculator :
P(5,0,0) + p(4,1,0) + p(3,2, 0) + p(2,3,0) + p(1,4,0) + p(0,5,0) = 0.7741
1 - 0.7741 = 0.2259
= 0.226
In ∆PQR,p:q:r=√3:1:1. Calculate the ratio p:q:r in its simplest form.
9514 1404 393
Answer:
p : q : r = √3 : 1 : 1
Step-by-step explanation:
The ratio is already in simplest form. It cannot be expressed as the ratio of integers, because √3 is irrational.
Elena biked 8 miles on Saturday. Use the double number line to answer the questions. Be prepared to explain your reasoning. A) What is 100% of her Saturday distance? B) On Sunday, she biked 75% of her Saturday distance. How far was that? C) On Monday, she biked 125% of her Saturday distance. How far was that?
Answer:
A - Since Elena biked for 8 miles on Saturday, 100% of her distance traveled was 8 miles.
B - Now, on Sunday she traveled 75% of what she traveled on Saturday, which arises from the following calculation:
8 x 0.75 = X
6 = X
So on Sunday she traveled 6 miles.
C - Finally, on Monday she traveled 125% of what she traveled on Saturday, which arises from the following calculation:
8 x 1.25 = X
10 = X
So on Monday she traveled 10 miles.
Answer:
I agree with the one above me
Step-by-step explanation:
Alisha conducted an experiment in which a spinner landed on green 7 times. If the experimental probability of the spinner landing on green is 1 5 , how many trials did Alisha perform? 30 35 45 50
Answer:35
Step-by-step explanation:
Answer:
35
Step-by-step explanation:
just got it right on edge
Miriam pays a service to deliver the chair to her house. Her bill is $24.75, and she tips the driver 20% of the cost of delivery. What is the total expense for the delivery?
Answer:
29.7
Step-by-step explanation:
Joel wants to find the best model for a bivariate data set that he is working with. He used a calculator to create a linear model, a
quadratic model, and an exponential model. The coefficient of determination for the linear model was 0.45. The coefficient of
determination for the quadratic model was 0.38, and the coefficient of determination for the exponential model was 0.51.
Which model should he use to represent the data set?
Answer:
exponential
Step-by-step explanation:
just took the test
A teacher has an annual income of $41,253. The income tax rate is 15%. What is the amount of the teacher's income tax in dollars and cents?
Answer:
$6,187.95
Step-by-step explanation:
17. 1,000 X n = 630
n =
Answer:
0.63 or 63/100
Step-by-step explanation:
Answer:
0.63
Step-by-step explanation:
For this you would want to do the reverse operation. So you see that it is multiplication? You would have to do division to get n by itself. When you divide 630 by 1,000 you would get 0.63.
david is drinking a sports drink that us 24 ounces. he drinks 3 ounces in 5 minutes what percentage of the sports drink will david have finished after 30 minutes
Answer:
18 ounces
Step-by-step explanation:
5 x 6= 30
3 x 6= 18
Which expression is equivalent to "the firth
power of (5 + 7)"?
Answer:
[tex]\left(5+7\right)^5=248832[/tex]
Step-by-step explanation:
The fifth power of (5+7) can be written as:
[tex]\left(5+7\right)^5[/tex]
Solving the expression to determine its equivalent
[tex]\left(5+7\right)^5[/tex]
Calculating within parentheses
[tex]=12^5[/tex]
[tex]=248832[/tex]
Therefore,
[tex]\left(5+7\right)^5=248832[/tex]
PLZ HELP ME IN DUE IN 15 MIN!!
Answer:
i got this i think
Step-by-step explanation:
PR:S
SU:P
PS:Q
If the square below has an area of 50, what is the value of x
Answer:
10
Step-by-step explanation:
A= L²
50 = L² (do opposite operation to find L)
L = 7.07
x²= L²+ L²
x²= 7.07² + 7.07²
x² = 100 ( do opposite operation to make x the subject)
x = 10
Note: opposite operation of square is square root
help asap important question one
Answer:
B.
Step-by-step explanation:
They'd have to be exactly the same to ave infinitely many solutions.
PQRS is an isosceles trapezoid. Find the value of each variable. What does x+y+z=? Just write the final number value. *
Answer:a
Step-by-step explanation:
I got it right
Answer:
x + y + z = 41.5
Step-by-step explanation:
(5x)° = 100°
x = 20
(4y + 10)° + 100° = 180° ⇒ y = [tex]\frac{35}{2}[/tex] = 17.5
(4z² + 16)° + 100° = 180° ⇒ z = 4
x + y + z = 20 + 17.5 + 4 = 41.5
A number is called flippy if its digits alternate between two distinct digits. For example, 2020 and 37373 are flippy, but 3883 and 123123 are not. How many five-digit flippy numbers are divisible by 15?
Answer:
4 numbers
Step-by-step explanation:
Given
Five Digit Flippy Numbers
Required
Determine the number of these digits divisible by 15
Represent the format of this digits as: ABABA
A number is divisible by 15 if and only if it ends with 5 or 0
i.e.
[tex]ABABA = 0B0B0[/tex]
or
[tex]ABABA = 5B5B5[/tex]
The first format [tex]ABABA = 0B0B0[/tex] cannot be considered because the number starts with 0 which means that
[tex]ABABA = B0B0[/tex] ---- This is 4 digits not 5
Taking into consideration: 5B5B5
We know that 15 is a product of 5 and 3
i.e.
[tex]15 = 5 * 3[/tex]
5B5B5 is divisible by 5 because it ends with 5. So, for a number of this format to be divisible by 15, it must be divisible by 3
Numbers in this category are: 50505, 53535, 56565 and 59595
Hence, there are 4 five-digit flippy numbers divisible by 5.
if if you answer correctly ill give brainliest
PLS HELP. URGENT
Serena and Derek have 270 stickers in all. Serena has 25% more stickers than Derek. How many stickers does Derek have? (Type out your work and answer)
Diego is 165 cm tall andre is 1.7m tall how many centimeters tall is andre
Answer:
he is 170cm tall
Step-by-step explanation:
Answer:
Andre is 170 cm tall.
Step-by-step explanation:
There are 100 centimeters in a meter. To find the answer, we would multiply 1.7 by 100 to convert it to centimeters.
1.7 × 100 = 170
or
1.7 × 10² = 170
Which are the vertically opposite angles?
Which are the supplementary angles?
Which are the adjacent angles?
Which statements involving cosine and sine are true? Check all that apply.
sin(–45°) = –sin(45°)
sin(–45°) = sin(45°)
cos(–45°) = –cos(45°)
cos(–45°) = cos(45°)
cos(–45°) = sin(–45°)
Answer:
sin(–45°) = –sin(45°)
cos(–45°) = cos(45°)
Step-by-step explanation:
The statements which involving cosine and sine are true are sin(–45°) = –sin(45°) and cos(–45°) = cos(45°).
What are Trigonometric Ratios?Trigonometric ratios are the ratios which is described for two sides of a right angled triangle.
The main three trigonometric ratios are sine, cosine and tangent functions.
Trigonometric functions are also called as Circular functions.
There are five statements given.
We have the identities that,
sin (-x) = - sin(x) and
cos (-x) = cos x
Using this for each of the statement,
sin(–45°) = –sin(45°) is true.
sin(–45°) = sin(45°) is false
cos(–45°) = –cos(45°) is false
cos(–45°) = cos(45°) is true
For the last one,
cos(–45°) = cos (45°) = sin (45°) ≠ sin(–45°)
So this is false.
Hence the true statements are sin(–45°) = –sin(45°) and cos(–45°) = cos(45°).
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Write 2.5896 X 10° in standard notation.
Answer:
2.5896
Explanation:
Zero power rule: The zero exponent rule states that any number raised to a power of zero equals one.
10^0 is 1, so nothing changes
what are 1 step equations
Answer:
A one-step equation is an algebraic equation you can solve in only one step. You've solved the equation when you get the variable by itself, with no numbers in front of it, on one side of the equal sign.
Step-by-step explanation:
:D
Is 8, 9, 14, 5 solutions to y ≤ 9?
Answer:
y ≤ 9 is saying that y is equal to anything 9 and below. Therefore, 9, 8, and 5 are correct answers since they are either equal to or less then 9. Although 14 is the only incorrect one.
14 is incorrect
Step-by-step explanation: