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The triangle congruence criteria that can be used to prove that DEF and D'EF are congruent is the SAS rule.
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,
The SAS rule states that "If two sides and the included angle of one triangle are equal to corresponding two sides and included angle of another triangle, then the triangles are congruent"
From ΔDEF and ΔD'EF
DE = D'E
m∠DEF = m∠D'EF
EF = EF
ΔDEF ≈ ΔD'EF
Thus,
The triangle congruence criteria that can be used is the SAS rule.
Learn more about triangles here:
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Simplify (3 + 6i) – (8 - 5i)
Select one:
a, -5 + i
b. 6
C. 16
d. -5 + 11i
Answer:
−5+11i
Step-by-step explanation:
(3+6i)−(8−5i)
Subtract 8−5i from 3+6i by subtracting the corresponding real and imaginary parts.
3−8+(6−(−5))i
Subtract 8 from 3. Subtract −5 from 6.
−5+11i
Step-by-step explanation:
I hope this helps. The answer is D.
On a coordinate plane, 4 points are plotted. The points are (1, 48), (2, 12), (3, 3), (4, 1).
Determine the explicit formula for the geometric sequence represented by the graph.
f(x) = (one-fourth) Superscript x
f(x) = 48 (one-fourth) Superscript x minus 1
f(x) = (4)x
f(x) = 48(4)x – 1
Answer:
f(x)=48 (4)x-1 это просто
Answer:
It is in Fact B.
Step-by-step explanation:
I Took this on Edge and it is right, if you have this question, then it is B.
Rationalize the denominator 18/3root2+1
Answer:
[tex]\dfrac{18(3\sqrt2-1)}{17}[/tex]
Step-by-step explanation:
The given expression is :
[tex]x=\dfrac{18}{3\sqrt2+1}[/tex]
We need to rationalize the denominator.
Multiplying and dividing both sides by [tex]3\sqrt2+1[/tex] as follows :
[tex]x=\dfrac{18}{3\sqrt2+1}\times \dfrac{3\sqrt2-1}{3\sqrt2-1}\\\\=\dfrac{18(3\sqrt2-1)}{(3\sqrt2)^2-1}\\\\=\dfrac{18(3\sqrt2-1)}{(18-1}\\\\=\dfrac{18(3\sqrt2-1)}{17}[/tex]
So, the answer is [tex]\dfrac{18(3\sqrt2-1)}{17}[/tex].
drag each tile to the correct box. not all tiles will be used.
Find the equations with unit rates greater than the unit rate of the graph. then arrange these equations in order from least to greatest unit rate
Answer:
[tex]y=\frac{13}{6}x[/tex] [tex]y= \frac{11}{5}x[/tex] [tex]y = \frac{21}{9}x[/tex] [tex]y = \frac{19}{8}x[/tex]
Step-by-step explanation:
Given
The attached graph
Required
Equations with higher unit rate
First, calculate the unit rate of the graph
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where:
[tex](x_1.y_1) = (0,0)[/tex]
[tex](x_2.y_2) = (7,15)[/tex]
So:
[tex]m = \frac{15 - 0}{7 - 0}[/tex]
[tex]m = \frac{15}{7}[/tex]
[tex]m = 2.143[/tex]
For the given options.
The unit rate is the coefficient of x
So: [tex]y = \frac{19}{8}x[/tex]
Going by the above definition of unit rate.
[tex]m = \frac{19}{8}[/tex]
[tex]m = 2.375[/tex]
[tex]y = \frac{27}{13}x[/tex]
[tex]m = \frac{27}{13}[/tex]
[tex]m = 2.077[/tex]
[tex]y = \frac{21}{9}x[/tex]
[tex]m = \frac{21}{9}[/tex]
[tex]m = 2.333[/tex]
[tex]y= \frac{11}{5}x[/tex]
[tex]m= \frac{11}{5}[/tex]
[tex]m= 2.20[/tex]
[tex]y = \frac{15}{7}x[/tex]
[tex]m = \frac{15}{7}[/tex]
[tex]m = 2.143[/tex]
[tex]y = \frac{31}{15}x[/tex]
[tex]m = \frac{31}{15}[/tex]
[tex]y = 2.067[/tex]
[tex]y=\frac{13}{6}x[/tex]
[tex]m=\frac{13}{6}[/tex]
[tex]m=2.167[/tex]
The unit rates grater than the graph's from small to large are:
[tex]y=\frac{13}{6}x[/tex] [tex]y= \frac{11}{5}x[/tex] [tex]y = \frac{21}{9}x[/tex] [tex]y = \frac{19}{8}x[/tex]
[tex]m=\frac{13}{6}[/tex] [tex]m= \frac{11}{5}[/tex] [tex]m = \frac{21}{9}[/tex] [tex]m = \frac{19}{8}[/tex]
6 divided by 2^5 (9x4-5^5+8)
Answer:
577.6875
Step-by-step explanation:
(6 / (2^5)) * ((9×4) - (5^5) + 8) = 577.6875
i need help please asap i will give heart to first correct comment
Answer:
Step-by-step explanation:
Alicia, use that the area of a triangle is 1/2 base * height
A = 1/2 b * h
2*A /h = b
2*14 / 6 = b
4 2/3 = b
the base is 4 [tex]\frac{2}{3}[/tex] feet :) <3 :P
your car is currently worth 20,000. it is expected to decrease in value by 10% each year. how much will it be by the third year?
Answer:
Your answer would be 14,000 by the third year
help i can’t find this answer
Answer:
(-3,-17)
Step-by-step explanation:
How to solve this type of problem . I haven’t been able to advance .
Answer:
P=78,56 If something is not clear to you, just ask, I will be happy to help :)
Step-by-step explanation:
To calculate the total area of a figure, you divide it into several shapes.
P1, P2, and P3 are the area of the rectangle, P4 is the area of the square, and P5 is the area of one-quarter of the circle.
P1=a*b
P1=8*6
P1=48
P2=a*b
P2=3*2
P2=6
P3=a*b
P3=4*2
P3=8
P4=[tex]a^{2}[/tex]
P4=[tex]2^{2}[/tex]
P4=4
P5=[tex]\frac{1}{4} * r^{2} *\pi[/tex]
P5 = [tex]\frac{1}{4} * 4^{2} * \pi[/tex]
P5 =4[tex]\pi[/tex] or approximately 12,56
P = P1+P2+P3+P4+P5
P = 48+6+8+4+12,56
P=78,56
What is the solution to the system of equations graphed below?
o
A. (1,1)
B. (0, -4)
C. (2.5)
D. (-5.-3)
Answer: b
Step-by-step explanation:
determine the following
Answer:
Step-by-step explanation:
A drink and a sandwich together cost $4.85. The sandwich cost $1.35 more than the drink. How much does the sandwich cost.
The sandwich will cost $3.1.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
Summation = addition of two or more numbers or variable
For example = 2 + 8 + 9
Subtraction = Minus of any two or more numbers with each other called subtraction.
For example = 4 - 8
Division = divide any two numbers or variable called division.
For example 4/8
Multiplication = to multiply any two or more numbers or variables called multiplication.
For example 5 × 7.
Let's say the cost of 1 drink is d while the cost of 1 sandwich is s
Now,
Given that,
A drink and a sandwich together cost $4.85.
So,
s + d = 4.85
And,
The sandwich cost $1.35 more than the drink.
So,
s = 1.35 + d
By using substitution
s = 1.35 + 4.85 - s
2s = 6.2
s = 3.1
Hence "The sandwich will cost $3.1".
To learn more about the arithmetic operators,
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3 x 2 x 4 + 2 - 23 + 7 x 2
A.10
B.17
C.20
D.22
Please answer asp
Also please show steps
Answer:
17.....
....................
The UAE Special Forces usually accepts about 12% of applicants. This year 2.330 soldiers
applied. About how many will be accepted? *ROUND to nearest whole number
Answer me please!
Answer:
280 soldiers
Step-by-step explanation:
Given data
Acceptance rate= 12%
Number of applicants= 2,330 soldiers
Let us find 12% of 2330
= 12/100*2330
= 0.12*2330
=279.6
Therefore, approximately 280 soldiers will be accepted
Can someone just help me with this simultaneous equations with substitution. I’ve asked ten times and no one has helped. Please
Answer:
I've answered this for you in your previous question. Hope it helped
Answer:
[tex]\huge\boxed{\sf Solution\ Set = \{x,y\} = \{1,2\}}[/tex]
Step-by-step explanation:
3x + 4y = 11 ----------------------(1)
x = 15 - 7y ----------------------(2)
Put Eq. (2) in (1)
3(15 - 7y) + 4y = 11
45 - 21y + 4y = 11
45 - 17y = 11
Subtracting 45 to bot sides
-17y = 11 - 45
-17y = -34
Dividing both sides by -17
y = -34 / -17
y = 2
[tex]\rule[225]{225}{2}[/tex]
Put y = 2 in Eq. (2)
x = 15 - 7(2)
x = 15 - 14
x = 1
[tex]\rule[225]{225}{2}[/tex]
Solution Set = {x,y} = {1,2}
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Question 4(Multiple Choice Worth 4 points)
(7.02)
What is the value of q in the equation 5q- 10 = 75?
017
O 60
65
O 85
Answer:
17
Step-by-step explanation:
divide by 5 both side and q will be:
q-2=15 then take 2 to the other side which will be positive . therefore
q=17
Five adult tickets and three child tickets for a movie cost £58.
Two adult tickets and eight child tickets for a movie cost £47.
Find the cost of each type of ticket.
Answer:
Step-by-step explanation:
Answer:
so for the first one the cost for all the tickets is 412
for the last one the cost is 333
Step-by-step explanation:
Seven - tenths of the votes for blue were made by girls. Did girls who voted for blue make up more than or less than half of all votes.
Answer:
More than half
Step-by-step explanation:
10/10 would be one whole, and half of ten is 5, which makes 5/10 equal to one half. 7 is greater than 5, so that means 7/10 is more than one half. Hope this helps!
Which inequality represents: 3 is less than y minus 2
Answer:
3>y-2
Step-by-step explanation:
your welcome i think
PLEASE HELP!! I WILL REWARD BRANIEST!
Answer: nate
Step-by-step explanation:
nate because 7.905 is higher than all of them
Find the slope of the line 8x-2y=11
The number of motorcycle helmets produced in a factory each day is a function of the
number of hours (h) the assembly line is in operation that day and is given by n =
P(t) =
75t-2t^2. The cost C of producing the helmets is a function of C(n) = 7n + 1000
Answer:
C(t)=525t-14t²+1000
Step-by-step explanation:
n =P(t) =75t-2t²
C(n) = 7n + 1000
(sub in 75t-2t² for n)
C(t)=7(75t-2t²)+1000
C(t)=525t-14t²+1000
Find the volume of each composite figure. Show Work
Question 5 (5 points)
✓ Saved
(06.02 LC)
A scatter plot is shown:
Which graph best represents the line of best fit for this scatter plot? (5 points)
Answer:
I would say the answer is 2
Step-by-step explanation:
What is the value of y?
Answer:
y = 25
Step-by-step explanation:
180 - 115 = x
x = 65
x + 90 + y = 180
65 + 90 + y = 180
y + 155 = 180
y = 25
Answer:
y = 25°
Step by Step explanation
Ken flips 2 fair coins.
What is the probability of obtaining the same result on each coin?
Answer:
Hello there! There is a 1/4 chance of getting the same result on both flips, keeping in mind that a coin only has 2 sides.
Step-by-step explanation:
There is a 1/2 chance of getting a result on one flip. So we now have to multiply that by getting the same result on another flip.
1/2 × 1/2 = 1/4
Hope this helps! :)
The probability of obtaining the same result on each coin will be 1/2.
What is probability?Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.
Then the probability is given as,
P = (Favorable event) / (Total event)
Ken flips 2 fair coins. The total events are given as,
Total event = 2 x 2
Total event = 4 {TT, HT, TH, HH}
The probability of obtaining the same result on each coin will be given as,
Favorable events = 2 {TT, HH}
P = 2 / 4
P = 1/2
The probability of obtaining the same result on each coin will be 1/2.
More about the probability link is given below.
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please answer! will give brainliest
Answer:
5
Step-by-step explanation:
2+4+6+8 = 20
20 / 4 = 5
PLEASE HELP ACELLLUS
9514 1404 393
Answer:
(-2)
Step-by-step explanation:
Put the point values in the given equation to see what the missing number is.
y = 1/2x + (_)
2 = 1/2(8) + (_) . . . . . substitute the given values
2 = 4 + (_) . . . . . . . . simplify
-2 = (_) . . . . . . . . . . . subtract 4
The green ? should be filled with -2.
here are two numbers which add up to 17. If one number is 13 more than the other, find the two numbers.
Answer:
X+y=17
X=y+13
y+13+y-13=17-13
2y. =4
y=2.
X=2+13
X=15
the two numbers are 2 and 15
Pretty easy question just stuck and need help ASAP
Answer:
Step-by-step explanation:
m1+m2=180
3x+x+44=180
4x+44=180
4x=136
x=34
m1=3x=3(34)
m1=102 degrees
m2=x+44=34+44
m2=78 degrees
Answer:
The two angles added together are equal to 180 degrees because they lie on a straight line and a straight line is always equal to 180 degrees.
∠1 + ∠2 = 180°
∠1 = 3x, ∠2 = x + 44
Substitute the values of ∠1 and ∠2
3x + x + 44 = 180
4x + 44 = 180
4x = 136
x = 34
If x = 34,
∠1 = 3 * 34 = 102°
∠2 = 34 + 44 = 78°