Triangle ABC has coordinates A(0, 1), B(0, 2), and C(3, 2). If ΔABC ≅ ΔEDF, what is the measure of DF?
pls help me
Answers
Step-by-step explanation:
If ABC is equivalent to EDF, then DF is equivalent to BC, which form the following ordered pairs:
D = (0,2)
F = (3,2)
It can be seen that both pairs have the same value of "y" or second value, that is 2.
As a rule, when the points are located on the y-axis (of the ordinates) or on a line parallel to this axis, the distance between the points corresponds to the absolute value of the difference of their ordinates.
So,
DF = D(x) + F(x) = 0 + 3 = 3
Answer:
The answer is option 1: 3
Step-by-step explanation:
Just took the test :)
Related Questions
simplify 16 + 15 - 5
Answers
Or
26 I hope this is ok
2x + 3y = 7 and x + y = 3? *
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Answer:
1) 7/2 - 3/2y,
2) 3-y, y
Step-by-step explanation:
See Image below for steps:)
please answer both questions
Answers
Answer:
$24.63
Step-by-step explanation:
Surface area of a sphere = 4πr²
Surface area of the sphere
= 4π7²
= 196π
= 615.752... cm²
The total cost
= 0.04 × 615.752...
= $24.63 (rounded to the nearest hundredth)
A union of restaurant and foodservice workers would like to estimate the mean hourly wage, , of foodservice workers in the U.S. The union will choose a random sample of wages and then estimate using the mean of the sample. What is the minimum sample size needed in order for the union to be confident that its estimate is within of
Answers
Answer: the minimum sample size needed = 145
Step-by-step explanation:
Formula for sample size:
[tex]Sample \ size =(\dfrac{z^*\times standard\ deviation}{margin \ of \ error})^2[/tex]
, where z* = Critical z-value
Given: Standard deviation = 2.15
Margin of error = 0.35
Z* for 95% confidence = 1.96
Sample size = [tex](\frac{1.96\times2.15}{0.35})^2[/tex]
[tex]=(12.04)^2\\\\=144.9616\approx145[/tex]
Hence, the minimum sample size needed = 145
In a group of five students, there are two boys and three girls. The instructor randomly selects one student to record for the group and another student to spy on the other groups. Find P(boy first and girl second), the probability of selecting one of the boys first, and then selecting a girl for the second role
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Answer: The instructor randomly selects one student to record for the group and another student to spy on the other groups.
[tex]\color{yellow}{}[/tex]
How to solve a problem.
Answers
a) [tex]\log \left(\dfrac{A^3B}{C} \right) = 3\log A + \log B - \log C[/tex]
b) [tex]\log \left(\dfrac{\sqrt{A}}{B^2} \right) = \frac{1}{2}\log A - 2\log B[/tex]
(125/64)-1/3 as a radical
-1/3 is square it should be and the top of 64 outside the bracket
Answers
9514 1404 393
Answer:
∛(64/125) = 4/5
Step-by-step explanation:
Maybe you want to express ...
[tex]\displaystyle\left(\frac{125}{64}\right)^{-\frac{1}{3}}=\left(\frac{64}{125}\right)^{\frac{1}{3}}=\boxed{\sqrt[3]{\frac{64}{125}}}[/tex]
__
The denominator of the fractional exponent is the index of the radical. The other applicable rule of exponents here is a^-b = 1/a^b.
question : Suppose you have VND 100 million to save orspend. If you lend, you will receive 112 million after a year. Inflation is 14% / year.
a. What is the nominal interest rate you get?
b. What is the real interest rate?
c. Should you save or spend that money?
d. Question (c) how will be answered if inflation is 10% / year, nominal interest rates do not change?
Answers
Answer:
Step-by-step explanation:
if the average of 6 numbers is 60, what is their sum?
Answers
Answer:
10
Step-by-step explanation:
The average of a dataset is the mean value of the dataset. It is calculated by dividing the sum of the dataset by the number of items in the dataset. The sum of the 6 numbers is 360.
Given that:
[tex]Average = 60[/tex]
[tex]n = 6[/tex] --- the number of data in the dataset
The average of a dataset is represented as:
[tex]Average = \frac{Sum}{n}[/tex]
Make Sum the subject
[tex]Sum = Average * n[/tex]
This gives:
[tex]Sum = 60 * 6[/tex]
[tex]Sum = 360[/tex]
Hence, the sum of the 6 numbers is 360.
Read more about averages at:
https://brainly.com/question/16480181
Plz show work, this is a test. NO LINKS!!!
Answers
Answer:
surface area of the square pyramid
=(32×32)+(2×32×20)
=1024+1280
=2304 square feet
Use the order of operations to simplify the expression
(5.4)² - 5.4²
Answers
Answer:
0
Step-by-step explanation:
(5.4)^2 - 5.4^2
= 5.4^2 - 5.4^2
= 5,4^2(1 - 1)
= 5.4^2(0)
= 0
(select all the correct answers) Which function are correctly graphed
Answers
9514 1404 393
Answer:
A, D
Step-by-step explanation:
The first and last functions are correctly graphed here. The others suffer from misplaced solid/open dots. When the inequality is < or > and does not include the "or equal to" bar (as in ≤ or ≥), then the corresponding end dot is an open circle.
PLEASE PLEASE HELP!!!!
Find the volume of the triangular pyramid to the nearest whole number
A) 170in³
B) 340in³
C) 680in³
D) 1,020³
Answers
Hank can see the top of a tree in a mirror that is placed 475 cm from the tree when he stands 190 cm from the mirror. What is the height of the tree?
Answers
Answer:
The height of the tree is 430cm
Step-by-step explanation:
Given
The attached illustration
Required
The height of the tree
Let:
[tex]h \to[/tex] Hank's height
[tex]H \to[/tex] Tree height
[tex]d \to[/tex] distance between Hank and Mirror
[tex]D \to[/tex] distance between tree and Mirror
From the question, we have:
[tex]\angle 1 = \angle 2[/tex]
This means that:
[tex]\frac{H}{D} = \frac{h}{d}[/tex]
Make H the subject
[tex]H = \frac{h}{d} * D[/tex]
So, we have:
[tex]H = \frac{172cm}{190cm} * 475cm[/tex]
[tex]H = \frac{172* 475cm}{190}[/tex]
[tex]H = \frac{81700cm}{190}[/tex]
[tex]H = 430 cm[/tex]
The serum cholesterol levels (in mg/dL) of 18 individuals are
220, 203, 211, 191, 257, 259, 242, 218, 186, 298, 228, 201, 206, 240, 189, 198, 247, 222
Find the 25th and 90th percentile s for these cholesterol levels.
Answers
Answer:
228 and 222
Step-by-step explanation:
Determine the value of x.
1) 14.75
2)15.25
3)11.92
4)18.56
Answers
6x+10+81.5=180
Combine like terms:
6x+91.5=180
Subtract 91.5 to both sides:
6x=88.5
Divide 6 to both sides:
x=14.75
The answer is 1) 14.75
Hope this helped!
Select 3 sides that can form a right triangle.
Answers
Answer: 14, 48, 50
Step-by-step explanation:
14^2+48^2=50^2
Find the missing length indicated. Please help!!!
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because if you look at where the unmarked side is divided, the one you’re supposed to find is obviously bigger than the other.
Is segment ST tangent to circle P1
Answers
Answer:
B . Yes
Step-by-step explanation:
Recall: a tangent of a circle is perpendicular to the radius of a circle, forming a right angle at the point of tangency.
Therefore, if segment ST is tangent to circle P, it means that m<T = 90°, and ∆PST is a right triangle.
To know if ∆PST is a right triangle, the side lengths should satisfy the Pythagorean triple rule, which is:
c² = a² + b², where,
c = longest side (hypotenuse) = 37
a = 12
b = 35
Plug in the value
37² = 12² + 35²
1,369 = 1,369 (true)
Therefore we can conclude that ∆PST is a right triangle, this implies that m<T = 90°.
Thus, segment ST is a tangent to circle P.
.
6.EE.2c
1. Evaluate the following algebraic expression when x = 3
2xexponet2 + 5x - 10
Answers
Answer:
the answer is 23
Step-by-step explanation:
2x9+15-10
18+15-10
33-10
23
Please help me i need help
Answers
Answer:
H
E
A
R
T
S
Step-by-step explanation:
easy
I’ll give brainliest
Answers
Answer:
C. C = 3P
Step-by-step explanation:
C = total costs
P = number of popsicles
Unit price of 1 popsicle = $3
To get the total cost of popsicles, we need to multiply the number of popsicles bought by the price of each popsicles
Total cost of popsicles = number of popsicles × unit price
Thus, the question would be written as:
C = 3P
Find the area of the triangle to the nearest tenth . Pleaseeee help
Answers
Answer:
15.8 cm²
Step-by-step explanation:
Please see attached photo for diagram.
We'll begin by calculating the angle A. This can be obtained as follow:
B = 56°
C = 78°
A =?
A + B + C = 180 (Sum of the angle in triangle)
A + 56 + 78 = 180
A + 134 = 180
Collect like terms
A = 180 – 134
A = 46°
Next, we shall determine the value of b by using the sine rule. This can be obtained:
Side opposite angle C (c) = 7.2 cm
Angle C = 78°
Angle B = 56°
Side opposite angle B (b) =?
b/Sine B = c/sine C
b/Sine 56 = 7.2/Sine 78
Cross multiply
b × Sine 78 = 7.2 × Sine 56
Divide both side by Sine 78
b = 7.2 × Sine 56 / Sine 78
b = 6.1 cm
Finally, we shall determine the area of the triangle. This can be obtained as follow:
Side opposite angle C (c) = 7.2 cm
Side opposite angle B (b) = 6.1 cm
Angle A = 46°
Area (A) =?
A = ½bcSineA
A = ½ × 6.1 × 7.2 × Sine 46
A = 15.8 cm²
Therefore, the area of the triangle is 15.8 cm²
A survey result shows that cell phone usage among teenagers rose from 63% in 2006 to 71% in 2008.
Of the following choices, which statement about cell phone use among teenagers is true?
a. Cell phone usage rose by 11.2 percentage points.
b. Cell phone usage rose by 12.7 percentage points.
c. Cell phone usage rose by 12.7%.
d. Cell phone usage rose by 8%.
Answers
Answer:
d. Cell phone usage rose by 8%.
Explanation:
71 - 63 = 8
The statement that is true about percentage increase in cell phone use among teenagers is; c. Cell phone usage rose by 12.7%.
How to calculate percentage increase?We are given;
Percentage of teenagers using cell phone in 2006 = 63%
Percentage of teenagers using cell phone in 2008 = 71%
Thus;
Percentage increase = (71% - 63%)/63%
Percentage increase = 12.7%
Read more about Percentage Increase at; https://brainly.com/question/11360390
#SPJ6
how many solution does this equation have 17+4h+2=19−5h+9h?
Answers
Answer:
h=0
Step-by-step explanation:
if you plug it it works
Answer:
The input is an identity, it is true for all values.
Step-by-step explanation:
17 + 4h + 2 = 19 - 5h + 9h
19 + 4h = 19 - 5h + 9h
19 + 4h = 19 + 4h
19 - 19 + 4h = 19 - 19 + 4h
4h = 4h
4h ÷ 4 = 4h ÷ 4
h = h
The input is an identity, it is true for all values.
HELP PLS!!
A circle has been divided into 4 equal angles. is each angle acute, obtuse or right?
Answers
Answer:
Right
Step-by-step explanation:
360/4 = 90
90° is a right angle
Carrie walked 6 miles per day. Which table represents y, the number of miles Carrie walked in x days.
D. Says 1. 18
2. 36
3. 54
4. 72
Answers
Answer:
C
Step-by-step explanation:
Since Carrie walked 6 miles her day, the function that best suits this relationship is given by [tex]y=6x[/tex] where [tex]x[/tex] is the number of days she walked and [tex]y[/tex] is the number of miles.
Table C represents this function [tex]y=6x[/tex] because all y values are exactly 6 times the x value.
Answer:
The answer is C.
Step-by-step explanation:
18 ÷ 3 = 6 miles a day
36÷6 = 6 miles a day
54÷9 = 6 miles a day
72÷12 = 6 miles a day
Ethan is 1.6 metres tall, Uzma is 154 cm tall.
Work out how much taller Ethan is than Uzma.
Answers
Answer:
1.6 metres is 160 centimetres
Ethan is 6 centimetres taller than Uzma
i need help with this one plz! (marking BRAINLIST) :)
Answers
Answer:
x=22
Step-by-step explanation:
the triangle in which x is in is an equilateral triangle.
44 is an exterior angle to that triangle.
an exterior angle is always equal to tbe sum of the opposite 2 interior angles.
because that triangle is equilateral
x =44 ÷ 2
x=22
Can someone help me