According to the solving it is proved that DE is parallel to BC.
What do we mean by coordinates?Coordinates are numerical lengths or angles that uniquely identify points on two-dimensional (2D) or three-dimensional (3D) surfaces ( 3D ). Mathematicians, physicists, and engineers employ a variety of coordinate systems.
What does a parallel mean?In-parallel refers to something that is the same distance as well as the direction away from something else. Two lines of individuals standing straight across from each other is an example of in-parallel. noun. 1. In-parallel means traveling the same direction and distance as something else.
According to the given data:To obtain the coordinates of each midpoint, use the midpoint formula.
(x, y) = (½ (x₁ + x₂), ½(y₁ + y₂))
Coordinates of D:
(x, y) = (½ (4 + 2), ½(6 + -2))
(x, y) = (3, 2)
Coordinates of E:
(x, y) = (½ (4 + -2), ½(6 + -4))
(x, y) = (1, 1)
Slope of DE:
m = Δy / Δx
m = (2 − 1) / (3 − 1)
m = 1/2
Slope of BC:
m = Δy / Δx
m = (-2 − -4) / (2 − -2)
m = 1/2
Therefore, DE is parallel to BC.
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Find the five number summary for Q3
If D is the midpoint of CE¯¯¯¯¯¯¯¯, CD = x + 7, and CE = 5x - 1, determine each missing value.
x=
CD=
CE=
DE=
Answer:
5; 12; 24; 12.
Step-by-step explanation:
1) if D is midpoint, then 2*CD=CE, it means
2) 2(x+7)=5x-1; ⇔ 3x=15; ⇒ x=5;
3) CD=x+7; ⇒ CD=12;
CE=5x-1; ⇒ CE=24;
DE=CD; ⇒ DE=12.
what best describes the mutually exclusive in statistics?
The best description of mutually exclusive in statistics is a. At least one and only one event occurs.
What does mutually exclusive mean?When two or more events are said to be mutually exclusive, it means that they cannot happen at the same time. If one event happens, then the other event/s cannot happen.
Another way to say this therefore is that at least one event will happen in a mutually exclusive condition, and only that one event will happen.
Options for this question include:
a. At least one and only one event occurs b. Only one event occurs c. More than one event occurs d. At least one event occursFind out more on mutually exclusive events at https://brainly.com/question/12961938
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PLEASE HELP MEEEE ILL MARK AS BRAINLIEST
For which table would 70 be the missing value, x?
Answer:
Table 3 → 5 (5× 14=70)
A computer programmer receives a weekly wage of $1350, and &229.50 is deducted for income tax. Find the percent of the computer programmer’s salary deducted for income tax.
The percent of the computer programmer’s salary deducted for income tax is 17%.
What is percentage of a number?
A percentage is a ratio or number that can be expressed as a fraction of 100. In order to calculate a percentage of a number, we must divide it by 100 and then multiply the resulting number by 100. The proportion therefore denotes a component per 100. A percentage of one hundred is what is meant by the word "percent."
Given, weekly wage is $1350 and deduction amount for income tax is $229.50.
The percent of deduction is
[tex]\frac{229.50}{1350} \times 100\\=0.17 \times 100\\=17[/tex]
Therefore, the percent of the computer programmer’s salary deducted for income tax is 17%.
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X-y/m= x
Solve for y
Answer:
y = mX - mx
Step-by-step explanation:
X - (y/m) = x
Multiply everything by m
(m)X - (y/m)(m) = x(m)
mX - y = mx
-mX -mX
-y = mx - mX
Divide both sides by -1
-y = mx - mX
÷ -1 ÷ -1
y = -mx + mX
or
y = mX - mx
I hope this helps!
The number 27.6 is what percent of 69?
The number 27.6 is ____% of 69.
(Round to the nearest whole number, if necessary.)
Answer:
27.6 is 40% of 69.
Step-by-step explanation:
M(- 4, 8) is the midpoint of DE. D has coordinates ( 6, 1 ). Find the coordinates of E.
I need help pls
Answer: 16, -1
Step-by-step explanation:
since the x is +10 more than d and the y is -7 less than d, you just add another +10 and -7 to get your next point
What are these answers?
Answer:
1: 60 2: 45
Step-by-step explanation:
60, 90, 30 triangle
45 45 90 triangle
newaye is making a salt solution. the instructions ask for 0.07 kilograms of salt to be added to every liter of water. how much salt should he use if he wants to make a solution with 0.5 liter of water
Answer:
0.035 kg
Step-by-step explanation:
(0.07 kg / 1 litre) x (0.5 litre)
= 0.035 kg
Notice how the units of litres cancel and all you are left with is units of kg which is what we want. Another way of solving this problem is via logic. If 1 litre of water is needed for 0.07 kg salt, then half a litre of water (0.5) would need half of the amount needed by 1 litre water so (0.07/2) = 0.035 kg
4. What value is needed to complete the square? Show all steps.
x²-2x+_
The value of the square in the mathematical identity is 1.
According to the statement, We have to find that the value of the square.
So, For this purpose, we know that the
An Mathematical identity is an equality relating one mathematical expression A to a different mathematical expression B, such A and B produce the identical value for all values of the variables within a specific range of validity.
From the given information:
The statement is the [tex]x^{2} -2x+.....[/tex]
Then
According to the squaring identity,
[tex](A-B)^2 = A^2 + B^2 -2AB[/tex]
compare it with the statement
[tex](x-1)^{2} = x^{2} -2x+1[/tex]
The value of the square is a 1.
So, The value of the square in the mathematical identity is 1.
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The Miller family is taking a road trip. They will drive a total of 1,372 miles. So far they have driven 648 miles. How many miles do they have left to drive?
Answer:
724 miles
Step-by-step explanation:
subtract the values(1372-648)
The dress store sells sweatshirts ($8) and swimsuits ($12)
Answer: 20
Step-by-step explanation:
because 8+12=20
The frequency distribution shown is constructed incorrectly.
Class
27-30
31-34
35-38
39-42
43-45
Frequency
5
3
4
8
6
Select all applicable mistakes in the frequency distribution.
The required mistake in the frequency distribution is the class interval 43 - 45 is of 2 it should be of 43 - 48.
Given that,
To determine the mistakes in the frequency distribution.
Statistic is the study of mathematics that deals with relations between comprehensive data.
Table =>
Class Frequency
27-30 5
31-34 3
35-38 4
39-42 8
43-45 6
Here,
Since the class interval is of 3
But in the last class, the interval is of 2
Thus, the required mistake in the frequency distribution is the class interval 43 - 45 is of 2 it should be of 43 - 48.
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find the number of stamps measured 3cm × 4cm needed to fill the square card with a side of 12cm
Answer:
Breadth of stamp=3 cm
Length of stamp=4 cm
Area of stamp = Area of rectangle = l*b = 3*4 = 12 cm^2
Side of square card = 12 cm
Area of card = Area of square = side^2 = 12^2 = 144 cm^2
No. of stamps that can be filled in card
= Area of card / Area of stamp
= 144/12
= 12
:. 12 stamps can be filled in a card of side 12 cm.
Which of the following groups of words are listed in alphabetical order?
A) tank, target, tap, tangerine
B) peak, pearl, peanut, peasant
C) light, lock, locust, lottery
The groups of words that are listed in alphabetical order will be B. peak, pearl, peanut, peasant.
What is alphabetical order?It should be noted that alphabetical order simply had to do with the arrangement based on the alphabet.
In this case, the groups of words that are listed in alphabetical order will be peak, pearl, peanut, peasant.
Therefore, the correct option is B.
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Gillian earns $7.50 an hour babysitting on the weekends. Last week she babysat for 2.2 hours on Saturday and 3.5 hours on Sunday. How much did Gillian earn?
Group of answer choices
Gillian earned $42.75 last week.
Arithmetic operators are used to perform mathematical operations like addition, subtraction, multiplication and division.
...
There are 7 arithmetic operators in Python :
Addition.
Subtraction.
Multiplication.
Division.
Modulus.
Exponentiation.
Floor division.
Gillian work
2.2 hours+3.5 hours= 5.7 hours
5.7 hours× $7.50 = $42.75
Therefore Gillian earned $42.75
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11h-5(h+3)=-63 find they value of h
Answer:
h = -13
Step-by-step explanation:
Use PEMDAS to solve this problem.
11h - 5(h + 3) = -63
~Use distributive property to simplify [ a(b + c) = ab + ac ]
11h - 5h + 15 = -63
~Combine like terms
6h + 15 = -63
~Subtract 15 to both sides
6h = -78
~Divide 6 to both sides
h = -13
Best of Luck!
Answer:
Step-by-step explanation:
11h - 5(h + 3) = -63
-Multiply parenthesis so
-5(h) + -5(3) = -5h - 15
New equation: 11h - 5h - 15= -63
+15 +15
(add 15 to both sides)
[tex]6h=-48\\\\\frac{6h}{6} =\frac{-48}{6} \\ \\ h=-8[/tex]
h = -8
angle POR and angle ROQ from linear pair . If a-b=
[tex] {80}^{0} [/tex]
find the value a and b .
Answer:
a = 130
b = 50
Explanation:
Analyze that the angles a and b lies on a straight line summing up to 180°.
Equation's:
a + b = 180 ____eq 1a - b = 80 ____eq 2make 'a' subject in eq 1
a + b = 180
a = 180 - b
substitute this into eq 2
a - b = 80
(180 - b) - b = 80
180 - 2b = 80
-2b = 80 - 180
-2b = -100
b = 50
Find value of 'a':
a = 180 - b
a = 180 - 50
a = 130
Answer:
a = 130°, b = 50°
Step-by-step explanation:
The given equation is,
→ a - b = 80°
→ a + b = 180°
The equation we form is,
→ (a + b) + (a - b) = 180 + 80
Now the required value of a will be,
→ (a + b) + (a - b) = 180 + 80
→ (a + a) + (b - b) = 260
→ 2a = 260
→ a = 260/2
→ [ a = 130° ]
Hence, the value of a is 130°.
Then the required value of b will be,
→ a + b = 180
→ 130 + b = 180
→ b = 180 - 130
→ [ b = 50° ]
Hence, the value of b is 50°.
Solve for the percentage in the problem. Round to the nearest tenth of a percent.
$953 is _____% of $1717
Select one:
O a. 0.6
O b. 0.1
O c. 180.2
O d. 55.5
A function f is given, and the indicated transformations are applied to its graph (in the given order). Write the equation for the final transformed graph.
f(x) = x^2; shift 6 units to the left and reflect in the x-axis
Answer:
[tex]y=-(x+6)^2[/tex]
Step-by-step explanation:
Shifting 6 units left, we get:
[tex]x^2 \longrightarrow (x+6)^2[/tex]
Reflecting over the y-axis. we get:
[tex](x+6)^2 \longrightarrow -(x+6)^2[/tex]
So, the final equation is
[tex]y=-(x+6)^2[/tex]
A water hose cost 3.60 per meter. Sam buys a 4.5 m long hose. how much does sam pay?
Step-by-step explanation:
for 1m=3.60
for 4.5m
4.5(3.60)=16.30
16.40 is the cost!!!!
What is the slope of the line y=x+4?
O A.
1112
OB.
OC. 4
OD. -4
Beau lifts weights at his local gym on a regular basis. When he started working out, he weighed 127 pounds. Beau kept track of his weight and found that he gained 2 pounds every month. If Beau’s goal is to weigh at least 155 pounds after working out for m months in a row, which inequality best represents this situation?
Answer: it would take 19 months to get to 155
Step-by-step explanation:
If Beau weighed two more each month and wanted to get to 155 then you count by two's and see that it would take 19 months to weight 155
If that was the question, I hope this helps
if that was not the question, I am sorry and will try to help more.
What is (3.3 x 107) (5.2 x 108) in scientific notation?
OA 17. 16x 1015
A.
OB. 1.716x 1016
OC. 17.16x 1056
OD. 1.716x 1057
Step-by-step explanation: I hope this helps.
Answer: The answer is B.
Find the derivative:
y=(1+cosx)/(1+sinx)
I NEED STEPS
[tex]y=\cfrac{1+cos(x)}{1+sin(x)}\implies \cfrac{dy}{dx}=\stackrel{\textit{\Large quotient rule }}{\cfrac{-sin(x)( ~~ 1+sin(x)~~ )-( ~~ 1+cos(x) ~~ )cos(x)}{( ~~ 1+sin(x) ~~ )^2}} \\\\\\ \cfrac{dy}{dx}=\cfrac{-sin(x)-sin^2(x)-cos(x)-cos^2(x)}{( ~~ 1+sin(x) ~~ )^2} \\\\\\ \cfrac{dy}{dx}=\cfrac{-sin(x)-cos(x)-( ~~ sin^2(x)+cos^2(x) ~~ )}{( ~~ 1+sin(x) ~~ )^2} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill {\LARGE \begin{array}{llll} \cfrac{dy}{dx}=\cfrac{-sin(x)-cos(x)-1}{( ~~ 1+sin(x) ~~ )^2} \end{array}}~\hfill[/tex]
Suppose that E and F are points on the number line.
If EF=15 and E lies at 4, where could F be located?
If there are several locations, separate them with commas.
When E = 4 on the number line, then F can either be 11 or be 19 to make EF as 15 units.
We are given that:
E and f are the points on a number line.
We are also given that the distance between E and F is:
EF = 15 units
Now, we know that E lies at 4
E = 4
We need to find the location of the point F
Now, since we also know that:
EF = F ± E
Substituting the values:
15 = F ± 4
We get that:
15 = F + 4 or 15 = F - 4
F = 15 - 4 or F = 15 + 4
F = 11 or F = 19
Therefore, we get that, when E = 4 on the number line, then F can either be 11 or be 19 to make EF as 15 units.
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525 less than c gives 699. translate to algebraic equation and Solve the translated sentence.
1) Six decreased by five times a number is thirty-one.
2) The product of five and a number increased by seven is twenty-seven.
Answer:
[tex]6 - (5 \times x) = 31[/tex][tex]5 \times x + 7 = 27[/tex]URGENT but please only answer if you are xHaleyx OR beinggreat78
this means if you are not one of the two, do NOT answer because I simply don't trust the rest of you to answer correctly since you answer for the points most of the time
Answer:
0.0314
Step-by-step explanation:
[tex]a^{-b}=\frac{1}{a^b}\\3.14\cdot \frac{1}{10^2}\\a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c}\\\frac{1\cdot \:3.14}{10^2}\\1\cdot \:3.14=3.14\\\frac{3.14}{10^2}\\10^2=100\\\frac{3.14}{100}\\\frac{3.14}{100}\\= 0.0314[/tex]
All work and answer is provided in the attached screenshot! :)