Name
8.2 Using Parallelograms in Proofs
1. Given: Parallelogram ABCD
DE I AB
BFI DC
с
Prove: DE 2 BF
A
E
B
Answers
Answer:
Step-by-step explanation:
1) Parallelogram ABCD, [tex]\overline{DE} \perp \overline{AB}, \overline{BF} \perp \overline{DC}[/tex] (given)
2) [tex]\angle DAE \cong \angle FCB[/tex] (opposite angles of a parallelogram are congruent)
3) [tex]\angle AED[/tex] and [tex]\angle BFC[/tex] are right angles (perpendicular lines form right angles)
4) [tex]\angle AED \cong \angle BFC[/tex] (all right angles are congruent)
5) [tex]\overline{AD} \cong \overline{BC}[/tex] (opposite sides of a parallelogram are congruent)
6) [tex]\triangle AED \cong \triangle CFB[/tex] (AAS)
7) [tex]\overline{DE} \cong \overline{BF}[/tex] (CPCTC)
Related Questions
Simplify 5⁶/5³
A. 5³
B. 5²
C. 1³
D. 1²
Answers
Answer:
d
Step-by-step explanation:
Answer:
A. 5^3
Step-by-step explanation:
5^6 = 15625
5^3 = 125
15625/125 = 125
Which is the solution of the quadratic equation (4y - 3)2 = 12?
Answers
Answer:
(4y - 3)2 = 72?y3 +/Z and yy=3-6/243+62y=and y=-3 – 6/2440y=9/… ... 12 POINTS!! 2. (2, 0) and (0, 3) The equation for these ordered pairs is ...
1 answer
Step-by-step explanation:
The diagram shows the graph of y=2x+c
Find the value of k
Answers
Answer:
can you add the photo
Step-by-step explanation:
Answer:
Value of K:
K=6.5
Step-by-step explanation:
The points on a section of an exam is given by the function fx, where x is the number of questions answered correctly in that section. If f12=18, then a test-taker receives 18 points for answering _____ questions in the section correctly.
Answers
Answer: 12
Step-by-step explanation:
Given the function :
f(x),
x is defined as the number of questions answered correctly in a certain section.
Thus given that the function; f(12) = 18 means a test-taker receives 18 points for answering x questions in the section correctly
The number of correct questions will be :
Compare ;
f(x) = f(12)
Hence ; x = 12 = number of questions answered correctly in the section.
Which expression can be written as 2 • (4 + 9)?
A. 2 • 9 + 4
B. 2 • 4 + 9
C. (2 • 4) + (2 • 9)
D. (2 + 4) + (2 + 9)
Answers
Answer:
C
Step-by-step explanation:
What is the degree of g(x) =5x +6x^7 - 8x^3
Answers
The degree of the polynomial is 7 as the highest power in its terms is 7.
So, the correct option is A.
What is the degree of a polynomial?The degree of a polynomial is the highest power that its terms pertain (for multi-variables, the power of term is the addition of the power of variables in that term).
Thus, in
[tex]g(x) =5x +6x^7 - 8x^3[/tex]
Hence, the degree of the polynomial is 7 as the highest power in its terms is 7.
(power and exponent are the same thing)
So, the correct option is A.
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What is the constant of proportionality between p and n?
Mr. Lopez teaches his classes how to make maraca
instruments by filling plastic eggshells with dried
beans. Mr. Lopez uses the equation p = 0.75n to
find the number of pounds p, of beans needed for
n classes.
Use the number pad to enter your answer in the box.
Answers
Answer:
0.75
Step-by-step explanation:
Constant of proportionality between p and n, is the ratio of both proportional quantities.
Thus, given the equation, [tex] p = 0.75n [/tex], of which Lopez uses, this equation represents the relation between both quantities.
The ratio of p and n = the constant of proportionality.
Thus:
[tex] p = 0.75n [/tex]
[tex] \frac{p}{n} = \frac{0.75n}{n} [/tex]
[tex] \frac{p}{n} = 0.75 [/tex]
Constant of proportionality = 0.75
if f(x)=7x+2, evaluate f(x+1)-f(x)
Answers
If the function y = xa − 31 is a linear function, what is the value of a?
Answers
Answer:
it should be 1
Step-by-step explanation:
Which of the following numbers is a factor of 55?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
6
(Choice B)
B
3
(Choice C)
C
5
(Choice D)
D
7
Answers
Answer:
Choice C: 5
Step-by-step explanation:
55 is a composite number. 55 = 1 x 55 or 5 x 11. Factors of 55: 1, 5, 11, 55. Prime factorization: 55 = 5 x 11 it should be 5 if 11 isn't an option to
On a coordinate plane, a line goes through (0, negative 3) and (2, 2). A point is at (2, negative 3).
Complete the statements about finding the equation of the line that is parallel to line n and passes through point (2, –3).
The slope of the graphed line is
.
The slope of the parallel line is
.
An equation that can be used to find the y-intercept of the parallel line is
.
The y-intercept of the parallel line is
.
The equation of the parallel line is
.
Answers
Answer:
5/2, 5/2, -3= (5/2)(2)+b, -8, y=(5/2)x-8
Step-by-step explanation:
Answer:
The slope of the graphed line is
✔ 5/2
.
The slope of the parallel line is
✔ 5/2
.
An equation that can be used to find the y-intercept of the parallel line is
✔ –3 = (5/2)(2) + b
.
The y-intercept of the parallel line is
✔ –8
.
The equation of the parallel line is
✔ y = (5/2)x – 8
.
Step-by-step explanation:
The product of 5 and x decrease by 7 is as much as 42.
Answers
Students in a classroom have eaten 20% of jellybeans from a jar. There are now only 100 jellybeans left! How many jellybeans
were in the jar to begin with?
Answers
Answer:
125 to start with
Step-by-step explanation:
1. Anthony's team won the basketball game, scoring seventy-two points.The
other team only scored fifty-five points. Anthony scored 12 of those points, and
the six other players each scored the same number of points.How many points
did each of his teammates score?
Answers
Help me please!!!!
In a car race, for every mile covered by car A, car B covered 4 miles. The ratio of the number of miles covered by car A to the number of miles covered by car B is ___.
1 to 1
4 to 4
4 to 1
1 to 4
Answers
Answer:
1 to 4
Step-by-step explanation:
I don't think u want the explanation
The table represents the function f(x)=3x-1.
Answers
Answer: y = 3x-1
Step-by-step explanation:
What is the degree of the following polynomial: 5x7+4x5-3x4+2x3-4x+10?
Answers
Answer:
20
Step-by-step explanation:
7+5+4+3+1=20
the degree of the polynomial is 20
laun
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Mathematics Diagnostic Assessment
1
Todd forgot the first two numbers of his locker combination. The numbers can be any number 1 through 6. What is the
probability that he will guess the first number correctly and the second number incorrectly?
OA.
OB.
O C.
கான்
OD.
Reset
Submit
Submit
Answers
Answer: 16.67% for question 1
83.33% for question 2
Step-by-step explanation:
1/6 as a percent is 16.67% because the is only 1 correct number
5/6 as a percent is 83.33% because there is 5 wrong numbers
Answer:
Step-by-step explanation: 1/36
square root of complex no. a+bi.....please answer it fast i m waiting
Answers
Step-by-step explanation:
[tex](x { }^{2} - {y}^{2} ) {}^{2} = ( {x}^{2} + y {}^{2} ) {}^{2} - 4x {}^{2} y {}^{2} [/tex]
Write an equation with an exponent for 39mm=0.039
Answers
Answer:
An equation would be 39 divided by 10^3= 0.039
Step-by-step explanation:
Hope this helps!! ;-)
A dog eats .5 of a pound of food every 50 minutes, at this rate how many pound will the dog have eaten after 200 minutes
Answers
The number of rate eaten by dog after 200 minutes: 2 pounds
What is ratio & proportion ?A ratio is a divisional comparison of two quantities. It uses a fraction or quotient to represent the relationship between two numbers or quantities. For instance, we can describe the ratio 3:5 or the fraction 3/5 if we declare that there are 3 guys for every 5 ladies in a classroom.
Contrarily, the proportion equation declares that two ratios are equivalent. We can utilise proportion to solve problems with unknown amounts if we have two ratios that are equivalent.
We can use proportion to solve this problem:
If a dog eats 0.5 pound of food every 50 minutes, then in 1 minute, the dog will eat 0.5/50 = 0.01 pound of food.
Therefore, in 200 minutes, the dog will eat 0.01 x 200 = 2 pounds of food.
So the dog will have eaten 2 pounds of food after 200 minutes.
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Given BCM=ZYR find each missing measure
Answers
Answer:
Step-by-step explanation:
Since, ΔBCM ≅ ΔZYR,
∠B ≅ ∠Z
∠C ≅ ∠Y
∠M ≅ ∠R
And BC ≅ ZY
CM ≅ YR
BM ≅ ZR
a). CM = YR = 11 m
b). BM = RZ = 15 m
c). YZ = BC = 8 m
d). m∠B = m∠Z = 45°
e). m∠M = 180° - [m(∠B) + m(∠C)]
= 180° - (45 + 103)°
= 180° - 148°
= 32°
f). m∠Y = m∠C = 103°
The side lengths are as follows: YZ is 8, BM is 15, and CM is 11. and angle B has a measure of 45 degrees. The angle C is 103 and the angle m is 32.
What is a Congruent triangle?
Congruent triangles are two triangles that are the same size and shape. They remain congruent if we flip, turn, or rotate one of two congruent triangles. If the sides of two triangles are the same, they must have the same angles and thus be congruent.
Congruent triangles have equal corresponding sides and angles
The measure of the side lengths are: YZ = 8,BM = 15 and CM = 11
The measure of the angles is angle B = 45. angle C = 103 and angle m =32
The given parameter is:
Tri angle BCM = Triangle ZYR
This means that triangles BCM and ZYR are congruent.
So, we have the following congruent sides
YZ = CB
BM = ZR
CM = YR
so, the measure of the side lengths are:
YZ = 8
BM = 15
CM = 11
Also, we have the following congruent angles
angle B = angle Z
angle C = angle Y
angle M = angle R
the measure of the angles are
angle B = 45
angle Y = 103
The measure of angle M is calculated using:
∠M + ∠C + ∠B = 180
∠M = 32
Therefore, The measure of the side lengths is: YZ is 8, BM is 15 and CM is 11. and The measure of the angles is angle B is 45. angle C is 103 and angle m is 32.
Read more about congruent triangles here:
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27 sandwiches using 12 pounds
Answers
I hope this will help
(2/5) x ( - 5/4) Can someone please help me
Answers
Checking Your Understanding
Quick
Check
There are 6 boys and 12 girls on a soccer team.
This ratio correctly describes the relationship between boys and girls on the soccer team
Answers
(6 boys, 12 girls)
Answer:
There are 6 boys and 12 girls on a soccer team.
This ratio correctly describes the relationship between boys and girls on the soccer team:
✔ For every 6 boys, there are 12 girls.
Step-by-step explanation:
Plz mark me as Brainlist
is 4/10 greater than 14/35?
Answers
Answer:
Nope it is equal to
Step-by-step explanation:
if you simplify both of them 4/10=2/5 and 14/35=2/5
2(x+9)-4=68 pls help me 60 points!!!!
Answers
Answer:
x=27
Step-by-step explanation:
2x+18-4=68
2x+18=72
2x=54
x=27
I hope this helps even the slightest!
Please mark brainliest!
Find 4,290 + 3,602. Explain how to use mental math to solve.
Answers
explanation: add each number individually left to right. 4+3 , 2+6 , 9+0 , 0+2
-8n - 8 = -72 what is the answer
Answers
Answer:
8
Step-by-step explanation:
[tex]-8n - 8 = -72\\-8n = -72 + 8\\-8n = -64\\n = 8[/tex]
Answer: 8
Step-by-step explanation:
Multiplying both sides by -1, we get:
8n + 8 = 72
8n = 72-8
8n = 64
n = 64/8 = 8.
The total cost of 5 doughnuts and 6 cookies at a bakery is $11.95.The cost of each cookie is $0.95.Select the equation and its solution that can be used to determine the cost,x, of 1 doughnut.
Answers
The equation for the situation is [tex]5x+6(0.95)=11.95[/tex]
The solution to the equation is [tex]x=1.25[/tex]
First, you must set up the equation.
[tex]5x+6(0.95)=11.95[/tex]
Then, you must simplify the terms.
[tex]5x+5.7=11.95[/tex]
Next, subtract 5.7 on both sides.
[tex]5x=6.25[/tex]
Finally, divide 5 on both sides
[tex]x=1.25[/tex]
The cost of each doughnut is $1.2 and the equation is 5(0.95) + 6x = 11.95 if the total cost of 5 doughnuts and 6 cookies at a bakery is $11.95.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The total cost of 5 doughnuts and 6 cookies at a bakery is $11.95.The cost of each cookie is $0.95.
The cost of 1 doughnut is x.
Total cost = $11.95
Total cost = 5(0.95) + 6x
11.95 = 5(0.95) + 6x
Or
5(0.95) + 6x = 11.95
After solving
x = $1.2
Thus, the cost of each doughnut is $1.2 and the equation is 5(0.95) + 6x = 11.95 if the total cost of 5 doughnuts and 6 cookies at a bakery is $11.95.
The options are:
6(0.95) + 5x = 11.95
5(0.95) - 6x = 11.95
5(0.95) + 6x = 11.95
5(0.95) + 6(11.95) = x
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