Answers
That's a Congruent Triangle question.
The first thing that we should to analize is it: What figure is EFGH? The question say for us that [tex]\overline{EF} \cong \overline{GH}[/tex] and [tex]\overline{EH} \cong \overline{GF}[/tex], therefore, EFGH is a parallelogram because its parallel sides are congruents (equals).
Now, we should to proof that [tex]\triangle EFH \cong \triangle GHF[/tex]. The simbol "≅" means congruence, that is, [tex]\triangle EFH \cong \triangle GHF[/tex] means that the triangles EFH and GHF are equals.
Let's proof:
[tex]\overline{HF}[/tex] is a diagonal of the parallelogram EFGH. When we have a diagonal in a parallelogram, the opposite angles are congruents (look at the picture: the blue angles are congruent and the red angles are congruents too). Therefore, [tex]E\hat{F}H \cong F\hat{H}G[/tex] and [tex]E\hat{H}F \cong H\hat{F}G[/tex].
Both triangle has a comum side: the diagonal [tex]\overline{HF}[/tex]. The diagonal [tex]\overline{HF}[/tex] is between two angles that we know that are congruents, Therefore, by the case ASA (Angle, Side, Angle), we proof that [tex]\triangle EFH \cong \triangle GHF[/tex].
Related Questions
WILL BRAINLIST
45 points
Drag each tile to the correct box. Not all tiles will be used.
Simplify the expression by arranging the steps in sequence, based on the order of operations.
Answers
Answer:
It's Right, I took the test. =)
Step-by-step explanation:
Translate the word phrase into a math expression 12 meters longet than his throw
Answers
Answer:
x + 12
Step-by-step explanation:
Let x represent his throw
It was 12 meters longer than his throw, so we have:
x + 12
Present age of Ram and Ravi are in the ratio
4:3.The ratio of their ages will be 5:4 after
5 years. Find Ravi's present age
Answers
Answer:
Step-by-step explanation:
Ravi présent âge 15 because présent would be 20:15 and then it would turn into 25:20
Answer:
15 years old
Step-by-step explanation:
Given the ratio of their ages = 4 : 3 = 4x : 3x ( x is a multiplier )
Then in 5 years the ratio of their ages is 4x + 5 : 3x + 5 = 5 : 4, that is
[tex]\frac{4x+5}{3x+5}[/tex] = [tex]\frac{5}{4}[/tex] ( cross- multiply )
4(4x + 5) = 5(3x + 5) ← distribute both sides
16x + 20 = 15x + 25 ( subtract 15x from both sides )
x + 20 = 25 ( subtract 20 from both sides )
x = 5
Thus
Ravi's age is 3x = 3 × 5 = 15
angle 4=x+30 and angle 2=2x+15. Find the measure of angle 4
Answers
Answer:
4 is equal to x=1 + 30 will be 31
Step-by-step explanation:
2= 2x1 that is equal to 2 + 15= 17
in conclusion 2=17 and 4=31
Is the ordered pair (2,4) a solution to the system of linear inequalities?
yes or no?
Answers
Answer:
yes
Step-by-step explanation:
Select the correct answer. Which function has a domain of all real numbers? A.y=(x+2)^ 1/4 B.y=-x^ 1/2+5 C.y=-2(3x)^1/6 D.y=(2x)^1/3-7
Answers
The option D shows a function has a domain of all real numbers.
Which is the Domain of a Function?
The domain of a function is the set of input values for which the function is real and defined. In the other words, when you define the domain, you are indicating for which values x the function is real and defined.
Letter A - [tex]y=\left(x+2\right)^{^{\frac{1}{4}}\:}[/tex], as you have an even exponent, the results for y should be greater or equal than zero. Thus,[tex]\left(x+2\right)^{^{\frac{1}{4}}\:}=\sqrt[4]{x+2}[/tex]
Therefore, the function domain is x [tex]\geq[/tex]-2.
Letter B - [tex]y=-x^{\frac{1}{2}}^{\:}+5[/tex], as you have an even exponent, the results for y should be greater or equal than zero. Thus,[tex]-x^{\frac{1}{2}}^{\:}+5=-\sqrt{x} +5[/tex]
x [tex]\geq[/tex] 0
Therefore, the function domain is x [tex]\geq[/tex] 0.
Letter C - [tex]y=-2\left(3x\right)^{\frac{1}{6}}[/tex], as you have an even exponent, the results for y should be greater or equal than zero. Thus,[tex]-2\left(3x\right)^{\frac{1}{6}}=-2*\sqrt[6]{3x}[/tex]
3x [tex]\geq[/tex] 0
x [tex]\geq[/tex] 0
Therefore, the function domain is x [tex]\geq[/tex] 0.
Letter D - [tex]y=\left(2x\right)^{\frac{1}{3}}-7[/tex], as you have an odd exponent, the results for y has no undefined points nor domain constraints. Thus,[tex]\left(2x\right)^{\frac{1}{3}}-7=y=\sqrt[3]{2x} -7\\ \\[/tex]
Therefore, the function domain is [tex]-\infty \: < x < \infty \:[/tex].
Learn more about the domain here:
brainly.com/question/10197594
#SPJ1
Isaiah learned a total of 12 appetizer recipes over the course of 4 weeks 1 point
of culinary school. After 6 weeks of culinary school, how many total
appetizer recipes will Isaiah know?
Answers
A teacher asked students to classify numbers A and B below
A: 0.28316049...
B:28
Which statement describes the correct classification(s) of the numbers?
Both numbers are real numbers
Both numbers are rational, irrational, and real numbers
Number A is an irrational number, and number B is a rational number
O Number A is irrational, and number B is rational
Answers
Answer:
a or b I think it's correct
Step-by-step explanation:
hahahahahaha
Mika opened a bank account that earns simple interest with an initial deposit of $2,200.
She made no other transactions throughout the year. At the end of the year, Mika had $2,260.50 in her account.
What was the simple interest rate?
Answers
Answer:2.75
Step-by-step explanation:
CAN SOMEONE HELP ME ASAP!!!<3
Answers
Answer:
Step-by-step explanation:
11.
f(-8) = (-3/2)(-8) +11 = (24/2) +11 = 12+11 = 23
12.
g(-2) substitute x by -2 in the g( x) equation
9(-2) = (-2)²-7(-2) = 4 +14 = 18
13.
h(2/3) = | 15 -9(2/3)| = | 15 -(18/3)| = | 15 -6 | = |9| = 9
12.
the zero is at x= -2 because is the intersection of the graph with the x-axis
13.
the zero are at x=1, x= -2, x= -4 because is the intersection of the graph with the x-axis
Jenny was doing laundry. She folded 10
towels and divided them evenly into p
piles. Which expression represents the
number of towels in each pile?
Answers
(10 divided by p)
Sanic ran 420 meters in 21 seconds what was his speed?
Yes this is a real question please help
Answers
Answer:
the speed is 20 m/s
Step-by-step explanation:
The computation of the speed is as follows
As we know that
Speed = Distance ÷ time
where,
Distance is 420 meters
And, the time is 21 seconds
So, the speed is
= 420 ÷ 21
= 20 m/s
hence, the speed is 20 m/s
We simply applied the above formula so that the correct value could come
And, the same is to be considered
The record for the most rolls of wrapping paper sold for the school fundraiser is 593. Let w be the number of rolls of wrapping paper sold. Tell if the equation or inequality represents a number that would beat the school record.
Answers
Answer:
w ≤ 593
Step-by-step explanation:
Missing option;
w ≥ 593
w > 593
w ≤ 593
593 < w
Explanation:
w ≥ 593 No
Number of wrapping paper sold never be more than 593.
w > 593 no
Number of wrapping paper sold never be more than 593.
w ≤ 593 yes
Number of wrapping paper sold will be equal or less than 593.
Brainliest +thanks
1/3z-2=0 write in statement
Answers
Answer:
1 is divided by 3z with difference 2
When one thing is ten times as large as another, it is said to be an order of magnitude larger. A hundred times larger is two orders of magnitude. A thousand is three orders of magnitude. By how many orders of magnitude is the empire state building taller than a chair seat? enter an integer.
Answers
The empire state building is taller than a chair seat by three orders of magnitude.
What are orders of magnitude?Orders of magnitude refer to the classification based on the sizes of two objects against each other.
Orders of magnitude range in the power of 10 or 10ⁿ.
Data and Calculations:Orders of Magnitude:
10x = 1 order of magnitude
100x = 2nd order of magnitude
1000x = 3rd order of magnitude
Empire State Building = 1,500 feet
Chair seat = 1.5 feet
Order of magnitude = 1,000x (1,500/1.5)
Thus, the Empire State Building is about a thousand times taller than a chair seat or three orders of magnitude.
Learn more about orders of magnitude at https://brainly.com/question/24468862
#SPJ1
Find the value of a in the polygon below.
Answers
Answer:.
m= 116 degrees
a=41 degrees
Step-by-step explanation:
Explaination: add 89+50+64 = 203
the line that m is on should equal 180. so subtract 64 from 180 and you get 116 degrees. then add 89+50+64+116=319
360-319= 41
the whole polygon should equal 360 degrees
An online survey listed the top five types of music. The results of the survey are shown in the graph. Based on this survey, how many people would be expected to choose Pop if 250 people were surveyed?
Answers
But first do you mind subscribing to some small yters, BonheurPlaysGames, Sagesse Games, And YayaPlayz23? (I’m a fan who tries to help small yters btw)
If 5 pens cost $3.75 then how much would 15 pens cost
Answers
Answer:
15 pens will cost $11.25
Answer:
please follow
Determine whether each number is
rational or irrational.
-π
mlla
3
50
0.4
Rational Irrational
O
O
O
O
Answers
π is 3.14 so -π is -3.14 so it is irrational
3 is a whole number so its no irrational
50 is also not irrational
0.4 is irrational
irrational numbers are imperfect roots so basically a decimal is irrational
hope this helped
Which triangles in the diagram are congruent?
70°
triangle 1
triangle 2
70°
170
triangle 3
triangle 4
OA. triangle 1 and triangle 2
B. triangle 1, triangle 2, and triangle 3
OC. triangle 1 and triangle 3
OD. triangle 1, triangle 3, and triangle 4
Answers
Answer:
D - Triangle 1, triangle 3, and triangle 4
Identify the function shown in this graph.
3
2
OA. y= x+4
OB. y= -xt 4
OC. y= -X- 4
OD. y= x- 4
Answers
Answer:
A
Step-by-step explanation:
y on the horizontal y axis is to the y while x in the vertical axis point to +4
The function shown in the graph is y = x+ 4.
The correct option is A.
What is a slope?The slope or gradient of a line in mathematics is a numerical representation of the steepness and direction of the line.
If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,
then the equation of line is
y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)
To find the slope;
m = (y₂- y₁) / (x₂ - x₁)
To find the equation of the line that passes through the points (-4, 0) and (0, 4), we can use the point-slope form of the equation of a line as described in the definition.
First, let's find the slope of the line. We can use the formula:
m = (y2 - y1) / (x2 - x1)
where (x1, y1) = (-4, 0) and (x2, y2) = (0, 4):
m = (4 - 0) / (0 - (-4)) = 4 / 4 = 1
So the slope of the line is 1.
Next, let's choose one of the given points, say (-4, 0), and substitute its coordinates and the slope into the point-slope form:
y - 0 = 1(x - (-4))
Simplifying this equation, we get:
y = x + 4
So the equation of the line that passes through the points (-4, 0) and (0, 4) is y = x + 4.
To learn more about the slope;
brainly.com/question/3605446
#SPJ7
CAN SOMEONE PLEASE HELP ME WITH THIS PLEASE PLEASE PLEASEE HELP I DONT WANT TO FAIL !!!!!!
Answers
Answer:
The equation for 3 cups equals 24 cookies is = 24 divided by 3 or 3 times 8, so that makes your awnser 12 times 3= 36 times 8 equals 288, so 288 cookies.
Step-by-step explanation:
Dozen-12
Answer:
you going to need 4 1/2 or 4.5 cups of sugar
how do i do math i suck
Answers
Answer:
practice, practice, practice. After you learn how to solve a problem using a formula or something, solve another similar problem in the same way, the more you do it, you will get a better hang of it. I believe in you, you will be the next Einstein one day lol
Step-by-step explanation:
simplify each expression by multiplying monomials: -7c^8 * (-4c^3)^2
Answers
Answer:
-112[tex]c^{14}[/tex]
Step-by-step explanation:
-7[tex]c^{8}[/tex] [tex](-4c^{3}) ^{2}[/tex] in expanded form this would be
-7cccccccc-4ccc-4ccc rearranged with like factors together
-7-4-4cccccccccccccc
For the numbers, count the negative signs. It the sum is an even number than the product is positive. If the sum is a negative number, then the product is negative. There are a total of 3 negative signs. This is a odd number so the product is negative
-112[tex]c^{14}[/tex] There are a total of 14 c's
Or
You could use the power rules.
When a power is raised to a power. The exponent goes to every factor in the parentheses.
[tex](-4)^{2}[/tex] [tex](c^{3}) ^{2}[/tex] -4 times -4 is 16 The power of power property tells us that when a power is raised to a power we multiply the exponents so we now have
16[tex]c^{6}[/tex] When we multiple this by -7[tex]c^{8}[/tex] We multiply 16 x -7 which is -112. The product of powers principle tells us that when we multiply powers with the same bases, we add the exponents.
-112[tex]c^{14}[/tex]
this is geometry witch theorem or postulate proves these two triangles are similar
Answers
this is because we know 2 angles in the triangle are the same so that proves Angle Angle similarity
also it’s a really easy question when you realize only one of the options (AA) proves similarity of triangles and all the other options prove congruence, not similarity
1 and 2 pls I will give brainiest if right
Answers
Answer:
1.b
2.d
Step-by-step explanation:
i think
PLEASE HELP FAST ILL GIVE BRAINLIST
Chantal made a mistake in her simplification What step is it?
Answers
Answer:
B
Step-by-step explanation:
When you have an exponent to an exponent, you multiply the numbers, not add.
5x-1≥-4(x+7)
solve... please
Answers
Answer: x ≥ - 3
5x - 1 ≥ -4(x + 7)
⇔ 5x - 1 ≥ - 4x -28
⇔ 5x + 4x ≥ - 28 + 1
⇔ 9x ≥ - 27
⇔ x ≥ - 3
Step-by-step explanation:
Answer: x ≥ -3
Hope this helps
Which of the following expressions represents the distance from -11 to 0 on a number line?
|-11|
0 - 11
11 × 0
11 - 11
Answers
Answer:
I-11I
Step-by-step explanation:
To find the distance between two numbers, find the absolute value of each number and add them together.
I-11I = 11
I0I = 0
11 + 0 = 11
Answer:
Hope this helps!
Step-by-step explanation:
The answer is 11. To find the distance between two numbers, find the absolute value of each number and add them together.
Find the coordinates of the reflection: B (4,5) is reflected over the line y=x
Answers
Answer:
d
Step-by-step explanation:
just try to form the graph it really helps visualising it and finding the reflection i hope this helped