If DEF=GJH, find each missing measure
a) DF =
d) F =
b) JH =
|||
e) m&G =
c) GJ =
f) m =
I need help it’s due in 20 minutes:(
Answers
Congruent triangles have equal corresponding sides and angles.
The measure of the side lengths are: [tex]\mathbf{DF = 16m}[/tex], [tex]\mathbf{JH = 14m}[/tex] and [tex]\mathbf{GJ = 19m}[/tex]The measure of the angles are: [tex]\mathbf{\angle G = 34^o}[/tex], [tex]\mathbf{\angle J = 41^o}[/tex] and [tex]\mathbf{\angle F = 105^o}[/tex]The given parameters are:
[tex]\mathbf{\triangle D EF \cong \triangle GJH}[/tex]
[tex]\mathbf{EF = 14m}[/tex]
[tex]\mathbf{D E = 19m}[/tex]
[tex]\mathbf{GH = 16m}[/tex]
[tex]\mathbf{\angle D = 34^o}[/tex]
[tex]\mathbf{\angle H = 105^o}[/tex]
[tex]\mathbf{\triangle D EF \cong \triangle GJH}[/tex] means that triangles DEF and GHJ are congruent triangles.
So, we have:
[tex]\mathbf{DF = GH}[/tex]
This gives
[tex]\mathbf{DF = 16m}[/tex]
Also, we have:
[tex]\mathbf{JH = EF}[/tex]
This gives
[tex]\mathbf{JH = 14m}[/tex]
Also, we have:
[tex]\mathbf{GJ = DE}[/tex]
This gives
[tex]\mathbf{GJ = 19m}[/tex]
The following angles are also congruent
[tex]\mathbf{\angle F = \angle H}[/tex]
This gives
[tex]\mathbf{\angle F = 105^o}[/tex]
Also, we have:
[tex]\mathbf{\angle G = \angle D}[/tex]
This gives
[tex]\mathbf{\angle G = 34^o}[/tex]
The measure of angle J is then calculated using
[tex]\mathbf{\angle J + \angle H + \angle G = 180^o}[/tex]
This gives
[tex]\mathbf{\angle J + 105 + 34= 180^o}[/tex]
[tex]\mathbf{\angle J + 139= 180^o}[/tex]
Subtract 139 from both sides
[tex]\mathbf{\angle J = 41^o}[/tex]
Read more about congruent triangles at:
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Related Questions
Pls helpp
1: Find the slope:
Answers
m = (3 - 1) / (0 - (-4)) = 2 / 4 = 2
A helicopter floats 120m above a helipad, a dog is 85m from the helipad, if the dog could fly, how far would it have to fly to get to helicopter?
Answers
If the dog could fly, it would need to fly 147 meters to catch the helicopter
This is a rather easy and straightforward question. We are going to solve it using Pythagoras theorem. We can interpret the question to be in a triangle where the height of the helicopter above the helipad and away from the dog is the right angle. This also means that the distance needed, between the dog and the helicopter is the hypotenuse.
Using pythagoras theorem, we have
120² + 85² = c²
c² = 14400 + 7225
c² = 21625
c = [tex]\sqrt{21625}[/tex]
c = ±147 meters.
Since distance cant be in the negative, our answer is 147 m
read more about pythagoras theorem here https://brainly.com/question/15138986
Simplify the following:
Answers
Answer:(5x+8)/[(x+4)(x-1)(x+3)]
Step-by-step explanation:
1. First factorize the quad expressions in the denomeneter of both fractions.
2. Then choose you arithmetic common denomeneter .
3. And the rest is child's play.
your grade varies directly with the time you study if you study for 40 minutes your grade is an 80 how long should you study to get a 95
Answers
Answer:
47.5 minutes
Step-by-step explanation:
40 min = 80
x min = 95
40/80 = x/95
3800 = 80x
x = 47.5
-Chetan K
7.
Rewrite the expression (4x² + 5x) ²-5(4x ² + 5x) – 6 as a product of four linear factors.
Answers
Answer:
(x+2)(x+1)(4x+1)(4x-3)
Step-by-step explanation:
(4x² + 5x)² - 5(4x² +5x) - 6
= (4x² + 5x)² - 6(4x² +5x) + 1(4x² +5x) -6
= (4x² + 5x)(4x² +5x -6) +1 (4x² +5x -6)
= (4x²+5x-6)(4x²+5x+1)
= (4x² + 8x - 3x - 6)(4x² + 4x + x +1)
= (4x(x + 2) - 3(x + 2))(4x(x+1) +1(x+1))
= (x+2)(4x-3)(x+1)(4x+1)
Find the area of the figure. All intersecting sides meet at right angles. a. 1,440 m2 c. 76 m2 b. 106 m2 d. 46 m2
Answers
that all i know hope it helped to your modules
If F(x) = x-7 and G(x) = x³, what is G(F(x))?
Answers
Answer: [tex]G(F(x)) = x^3-21x^2+147x-343\\\\[/tex]
===================================================
Work Shown:
[tex]G(x) = x^3\\\\G(F(x)) = \left(F(x)\right)^3\\\\G(F(x)) = \left(x-7\right)^3\\\\G(F(x)) = \left(x-7\right)\left(x-7\right)^2\\\\G(F(x)) = \left(x-7\right)\left(x^2-14x+49\right)\\\\G(F(x)) = x\left(x^2-14x+49\right)-7\left(x^2-14x+49\right)\\\\G(F(x)) = x^3-14x^2+49x-7x^2+98x-343\\\\G(F(x)) = x^3-21x^2+147x-343\\\\[/tex]
What would be the dimesions of the pool if the length is 15 feet longer then the width and they put up an 110 feet of fence around the pool
Help ASAP ill give Brainly
PlS HELP ME
NO BOTS PLS
Answers
Answer: Use Gauth Math. What is the topic about?
Step-by-step explanation:
PLEASE HELP ME!!! philip would be able to buy 15 apples if he had $2.10 more money than he has now. if he buys 12 apples, how would have $3.30 left of the money he has now. how much does one apple cost?
Answers
One apple cost $1.8 while the money that Philip has is $24.90
Let x represent the cost of each apple and y represent the money he has presently.
He can buy 15 apples if he had $2.10 more money than he has now, hence:
15x = y + 2.1
15x - y = 2.1 (1)
Also, if he buys 12 apples, how would have $3.30 left of the money he has now. Hence:
12x + 3.3 = y
12x - y = -3.3 (2)
Solving equations 1 and 2 gives:
x = 1.8, y = 24.9
Hence one apple cost $1.8 while the money that Philip has is $24.90
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Answer this Question I’ll BrainElist and PLEASE HELP ME DUE NOW PLEASE
Answers
Step-by-step explanation:
I I think you have your answer now
6. The police department of a major city has found that the average height of
their 1,250 officers is 71 inches, with a standard deviation of 2.3 inches. Using
the normal curve table, answer the following:
a. How many officers are at least 75 inches tall?
b. How many officers are between 65 and 72 inches tall?
c. If an officer is at the 35th percentile in terms of height, how tall is she or he?
d. Assuming an equal amount of service, the top 10% of the police officers in
terms of height also make higher salaries than their less favored fellow of-
ficers. How tall does an officer have to be to get a better salary?
e. What is the probability of encountering an officer who is 66 inches tall or
less?
f. What heights are so deviant that their probability of occurrence is .05 or
less?
Answers
Answer:
c
Step-by-step explanation:
I need helpppp with 1-9
Answers
1. x=1 y=3
2. x=2 y=1
3. x=2 y=2
4. x=5 y=5
5. x=2 y=0
6. x=2 y=1
7. x=3 y=-1
8. x=1 y=-3
9. x=1 y=0
Tell me if you want a step by step on any of them!! I can add that if you want.
Hope this helped. :)
Solve this for 50 points
Answers
3< -3x
-3x>3
3x> -3
X> -1
- BRAINLIEST answerer
How do you solve
5x2 - 13x = 6
Using the ax2 +bx + c = 0 equation
Answers
I personally like the square method but I am lazy to draw this out (take too long)
5x²-13x-6 = (5x+2)(x-3)
x = -2/5 or 3
Double-check:
5x²-15x+2x-6 = 5x²-13x-6 √
Graph the line that has a slope of 4 and includes the point (0,4)
Answers
Answer:
Step-by-step explanation:
it goes straight across 4 ( up and down)
Answer:
Step-by-step explanation:
Start with the standard form of an equation for a straight line:
y=mx+b,
where m is the slope and b is the y-intercept (the value of y when x = 0).
We are given the slope (4), so we have:
y = 4x + b
We can calculate b from the given point, (0,4). Just enter the values for x and y and solve for b. But in this case the given point already tells us the value of b since at x = 0, y = 4. So we can enter it directly.
------
For reference, if we went ahead and solved for b, this is what we'd get:
y = 4x + b
4 = 4*(0) + b
b = 4
-----
So the final equation of this line is y = 4x + 4
The graph is attached.
Both A and R are true, R is the correct explanation for A
Both A and R are true, R is not the correct explanation for A
A is true, R is false
A is false, R is true
Answers
I would say it's "A is false, R is true"
Look at it this way, (R is talking): A is false, this is obviously true.
It wouldn't really work the other way.
Help! Keep getting it wrong, I suck at this. Question is in the picture. Thank you! Please show your work!
Answers
Answer:
D.
Step-by-step explanation:
Interest is earn at a rate of 4.46%/ year, while this is after 3 years
=> interest earned in 3 years: 3($1700 x 4.46%) = $227.46
How much $1700 will worth after 3 years: $1700 + $227.46 = $1927.46
Aight, I'm heading to bed now. It's 0:10 here
Find the perimeter. Simplify your answer.
Answers
Answer:
6z-30 :D
Step-by-step explanation:
The perimeter of a square is just all the sides added up together. To do this we can make an equation.
2(z-5) + 2(2z - 10)
This represents two sides with different lengths two times. To solve, you first use the distributive property to multiply z-5 by 2.
2z - 10 + 2(2z - 10)
We then use the distributive property by multiplying 2z - 10 by 2.
2z − 10 + 4z − 20
We then combine 2z and 4z to get 6z.
6z − 10 − 20
Subtract 20 from 10 to get -30.
6z-30.
Answer:
6z - 30Step-by-step explanation:
Perimeter = z - 5 + z - 5 + 2z - 10 + 2z - 10
= 6z - 30...ans
Hope it Helps you!!Write the number 0.000 000 7 in standard form.
Answers
Answer:
7 x 10^-7
Step-by-step explanation:
What is the simplest form of 4 sqrt 81 x^8y^5.
Answers
Fill in the blank to make the two fractions equivalent.
3/7=blank/42
Answers
Answer:
18/42
Step-by-step explanation:
Find the common factor of the denominators i.e the common factor of 7 and 42. The answer is 6. Multiply the fraction with the smallest denominator by the common factor (3/7 ×6/6) answer is 18/42
Hope you understand
write 400+5 in standerd form?
Answers
Answer:
405
Step-by-step explanation:
Answer:
405
Step-by-step explanation:
Answer this please I really need help with this i can't do it
Answers
Answer:
A 6 km per hour
B 10 min.
Step-by-step explanation:
I just need to fill the 20 character limit
Four friends went to dinner. They each ordered a meal and decided to split the final bill evenly between them. They left a tip of $12. The final cost of the meal and tip was $74.00. what was the price each person paid for their meal before tip?
AGAIN BE SERIOUS THIS IS DUE TOMORROW
Answers
62 divided by 4 = $15.5 each
Anneyonghaseyo,
plss can anyone solve this it's urgent (+_+)
15 points
Answers
Anneyonghaseyo!!
Radius = 10.5 m
Diameter = 10.5 × 2 = 21 m
Circumference = πd
= 22/7 × 21
= 66 m.
Cost of fencing 1 metre = ₹ 4
Cost of fencing 2 rounds = ?
2 rounds = 2 × circumference
= 2 × 66
= 132 m
Cost of fencing 2 rounds = 132 × 4
= ₹ 528.
________
꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂
¿Cuál es la probabilidad de que una mujer que ha sido vacunada en este lapso de cuatro
meses haya recibido su segunda dosis en octubre ?
Answers
Answer: buddy if you put it in English i can do it I’m a teacher
Step-by-step explanation:
24 is 40% of what number? Use percent equation.
Answers
Answer:
24 is 40% of 60
Step-by-step explanation:
Hi I was wondering if someone can help me with the math problem?
Answers
Answer: 20:12 for the first one
Step-by-step explanation:
5:3, 20:12,
What percentage of a dollar is the value of 1 nickel and 3 pennies?
Answers
Answer:
8%
Step-by-step explanation:
1 dollar is 100 cents. 1 nickel and 3 pennies is 5+3 = 8 cents. 8 cents would be 8/100 = 8% of 100.
1 nickel and 3 pennies is 5.000000681 percent of a dollar.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
We know 1 nickels which is equal to 5 cents = 0.05 dollars.
1 penny = 0.00000000227 dollars
∴ 3 pennies is = 0.00000000681.
∴ 1 nickel and 3 pennies = 0.05000000681.
∴ 1 nickel and 3 pennies is (0.05000000681/1)×100% of a dollar.
= 5.000000681% of a dollar.
learn more about percentages here :
https://brainly.com/question/24159063
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Need only #5 done (Show work) will give brainliest
Answers
The distance between K and M = 35 (from the question)
[tex]2x - 5 + 2x = 35[/tex] (Reason: All individual distances in a line i.e. [tex]KL[/tex] and [tex]LM[/tex] sum up to give the distance [tex]KM[/tex]).
Collecting like terms:
[tex]2x + 2x = 35 + 5[/tex], [tex]4x = 40[/tex] (Reason: All similar terms in an expression can be computed with one another i.e. added or subtracted).
Dividing by the variable's coefficient:
[tex]4x = 40[/tex], [tex]x = 10[/tex] (Reason: The coefficient is a similar factor to both terms in both sides, diving 40 by 4 gives you 10, hence the statement has been proven).
Step-by-step explanation:
Statement ReasonL is between K and M GivenKM = 35 GivenKL = 2x - 5, LM = 2x GivenKM = KL + LM Segment addition 35 = 2x - 5 + 2x Substitution 35 + 5 = 4x Addition property40 = 4x Simplification10 = x Division propertyx = 10 Proved