If ∆ABC is an isosceles triangle and ∆DBE is an equilateral triangle, find each missing measure.
Answers
Answer:
∠1=∠9=43°, ∠2=∠7= 17°, ∠4=∠5=∠6=60°, ∠3=∠8=120°
Step-by-step explanation:
Given ABC is an isosceles triangle and DBE is an equilateral triangle. we have to find each missing measure.
In triangle ABC,
∠1=∠9 (∵isosceles triangle)
⇒ 4x+3=9x-47
⇒ 9x-4x=3+47 ⇒ 5x=50 ⇒ x=10
Hence, ∠9=∠1=(4x+3)°=4(10)+3=43°
Also, given ΔBDE is an equilateral triangle, and all angle of equilateral triangle are equal.
∴ ∠4+∠5+∠6=180°
⇒ ∠4+∠4+∠4=180° ⇒ 3∠4 = 180° ⇒ ∠4 = 60°
∴ ∠4=∠5=∠6=60°
By exterior angle property, ∠3=∠5+∠6=60°+60°=120°
∠8=∠5+∠4=60°+60°=120°
In ΔABD, ∠1+∠2+∠3=180°
⇒ 43°+120°+∠2=180°⇒ ∠2 = 17°
In ΔABD, ∠9+∠8+∠7=180°
⇒ 43°+120°+∠7=180°⇒ ∠7= 17°
Step-by-step explanation:
Related Questions
Can you help, Solve for x. -2 + 3x = 2х + 6 +
X
Answers
Answer:
trick question
Step-by-step explanation:
The equation cannot be answered since if you add like terms you have 3 x on each side but different total values
Suppose that G(x) = F(x) + 5. Which statement best compares the graph of
G(x) with the graph of Fx)?
A. The graph of G(x) is the graph of Fx) shifted 5 units to the right.
B. The graph of G(x) is the graph of f(x) shifted 5 units down.
C. The graph of G(x) is the graph of F(x) shifted 5 units up.
D. The graph of G(x) is the graph of Fx) shifted 5 units to the left.
Answers
G(x)= f(x) shifted 5units upward
Answer is C
The solution is, The correct option is (C).
The graph of G(x) is the graph of F(x) shifted 5 units up.
What is graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
here, we have,
Given:
G(x) = F(x) + 5
As, the transformation takes place so there is a positive five.
The value of the function for a given x is the vertical position of the point on the graph.
Adding 5 to the function value shifts the graph up 5 units.
Hence, The graph of G(x) is the graph of F(x) shifted 5 units up.
Learn more about graph here:
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What is the length of ST?
S
T T
-
+
mm
- 2 - 1
2
3
Answers
Answer:
5 ??????????????????????????????????
I think oop :)
What are the points? will mark brainlist
Answers
Answer:
1-(0, 4)
2-(-4, 3)
3-(2, 0)
4-(0, -1)
Step-by-step explanation:
hope this helps :3
if it did pls mark brainliest
What is 20 times 4 thousand
Answers
Answer:
80,000
Step-by-step explanation:
Hope I helped. please mark brainiest.
Answer: 80,000
Step-by-step explanation: I did math give me brainliest pls
Distribute 3(x^2+2x)
Answers
Explanation: Multiply each term in the parentheses by 3.
Answer:3
3[tex]x^{2}[/tex]+6x
is this what you want?
Step-by-step explanation:
PLEASEEEEEEEEEEEEEE HELP NOW ITS DUE IN 5 min!!! Samuel needs 337 feet of wood to build a fence. The wood comes in lengths of 14 feet.
How many total pieces of wood will Samuel need? Theresa needs twice as many feet of wood as Samuel. How many pieces of wood does Theresa need?
Samuel needs
____ pieces of wood.
Theresa needs
______pieces of wood.
Answers
What is the length of leg s of the triangle below?
Answers
Answer: S=4 “C is correct”
Step-by-step explanation:
Both legs equal each other so if one leg is 4 the other leg is 4. I got the answer right in the Apex quiz.
If a +5 = b + 3 and a + 5 = 12, then b +3=
That’s the question and this is Transitive Property of Equity
Answers
b+3=b+5
Hannah bought a sweater on sale for $24. If that was a fourth of the original price what is the original price?
Answers
Answer: 6$
Step-by-step explanation:
Which function is the inverse of fx) = 8x + 4?
OA. 5-11%) = –8(– 4)
OB. 9-11x) =
f-11) = 54
OC -18) = 8(x – 4)
OD. 1-11x) = -554
Answers
5^3 / 5^-3 oooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo
Answers
Answer: 5^3 / 5^-3 = 5^6 = 15,625
Step-by-step explanation:
Ok, you may find useful for problems like this the next two relations:
[tex]x^a*x^b = x^{a + b}[/tex]
[tex]x^a/x^b = x^{a - b}[/tex]
Now we have the equation:
5^3/5^-3
We have a quotient, then we need to use the second relationship, where:
x = 5
a = 3
b = -3
5^3/5^-3 = 5^(3 - (-3)) = 5^(3 + 3) = 5^6 = 15,625
Help pleaseeeeeeeeee
Answers
Answer:
the answer is (A).......
When a negative base is raised to the power of an even number, the answer is always
Answers
Answer:
When a negative base is raised to the power of an even number, the answer is always positive.
Step-by-step explanation:
You play basketball At your schools indoor stadium. You have two payment options. Option A is to buy a membership card for $20 and pay $2 each time you go to the gym, t. Option B is to pay $4 each time you go. After how many trips to the gym will the cost be the same?
Answers
Answer:
10 trips
Step-by-step explanation:
Let the number of trips to the gym be represented by t
Option A is to buy a membership card for $20 and pay $2 each time you go to the gym.
$20 + $2× t
20 + 2t
Option B is to pay $4 each time you go.
$4 × t
= 4t
After how many trips to the gym will the cost be the same?
Option A = Option B
20 + 2t = 4t
Collect like terms
20 = 4t - 2t
20 = 2t
t = 20/2
t = 10 trips.
After 10 trips, the gym cost will be the same.
I need help getting the answer
Answers
2.) $0.19
you just divide the price by the # of tortillas
3(5x+1)-3x=2-3(3x+1)
Answers
Answer:
x = − 4 \21
Step-by-step explanation:
Answer:
x= [tex]-\frac{4}{21}[/tex]
Step-by-step explanation:
Step 1- Distribute into the parenthesis.
(3)5x+(3)1-3x=2+(-3)3x+(-3)1
Step 2- Multiply.
15x+3-3x= 2-9x-3
Step 3- Add common variables.
(15x-3x)+3=(2-3)-9x
12x+3=-1-9x
Step 4- Add 9x to both sides.
12x+3= -1-9x
+9x +9x
21x+3= -1
Step 5- Subtract 3 to both sides.
21x+3= -1
-3 -3
21x= -4
Step 6- Divide both sides by 21.
21x= -4
21 21
x= [tex]-\frac{4}{21}[/tex]
F(x) = 3x-1. g(x)=x2+1. What is (f+g)(x)?
Answers
Answer:
x^2 + 3x
Step-by-step explanation:
Just add like terms:
(f + g)(x) = 3x - 1 + x^2 + 1. Notice that you must use " ^ " or equivalent to denote exponentiation.
(f + g)(x) = 3x - 1 + x^2 + 1 = x^2 + 3x + 1 - 1
(f + g)(x) = 3x - 1 + x^2 + 1 = x^2 + 3x
round 63.796 to the nearest whole number
Answers
Answer:
the correct answer would be 64
Answer:
64Step-by-step explanation:
63.796
63.80
63.8
64
Hope this helps! <3
y = 5x + 2 and y = 5x – 1 parallel, perpendicular, or neither
Answers
Answer:
Parallel
Step-by-step explanation:
Parallel lines have the same slope, in this equation it is a slope of 5.
The given lines are parallel in nature.
What is slope?Numerical measure of a line's inclination relative to the horizontal.
Equation of a line is written in the form y = mx + b, it is called the slope-intercept form of the equation.
Given:
y = 5x + 2 and y = 5x – 1
The slope for line 1 is 5.
and, the slope for line 2 is 5.
For, perpendicular line the slope of both lines are negative inverse relation.
But here the slope of both line are same which have parallel nature.
Hence, both lines are parallel in nature.
Learn more about slope here:
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What is the slope of the line that passes through the points (3, 10) and
(-13, 2)?
The answer choices are
M=3
M=-2
M=-3
M=1/2
Answers
Answer: 1/2
Step-by-step explanation:
2-10/ -13-3
-8/ -16
_____
2
1/2
Help please!! Thank you!
Answers
Answer:
S
Step-by-step explanation:
The vertex is S. The angle can only be measured from point S.
Explanation:
I hope I’m not late
Which sentence contains a word that is misspelled because a silent letter has been left out?
A
She completely forgot the chords to the song.
B
Courtesy costs nothing, but it pays off in huge dividends.
C
Since rent prices in the city were higher than most morgages, she tried to buy a house.
D
Between traffic jams and a lack of nearby parking, we arrived very late to the comic convention downtown.
Answers
Answer:
C
Step-by-step explanation:
Morgages is spelled mortgages
Morgages is spelled wrong. It’s actually spelled mortgages.
Write an integer that represents the situation. Do not type any units, labels, or spaces or your answer will be scored as incorrect. Death Valley California is the lowest land in the United States, and portion of it lies two hundred eighty two feet below sea level.
Answers
Answer:
-282
Step-by-step explanation:
Given
[tex]Position = 282ft[/tex]
Required
Represent this with an integer.
Since, it is below the se level.
The integer is:
[tex]Integer = Sea\ Level - Position[/tex]
Where:
[tex]Sea\ Level=0[/tex]
[tex]Integer = Sea\ Level - Position[/tex]
[tex]Integer = 0 - 282[/tex]
[tex]Integer = -282[/tex]
Please help ASAP 4 and 5 will mark brainliest and give 10 points
Answers
Answer
I know the answer to number 4 is No
Step-by-step explanation:
Because when you plug the coordinates (8,-44) into the equation y=-7x+6 it gives the wrong output of -50
Create an equation of a line that crosses the y-axis at the origin and has a slope of 1/2
Answers
Answer:
since the line goes through the origin you dont need a y intercept.
y= x/2
or y= 1/2 x
PLEASE HELP ME ಥ‿ಥ!!!!
Answers
Yes the answer is d
can you also explain please thank you
Answers
Answer: the rate of change would be 10 because if u look at x u just cout to u get to the next number and it would be 10!
what is the difference between -0.4 and 44.4?
Answers
Answer:
44.8
Step-by-step explanation:
Answer: The difference between two numbers can be obtained by subtracting the smaller number from the bigger number. Here, - 0.4 is the smaller number, and 44.4 is the larger number. Therefore, the difference between the two is 44.4 - (- 0.4)
Step-by-step explanation: follow me and i will give you more answers to all your questions
Solve for x:
logx=3log2
(I forgot how to do simple logarithmic equations lol)
thanks in advance!