Answers
Answer:
The answer is <ACD = 68°
Step-by-step explanation:
Using the property that the sum of interior angles in a triangle is equal 180°,we have:
<DAC + <ACD + <ADC = 180°
[tex]2x + (180 - 4x) + 56 = 180 \\ - 2x + 56 = 0 \\ 2x = 56 \\ x = \frac{56}{2 } \\ x = 28[/tex]
Finally, calculating the angle <ACD, we have:
<ACD = 180 - 4x
<ACD = 180 - 4 . 28
<ACD = 180 - 112
ACD = 68°
Answer:
x = 28°
m∠ACD = 68°
Step-by-step explanation:
From inspection of the given diagram:
m∠FDC = 124°m∠EAB = 2xm∠ACG = 4xVertical Angle Theorem
When two straight lines intersect, the vertical angles are congruent.
⇒ m∠DAC = m∠EAB = 2x
Angles on a straight line sum to 180°:
⇒ m∠ACD + 4x = 180°
⇒ m∠ACD + 4x - 4x = 180° - 4x
⇒ m∠ACD = 180° - 4x
Exterior Angle Theorem
The exterior angle of a triangle is equal to the sum of the two non-adjacent interior angles of the triangle.
⇒ m∠DAC + m∠ACD = m∠FDC
⇒ 2x + (180° - 4x) = 124°
⇒ -2x + 180° = 124°
⇒ -2x + 180° - 180° = 124° - 180°
⇒ -2x = -56°
⇒ -2x ÷ -2 = -56° ÷ -2
⇒ x = 28°
To find m∠ACD, substitute the found value of x into the expression for the angle:
⇒ m∠ACD = 180° - 4x
⇒ m∠ACD = 180° - 4(28°)
⇒ m∠ACD = 180° - 112°
⇒ m∠ACD = 68°
Related Questions
Solve the triangle.
B = 36°, a = 38, c = 18
b ≈ 41.7, C ≈ 28.2, A ≈ 115.8
b ≈ 25.7, C ≈ 24.2, A ≈ 119.8
b ≈ 25.7, C ≈ 116.8, A ≈ 27.2
b ≈ 41.7, C ≈ 24.2, A ≈ 119.8
Answers
Answer:
b ≈ 25.7, C ≈ 24.2, A ≈ 119.8
Step-by-step explanation:
b² = a² + c² - 2ac·cos(B)
b² = 38² + 18² -2·38·18·cos(36°) ≈ 661.26475
b ≈ 25.715
sin(C)/c = sin(B)/b
C = arcsin(c/b·sin(B)) ≈ 24.29515°
∠A can be found as 180° - ∠B - ∠C
A = arcsin(a/b·sin(B)) ≈ 119.70485°
can someone please help me
Answers
9514 1404 393
Answer:
$24,670.42
Step-by-step explanation:
Assuming interest is compounded, the account value is multiplied each year by (1 + 8.25%) = 1.0825. After 25 years, the account value is ...
$3400·1.0825^25 = $24,670.42
someone pls help tysm if you do<33
Answers
Answer:
z = 15
Step-by-step explanation:
(I quit brainly because, they deleted 1000+ answers from my account....) however if I want to see answers than I think I have to answer some questions so I'll answer this one.
First we know that y would be 180.
Therefore CD=90
y-cd=90
90=5z+z
90=6z
90=6(15)
90=90
or
90=5z+z
90=6z
/6 /6
15 = z
z = 15
Find the missing length
Answers
Answer: 15
Step-by-step explanation:
For this you will have to use pythagoras’ theorem.
The formula for the shorter side of this triangle is u²=c²-b² (or in this case u²=17²-8²).
17²=289
8²=64
The formula becomes u²=289-64 or u²=225
Then to find u on its own you have to square root 225.
The square root of 225 is 15.
Please help. Pleaaseeeeeee :))
Answers
Answer:
H:Median
Step-by-step explanation:
We know that Median means the middle, and we know that lines AB or in the middle of the page.
why do we get lonely also
what is 33/6 coverted to a mixed number
Answers
idek
Answer: 5 3/6 or 5 1/2
If 3% of a number equals 1, find 12% of that number.
Answers
Answer:
Number is 4
Step-by-step explanation:
.03n = 1
n = 1/.03
.12 x (1/.03) = 4
If 3/4 of the 1000 tickets were sold, how many tickets were sold?
Answers
Answer:
750 tickets were sold
Step-by-step explanation:
Answer:
750, I now give dog
Step-by-step explanation:
I’m confused on this
Answers
Step-by-step explanation:
[tex] \underline{ \underline{ \text{Given}}} : [/tex]
a = -3 , b = 2 , c = 5 & d = -4[tex] \underline{ \underline{ \text{To \: Find}}} : [/tex]
Value of the given expression : [tex] \tt{ \frac{a - 4b}{3c + 2d}} [/tex][tex] \underline{ \underline{ \text{Solution}}} : [/tex]
Plug the known values and then simplify !
⤑ [tex] \tt{ \frac{ - 3 - 4 \times 2}{3 \times 5 + 2 \times ( - 4)}} [/tex]
⤑ [tex] \tt{ \frac{ - 3 - 8}{15 + ( - 8)}} [/tex]
⤑ [tex] \tt{ \frac{ - 11}{15 - 8}} [/tex]
⤑ [tex] \tt{ \frac{ - 11}{7}} [/tex]
[tex] \red{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline{ \tt{ \frac{ - 11}{7}}}}}}}} [/tex]
Hope I helped ! ツ
Have a wonderful day / night ! ♡
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
A coin is flipped 10 times and lands on heads 8 times. The theoretical probability that the next coin flip will be heads is 50%.
True or False
Answers
True
Even though it landed on heads 8/10 times, ther's still a 50% chance that it will land on tails. It doesn't change the percentage of it landing on either side. So in that case, it is true.
Hope this helps!
The statement, A coin is flipped 10 times and lands on heads 8 times. The theoretical probability that the next coin flip will be heads is 50% is True.
What is probability?The probability of an occurrence is a figure that represents how likely it is that the event will take place. In terms of percentage notation, it is expressed as a number between 0 and 1, or between 0% and 100%.
here, we have,
we know that,
The higher the likelihood, the more likely it is that the event will take place. A definite occurrence has a chance of 1 while an impossible event has a probability of 0.
we have,
When a coin is flipped the probability of getting a heads and a tail is 50%.
Hence, without the consideration of the flips and the result the theoretical probability that the next coin flip will be heads is 50%.
The statement, A coin is flipped 10 times and lands on heads 8 times. The theoretical probability that the next coin flip will be heads is 50% is True.
Learn more about probability here:
brainly.com/question/30034780
#SPJ2
reflect shape a in the line y = 4
Answers
Hi if u could help me that'd be great
Answers
Answer:
1 hour and 45 minutes
and 1 hour
Step-by-step explanation:
x= run
y= walk
5x+2.5y = distance
5x+2.5(1.5)=12.5
solve for x
5x=8.75
x=1.75
1.75 in hours is 1 hour and (60*.75)=45
1 hour and 45 minutes
" If the marathon race participant ran for 2 hours, how many hours did the participant walk?"
We use the same equation
5x+2.5y=distance
we'll assume that they till walked 12.5 miles
which means that
5(2)+2.5y=12.5
solve for y
2.5=2.5y
y=1
1 hour
Answer:
Everybody, everybody
Get out on the floor
It can get a little crazy
When the kick hits the floor
Make a scene Make a scene
Nobody can ignore
Don't knock it, til you rock it
We can't take it no more!
Bring the lights up!
Bust the doors down!
Dust yourself off,
Shake it up!
Shake it up!
DJ set it off!
Take it up a notch
All together now!
Shake it up!
Shake it up!
Step-by-step explanation:
Please help will mark brainliest
Answers
Answer: B
Step-by-step explanation: because 2/3 = 0.66666, So 0.66 is greater than 0.6 Hope this helps. pls mark me brainliest :)
What is the perimeter of this triangle? 16 ft 8 ft 4 ft 12 ft
Answers
Answer:
40
Step-by-step explanation:
16 + (4+12) = 32 + 8 = 40
PLZ HELP ME AND HURRRY
Answers
Answer:
for the third question y = 5, x = 3
Step-by-step explanation:
any help? (with photos)
Answers
Answer:
the area of the shape is 24
Step-by-step explanation:
What is the selling price for a backpack if a store pays $72 and the markup is 32%? Be ready to explain your answer.
Answers
Answer:
95.04
Step-by-step explanation:
72.00 x 32%=23.04
23.04+72=95.04
✨I NEED A SMART PERSON✨ (math)
Answers
Answer:
A and E.
Step-by-step explanation:
Using the math from 7th grade, 6 rooted is 36/9=4+10 is 14. Everything else you must multiply everything in parenthesis, by the outside number, then you add them. E is right because -15+35=20-6=14. Yw.
2 questions correct anwser gets brainlyess
Answers
Answer:
Question 1: x=55Question 2: m∠A=45°Step-by-step explanation:
Question #1
- Since it is an isosceles triangle, this means that the base angles have the same value.
- The angle sum is 180°
Solve
2x+35+35=180
2x+70=180
2x=110
x=55
Question #2
- Since it is given there is a right angle, this means the angle is 90°
- The angle sum is 180°
Solve
5x+5x+90=180
10x+90=180
10x=90
x=9
It asked to find m∠A, which is 5x. So 5x=5(9)=45°
Hope this helps!! :)
Please let me know if you have any questions
Help!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
A) g = 11
Step-by-step explanation:
26 = 7g - 63 + 12
26 = 7g - 51
77 = 7g
g = 11
can some help me wit dis
Answers
The answer is 6
•Triangles always equal 180 degrees
•The top angle is 90 meaning the others are 45
45+3=48
48/8=6
1) How many cm are there in 1.6 metres
2) how many millilitres are there in 7.4 cm
Answers
2) 74 millilitres
does a rectangle have both pairs of opposite sides that are perallel.
Answers
Answer:
Yes
Step-by-step explanation:
If they do not run into each other then yes
Answer:
ya it has 2 pairs of parallel sides.
Step-by-step explanation:
⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️
Answers
Answer: lol why so expensive.
help me pls , im stupif
Answers
It's alright, you're not stupif. It's just a little bit complicated if it's either your first time doing it or has been a while since you did it last.
r: 16 km. d: 32 km.
The Formula is: C = 2πr. Because it says below the rest of the data that we use 3 for pi, and since we have r, which is 16, the equation becomes C = 2(3)(16).
The answer becomes 96 Kilometers.
Use the table to write a linear function that relates y to x
Answers
Answer:
y=0
x=-4
Step-by-step explanation:
equation
y= -4x
i was wrong sorryyyy
the product of 5 and 3 subtracted from 25
Answers
explanation
5x3=15
25-15=10
Answer:
10
Step-by-step
5*3=15
25-15=10
Michelle has a round lamp to which she wants to add beads. The diameter is 12.2. How many inches of the beads will she need to go around the lamp
Answers
Answer: 38.31 inches
Step-by-step explanation:
We can think on the round lamp as a circle, then the inches of beads that she will need to go around the lamp is equal to the perimeter of the lamp.
The perimeter of a circle of diameter D, is:
Perimeter = pi*D
where pi = 3.14
In this case, we know that the diameter is 12.2 inches.
Replacing that in the above equation we get that the diameter of the lamp is:
Perimeter = 3.14*12.2 in = 38.31 in
Then Michelle needs 38.31 inches of the beads to go around the lamp.
Simplify sin2q cot2q.
Answers
Answer:
cos2q
Step-by-step explanation:
sin2q x cos2q/sin2q
= cos2q
please help solve this
(8x-4)(x^{3}-x-5)
Answers
(x−1)(x−2)2=0(x-1)(x-2)2=0
If any individual factor on the left side of the equation is equal to
00
, the entire expression will be equal to
00.x−1=0x-1=0(x−2)2=0(x-2)2=0
Set the first factor equal to
00
and solve.
x=1x=1
Set the next factor equal to
00
and solve.
x=2x=2
The final solution is all the values that make
(x−1)(x−2)2=0(x-1)(x-2)2=0
true.
x=1,2x=1,2