Answers
Given:
AD is an angle bisector in triangle ABC. [tex]m\angle CAB=44^\circ, m\angle ACB=72^\circ, m\angle ABC=64^\circ[/tex].
To find:
The value of [tex]m\angle ADC[/tex].
Solution:
AD is an angle bisector in triangle ABC.
[tex]m\angle CAD=m\angle BAD=\dfrac{m\angle CAB}{2}[/tex]
[tex]m\angle CAD=m\angle BAD=\dfrac{44^\circ}{2}[/tex]
[tex]m\angle CAD=m\angle BAD=22^\circ[/tex]
According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees.
Using angle sum property in triangle CAD, we get
[tex]m\angle CAD+m\angle ADC+m\angle ACB=180^\circ[/tex]
[tex]22^\circ+m\angle ADC+72^\circ=180^\circ[/tex]
[tex]m\angle ADC+94^\circ=180^\circ[/tex]
[tex]m\angle ADC=180^\circ-94^\circ[/tex]
[tex]m\angle ADC=86^\circ[/tex]
Therefore, the angle of angle ADC is [tex]86^\circ[/tex].
Related Questions
find the volume of a prism 5 feet tall whose base is a right triangle with leg lengths 3/2 feet and 9 feet
Answers
Answer:
33.75
Step-by-step explanation:
The volume of a right triangle prism is 33.75 cubic feet which is 5 feet tall.
It is given that the prism is 5 feet tall whose base is a right triangle with leg lengths of 3/2 feet and 9 feet.
It is required to find the volume of the prism.
What is volume?It is defined as a three-dimensional space enclosed by an object or thing.
We have 5 feet tall prism ie.
height of the prism h = 5 feet
and base b = 3/2 feet
and length = 9 feet
We know the volume of the right triangle prism is given by:
[tex]\rm V = \frac{b\times h\times l }{2}[/tex]
Putting the values of b, h, and l, we get:
[tex]\rm V =\frac{\frac{3}{2} \times 5\times 9}{2}[/tex][tex]\rm V = \frac{3 \times 5\times 9}{2\times2} \Rightarrow \frac{135}{4}[/tex]
V = 33.75 cubic feets
Thus, the volume of a right triangle prism is 33.75 cubic feet which is 5 feet tall.
Learn more about the volume here:
https://brainly.com/question/16788902
WILL GIVE BRAINLIEST!
As part of a training program for the Boston Marathon, a runner wants to build endurance by running at a rate of 12 mph for 15 min. How far will the runner travel in that time period? _ mi
Answers
The distance travelled by the runner running at a rate of 12 mph for 15 min is 3 miles.
Speed is the ratio of distance travelled to time taken. Speed is given by:
Speed = distance/time
Given that the runner is running at a rate of 12 mph for 15 min, hence:
speed = 12 mph, time = 15 min * 1/60 min per hour = 0.25 hours.
Hence:
Speed = distance/time
12 mph = distance/0.25 hours
distance = 3 miles
The distance travelled by the runner running at a rate of 12 mph for 15 min is 3 miles.
Find out more at: https://brainly.com/question/22610586
Yolanda reads 7 1/2 chapters in 3 1/8 hours. What is the unit rate in chapters per hour? Write your answer as a fraction or a mixed number in simplest form.
Answers
Answer:2.4 chapters
Step-by-step explanation:
pls help ill give brainliest to the PERSON WHO GETS IT RIGHT
Answers
Answer:
C) [tex]s\geq 5[/tex]
Step-by-step explanation:
The phrase "at least", represents the greater than or equal to sign. Only Option C shows this sign, so it's correct.
Hope it helps!
Roberto has $71 to buy baseballs for his little league team. Each baseball
costs $7. How many baseballs can he buy? Do not include units in your
answer.
Answers
Answer:
10
Step-by-step explanation:
he can buy 10 because 7×10=70
Answer:
10
Step-by-step explanation:
Someone help and please make sure it’s right :)
Answers
Answer:
15x+8=180-97 , solve for x and u shall get the answer
Answer:5
Step-by-step explanation:
Since 97 and the other angle together make a straight line, you can find the angle by doing 180-97 which is 83. Then you 15x+8=83. 15x=75. x=5.
A triangle was translated 4 units down.
In the graph, which figure is the pre-image and which
figure is the image?
O AFGH is the image and A ABC is the pre-image
AFGH is the pre-image and AABC is the image.
Both triangles are images.
The image cannot be determined from the graph.
Answers
Given:
A graph that contains image and preimage.
To find:
Which figure is the preimage and which figure is the image.
Solution:
Initial figure is known as preimage and translated figure is known as image.
It is given that a triangle was translated 4 units down. It means, the upper triangle is preimage and the lower triangle is the image.
So, ΔFGH is the pre-image and ΔABC is the image.
Therefore, the correct option is B.
the answer is B :0
i got it right on my assignment !!!!
Assessment started: undefined.
Item 1
Which situation does this equation model?
12 × 6 = n
Maria completed 12 cartwheels. This is 6 more cartwheels than James completed. James completed n cartwheels.
Sarah's dog weighs 12 pounds. Jordan's dog weighs 6 times as much as Sarah's dog. Jordan's dog weighs n pounds.
Jada swam 12 laps in the pool. This is 6 times as many laps as Juan swam. Juan swam n laps.
Kiki collected 12 seashells on the beach. Min collected 6 more seashells than Kiki collected. Min collected n seashells.
Answers
please help me!! i need help
Answers
Answer:
Please find attached pdf
Step-by-step explanation:
need help cuz i don't know what in doingggg
Answers
It would be 27/-10+7 = 24
Please help me this is my final!!!
Answers
Answer:
it is a, or n=15
Step-by-step explanation:
Answer:
n=15 (No it's not cap)
Step-by-step explanation:
if the interior angle is 156 then to find the exterior angle we just do 180-156 which equals 24
360/24=15 so there are 15 sides
Marla used 17 gallons of water to wash 6 dogs. She used the same amount of water to wash each dog . How much water did marla use to wash the dogs?
Answers
Answer:
17 gallons.
Step-by-step explanation:
was this a trick question
Answer:
2.83 3 repeating
Step-by-step explanation:
20 POINTS
On the news yesterday, the weather forecaster’s rainfall prediction was 20% off. If 2.5 inches of rain actually fell today, what are the two rainfall predictions that could have been made during the weather forecast?
Giving brainliest to the BEST EXPLAINED answer. All answers that are irrelevant to the question will be reported and removed.
Middle School Math
Answers
2.5=1.2x
x=25/12
2.5=0.8x
x=25/8
A certain man has a negative balance of P250 in his back account b) suppose he deposits P300 in his back account ,what is the current balance in his account?
Answers
Answer: $50
Step-by-step explanation:
From the question, we are informed that a certain man has a negative balance of P250 in his back account and that he then deposits P300 in his back account.
The current balance in his account? will then be gotten by adding the negative balance of $250 to the $300 deposited. This will be:
= -$250 + $300
= $50
Therefore, his current balance will be $50
Use the figure below to solve for the value of x.
Answers
Given:
A figure of a right triangle and an altitude form the right angle vertex to hypotenuse.
To find:
The value of x.
Solution:
From the given figure, it is clear that the altitude divides the hypotenuse in two segments x and 8.
Length of altitude = 18
If an altitude divide the hypotenuse in 2 segments, then according to the geometric mean theorem, the length of the altitude is the geometric mean of two segments of hypotenuse.
By using geometric mean theorem, we get
[tex]18=\sqrt{x\times 8}[/tex] [tex][\because \text{Geometric mean of }a,b,c:b=\sqrt{ac}][/tex]
[tex]18^2=8x[/tex]
[tex]324=8x[/tex]
Divide both sides by 8.
[tex]\dfrac{324}{8}=x[/tex]
[tex]40.5=x[/tex]
Therefore, the value of x is 40.5.
1. Simplify each of the following.
(a) 4(6-1)-9
Answers
explanation: trust me bro
Answer:
11
Step-by-step explanation:
4 (6-1)-9
4 (5) - 9
20 - 9
= 11
Plz Help me!!!
will mark brainliest!!
Answers
Answer:
3x² * (6x² + 4x - 8) = 18x⁴ + 12x³ - 24x²
2x * (9x³ + 6x² - 12x) = 18x⁴ + 12x³ - 24x²
x² * (18x² + 12x - 24) = 18x⁴ + 12x³ - 24x²
6x² * (3x² + 2x - 4) = 18x⁴ + 12x³ - 24x²
Step-by-step explanatation:
Let's set unknown variables as y (and y₁, y₂, etc)
Question 1:
y * (6x² + 4x - 8) = 18x⁴ + 12x³ - 24x²
So, divide both sides by (6x² + 4x - 8)
y = 3x²
Question 2:
2x * (9x^y₁ + y₂*x^y₃ - y₄*x) = 18x⁴ + 12x³ - 24x² '
Divide both sides by 2x.
(9x^y₁ + y₂*x^y₃ - y₄*x) = 9x³ + 6x² -12x
y₁ = 3, y₂ = 6, y₃ = 2, y₄ = 12
Question 3:
x^y * (18x² + 12x - 24) = 18x⁴ + 12x³ - 24x²
Divide both sides by (18x² + 12x - 24)
x^y = x²
Question 4:
y₁ * x^y₂ * (3x² + 2x - 4) = 18x⁴ + 12x³ - 24x²
Divide both sides by (3x² + 2x - 4)
y₁ * x^y₂ = 6x²
y₁ = 6, y₂ = 2
I hope this helps! Feel free to ask any questions!
Identify the pair of exponents that would make this statement FALSE
Answers
Answer:
the right one is b
Step-by-step explanation:
because if you add all of the other oned it would be 24
DESPERATE WILL GIVE BRAINLIST AND THANKS
Use the data to create a scatter plot.
Weight vs. Stretch Distance
PointMove
UndoRedoReset
Stretch distance (cm)Weight (N)
1
2
3
4
5
6
7
8
9
10
1
2
3
4
5
6
7
8
9
10
0
Stretch distance (cm)
Weight (Newtons)
2.0
1
3.5
2
4.0
2
4.5
3
5.5
5
6.0
6
7.5
8
9.0
9
(plz show the graph picture with the answer)
Answers
Answer: What you must do for this case is to graph each of the ordered pairs that you have in the table to obtain the dispersion chart. Note that in your table you have eight ordered pairs, therefore, your scatter chart must have eight pairs.
Step-by-step explanation:
8 + 25 x 2 to the power of 2
Answers
Answer:
3,364
Step-by-step explanation:
8 + 25 x 2
To solve this one, you multiply first according to PEMDAS. So,
25*2= 50
It is now 8+50 so you add that and you get 58
Now 58 with a power of 2 can als be written as 58^2
Basically you multiply 58 two times.
58*58=3,364
3,364
Hope this helps!!
-Ketifa
(Can I get brainliest?)
A mattress 39 inches wide×80 inches long× 11 inches high. How many will fit in a 30 yard dumpster at 8 feet wide × 22 feet long × 6 feet high. It holds 30 cubic yards of waste.
Answers
If each of the numbers in the following data set were multiplied by 26, what
would be the new median of the data set?
14, 20, 18, 58, 71, 36
O A. 728
OB. 520
O C. 936
O D. 676
Answers
Answer:
Step-by-step explanation:
728 answer is C
Evaluate the logarithm.
log 0.00001
Answers
The logarithm base 10 of 0.00001 is -5.
The logarithm of 0.00001 can be evaluated using the base 10 logarithm, commonly denoted as log10.
In this case, log10(0.00001) is asking "What power of 10 gives us 0.00001?"
To understand this, let's rewrite 0.00001 in scientific notation.
0.00001 can be expressed as 1 x 10⁻⁵, where -5 is the exponent.
Therefore, log10(0.00001) = -5.
This means that 10 raised to the power of -5 equals 0.00001.
Learn more about Logarithm here:
https://brainly.com/question/30226560
#SPJ6
The wholesale price of a special speaker was $64. It was then marked up 85% and sold online. What was the online price?
Answers
Alan spent $9.17 on oranges. If oranges are selling for $0.35 a pound, how many pounds of oranges did Alan buy
Answers
Answer:
He bought 26.2 pounds.
Step-by-step explanation:
9.17/0.35 = 26.2
what is 5 yards rounded to the nearest tenth
Answers
Answer: Its just 5
Step-by-step explanation: Its always the first digit of the number.
How would this following triangle be classified
Answers
Answer:
Isosceles right
Step-by-step explanation:
This triangle would be classified as Isosceles right because all the sides are the same length, which classifies as Isosceles, and the triangle has a right angle (90 degrees).
Not sure how to do this, the lesson didn't explain this well.
Answers
plug it in
2x+(1)=5 & 2(1)=2x-8
then u will find x which is 2
x=2, y=1
(2,1)
Solve for m.
6 - 2
6 + 2
2 - 6
Answers
Answer:
[tex]m=6+2\sqrt{5}[/tex]
Step-by-step explanation:
Find the solution of the system of equations.
-3x + 10y = 2
- 3x + 3y = 9
Answers
Answer:
(-4,-1)
Step-by-step explanation:
Try plugging into Desmos Graphing Calculator