If mAD
-
(17x + 2); mAC = (7x – 10), and m_ABC = (4x + 15), find m_ABC.
A
B
G
C С
D
Answers
Answer:
36
Step-by-step explanation:
you add the first two the order of operations then you do big and little
Applying the angle of intersecting tangents theorem, m∠ABC = 99°
What is the Angle of Intersecting Tangents Theorem?If two tangents intersect and form an angle outside a circle, based on the angle of intersecting tangents theorem, the angle formed equals half the positive difference of the intercepted arcs.
Given the following:
m(AD) = (17x + 2)m(AC) = (7x – 10)m∠ABC = (4x + 15),Apply the angle of intersecting tangents theorem:
m∠ABC = 1/2[m(AD) - m(AC)]
Substitute
4x + 15 = 1/2[(17x + 2) - (7x - 10)]
2(4x + 15) = 17x + 2 - 7x + 10
8x + 30 = 10x - 12
8x - 10x = -30 - 12
-2x = -42
x = -42/-2
x = 21
m∠ABC = (4x + 15)
Plug in the value of x
m∠ABC = 4(21) + 15 = 99°
Learn more about the angle of intersecting tangents theorem on:
https://brainly.com/question/9143293
Related Questions
BELOW IS THE PROBLEM
Answers
9514 1404 393
Answer:
5.3
Step-by-step explanation:
The Pythagorean theorem applies. The square of the hypotenuse is equal to the sum of the squares of the other two sides.
8² = x² + 6²
64 = x² +36
28 = x²
√28 = x ≈ 5.3
The missing measure is 5.3.
_____
Comment on the question
The triangle isn't marked, but we must assume it is a right triangle. If it is not a right triangle, we cannot find the missing measure.
Answer:
5.3 is the answer.Step-by-step explanation:
#CarryOnLearning4. Ann bought four pens and three exercise books for a total of sh 17 while peter bought five
similar pens and two exercise books for a total of sh.16 find the cost of a pen and an exercise
book.
Answers
5X+2Y=16
Times 5=20X+15Y=85
Times 4=20X+8Y=64
7Y=21
Y=3,X=2
Answer:
pen = 2 book = 3
Step-by-step explanation:
p= pens
b=books
4p +3b =17
5p+2b=16
Multiply the first by 5
Multiply the second by -4
Add both (p variable will ce cancelled)
20p +15b = 85
-20p -8b = -64
7b = 21
b=3 (book =3)
Lets plug this in one of the equations
4p + 3x3 = 17
4p +9 0 19
4p = 8
p= 2 (pencil = 2)
Solve the equation for Y
Answers
Answer:
y = 2
Step-by-step explanation:
-2y + 1 = y-5
-2 - y = -5 - 1
-3y = -6
y = -6 ÷ -3
y = 2
The equation for the speed/distance
of a tornado is s = 93 log(d) + 65.
If the speed is 190 mph, what is the distance?
Answers
Step-by-step explanation:
S = 93 log (d) + 65; S = wind speed; d = distance traveled by tornado
A) tornado travels 130 miles = d; find S
S = 93 log10(130) + 65
S = 261.6 mph rounds up to 262 mph
Answer:
22 milesStep-by-step explanation:
s = 93 log(d) + 65 and s = 19093 log(d) + 65 = 19093 log(d) = 125log (d) = 125/93log (d) = 1.344 (rounded)d = 10^1.344d = 22 miles (rounded)Which expression shows the product of the sum 3 and h and 8?
3 + h + 8
8(3 + 8 )x 3
(H + 8 )x 3
3 x h x 8
Answers
Answer:
I'm sorry I am not trying to steal your points but do you mean the product of the sum of 3? Because a letter can't be a sum unless it equals to a number
–6x − 8y = –14
y = –2
Answers
Answer:
x = 5
Step-by-step explanation:
If you input the y-value into the equation you get x = 5.
-6x-8(-2) = -14
-6x+16 = -14
-6x+16-16 = -14-16
-6x = -30
(-6x)/-6 = (-30)/-6
x = 5
CAN SOMEONE HELP ME PLS ASAP
Answers
B
Explanation:
10x1=10
(not sure haven’t done this in a very long time)
Solve For x Help pleaassee
Answers
Answer:
x=4
Step-by-step explanation:
C+E=180
14x-8+132=180
14x=180-132+8
14x=56
x=4
Answer:
10°
Step-by-step explanation:
132° = (14x - 8)°
140° = 14x
× = 10°
x=5 so what is (x+3)² =
Answers
(3+x)²
(5+3)²=
8²=
64
.
.
.
.
Answer:
64
Step-by-step explanation:
Since x=5
(5+3)^2
(8)^2= 64
If you spin a 4-color spinner 3 times,
how many different outcomes could you have for the 3 spins?
Answers
Answer:
12 outcomes for 3 spins
Step-by-step explanation:
4×3=12
Please help as soon as someone can, I need help on these questions.
Answers
Answer:
BELOW ↓Step-by-step explanation:
1.Given Information :
Distance (d) = 1/4 miles
Time (t) = 36 seconds
Speed = ?
[tex]Speed = \frac{Distance (d)}{Time (t)}\\\\Speed= \frac{\frac{1}{4} mile }{36 seconds} \\\\Speed =\frac{1}{44}m/hr[/tex]
2.The unit rates are equal
Twenty-four pairs of adult brothers and sisters were sampled at random from a population. The difference in heights,
recorded in inches (brother's height minus sister's height), was calculated for each pair. The 95% confidence interval
for the mean difference in heights for all brother-and-sister pairs in this population was (-0.76, 4.34). What was the
sample mean difference from these 24 pairs of siblings?
O-076 inches
O O inches
O 179 inches
O 4.34 inches
Answers
Answer:
C) 1.79
Step-by-step explanation:
Just got it right on edge 2022
5x - y = -7
X + y = -5
Answers
Answer:
x = -2
y = -3
Step-by-step explanation:
5x - y = -7
x + y = -5
6x = -12
x = -2
x + y = -5
-2 + y = -5
y = -5 + 2
y = -3
Answer:
(-2,-3)
Step-by-step explanation:
x + y = -5
y = -x - 5
5x - (-x - 5) = -7
5x + x + 5 = -7
6x = -12
x = -2
x + y = -5
-2 + y = -5
y = -3
Find the volume of the composite solid.
Answers
Here's the solution,
the volume of the given figure is :
=》
[tex]volume \: \: of \: \: (pyramid \: + rectangular \: \: prism)[/tex]
volume of pyramid :
=》
[tex] \dfrac{l \times b \times h}{3} [/tex]
=》
[tex] \dfrac{4 \times 5 \times 6}{3} [/tex]
=》
[tex] \dfrac{120}{3} [/tex]
=》
[tex]40[/tex]
volume of pyramid = 40 cm³
now, volume of rectangular prism :
=》
[tex]l \times b \times h[/tex]
=》
[tex]4 \times 5 \times 2[/tex]
=》
[tex]40[/tex]
volume of rectangular prism = 40 cm³
volume of composite figure = 40 + 40
=》80 cm³
The volume of the composite solid will be 80 cubic cm.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
Let the prism with a length of L, a width of W, and a height of H. Then the volume of the prism is given as
V = L x W x H
The volume of the Pyramid will be given as,
V = (1/3) × Base area × height
Then the volume of the geometry will be
V = L x W x H + (1/3) x Base area x height
V = 5 x 4 x 2 + (1/3) x 4 x 5 x 6
V = 40 + 40
V = 80 cubic cm
Thus, the volume of the composite solid will be 80 cubic cm.
More about the geometry link is given below.
https://brainly.com/question/7558603
#SPJ2
Find the volume of the sphere.
Either enter an exact answer in terms of a or use 3.14 for
a and round your final answer to the nearest hundredth.
With the radius of 4.
Answers
Answer:
268.08
Step-by-step explanation:
V = [tex]\frac{4}{3}[/tex] π r³
Need help with this question as well thank you ppl
Answers
Answer:
42 .. isn't that the answer to everything? :P
Step-by-step explanation:
Choose the correct value for x.
multiple choice.
Answers
REPOST!!!!!!! 15 POINTS!!!!!!!
4. if m<AOB = 45° in circle O, what is m<ABC yeah, and I need help with
Answers
Answer:
m<ACB=1/2 of m<AOB
so m<ACB=45⁰÷2
m<ACB=22.5⁰
I HOPE IT HELPS HAVE NICE DAY!
Answer:
m<ACB=22.5° [as inscribed angle is half to the central angle]
answer for 30 points and brainilest
the answer choices are
24.81 , $26.48 , 3.83 , 0.62 , $7.61 , $7.60 , $60.48 , $60.47 , 3.85 , 24.79 , $7.75 , 0.61 , $26.47 , 0.66 , 8.33 , $0.95
Answers
Answer:
6.4, 17.2, 3.8, 0.5, 6.7, 37.3, 4.9, 0.1, 12.8, 5.0
Step-by-step explanation:
Batteries cost $3.65 / pack. How many packs did Mark buy if he spent $36.50?
Answers
Answer: 10 packs
Step-by-step explanation:
36.50/3.65=10
please help me ive gotten 2 wrong pelase help me please
Answers
PLEASE HELP! I AM BEHIND ON SCHOOL WORK AND I NEED THIS! PLEASE SHOW WORK!
Answers
please help with this question?!
Answers
Answer:
120 yd²
Step-by-step explanation:
The solid has 5 faces.
Bottom: rectangle 6 yd by 3 yd
Left: rectangle 8 yd by 3 yd
Right: rectangle 10 yd by 3 yd
Front & Back: 2 triangles 6 yd base and 8 yd height
area = 6 * 3 + 8 * 3 + 10 * 3 + 6 * 8
area = 72 + 48
area = 120
Answer: 120 yd²
The sum of a number and 2.
Answers
Answer:
whats the question
Step-by-step explanation:
The number of students treated per month has been recorded for the last 60 months. Which between 100 and 200 students were treated
Answers
Answer:
Step-by-step explanation:
Here is the complete question
The number of students treated per month has been recorded for the last 60 months. Which type of graph would allow us to quickly see how many months between 100 and 200 students were treated
A) box plot
B)dot plot
C)historgram
An histogram is a bar-like graph used to represent numerical data. On the x-axis the range of data being described is given and on the y-axis, the frequency is provided.
The x-axis would show the range of 100 - 200 that were treated
a box plot displays numerical data using their quartiles
A dot plot is display of data using dots
A painter needs to buy a ladder in order to paint a wall that is 18 feet high. In order to ensure the ladder does not fall it needs to be placed 3 feet away from the wall. What size ladder does the painter need to buy to ensure that he will be able to paint the highest point of the wall? Write your answer rounded to the ncarest tenth.
Answers
Answer:
222! thats your answer!
Step-by-step explanation:
A group of children bought 3 presents that cost $W each and a card that cost $200. The children shared the total cost equally. Express the amount of money each student paid in terms of W
Answers
Answer:
Amount of money paid by each student is equal to [tex]\$3W+\$200[/tex]
Step-by-step explanation:
Given: A group of children bought [tex]3[/tex] presents that cost [tex]\$W[/tex] each and a card that cost [tex]\$200[/tex].
To find: amount of money each student paid in terms of [tex]W[/tex]
Solution:
Cost of each present [tex]=\$W[/tex]
Cost of [tex]3[/tex] presents [tex]=\$3W[/tex]
Cost of a card [tex]=\$200[/tex]
Therefore,
Amount of money paid by each student in terms of [tex]W[/tex] = Cost of [tex]3[/tex] presents + Cost of a card
[tex]=\$3W+\$200[/tex]
James needs to fill in three blanks with letters. Find the number of ways he can fill them in if:
a. the letters can be repeated
b. the letters cannot be repeated
Answers
Answer:
A. The letters can be repeated
Step-by-step explanation:
Hope it helps
#CarryOnLearning
Write an expression for 213 increased by d.
Answers
Write an expression for 213 increased by d: [tex]213+d=x[/tex]
Which two lines are parallel? (Reading the lines from left to right, identify them as left, middle, or right) What is the slope for the parallel lines? Coordinates: Left (-3,1), (0,3); Middle (-5,-3), (1,1); Right (-1,-3), (3,0) The 1) and 2) lines are parallel. 3) The slope is .
Answers
Answer:
The 1) and 2) lines are parallel.
Step-by-step explanation: