Answers
Answer:
x=30º
∠CAB=60°
∠ACB=80°
Step-by-step explanation:
Because the angles of every triangle add up to 180º, we know that:
[tex]2x+20+2x=180-40\\ 4x=180-40-20\\ 4x=180-60\\ 4x=120\\ x=\frac{120}{4}[/tex]
x=30º
Plug that in for x on both angles, and you will get
∠CAB=60°
∠ACB=80°
Related Questions
What is the area of this figure? Enter your answer in the box.
Answers
Answer:
58.5
Step-by-step explanation:
3x11=33
3x3=9
3x11/2=16.5
16.5+9=25.5
25.5+33=58.5
HELP ASAP!!!!! BRAINLIEST AWARD!!!!!!
Choose one of the theorems about chords of a circle and state it using your own words.
Create a problem about chords that uses the theorem that you explained. Solve the problem.
examples below:
Answers
1.The Chord Intersection Theorem:
If 2 chords of a circle are AB and CD and they intersect at E, then
AE * EB = CE * ED.
Problem.
Two Chords AB and CD intersect at E. If AE = 2cm , EB = 4 and CE = 2.5 cm, find the length of ED.
By the above theorem : 2 * 4 = 2.5 * ED
ED = (2 * 4) / 2.5
= 3.2 cm.
2.1. A given chord on a circle is perpendicular to a radius through its center, and it is at a distance less that the radius of the circle.
2. A circle of center O has a radius of 13 units. If a chord AB of 10 units is drawn at a distance, d, to the center of the circle, determine the value of d.
3. From question 2, the radius = 13 units, length of chord = 10 units and distance of chord to center of the circle is d.
A radius that meet the chord at center C, and divides it into two equal parts.
So that;
AC = CB = 5 units
Applying Pythagoras theorem to ΔOCB,
OC = d, CB = 5 units and OB = 13 units
= +
169 = 25 +
169 - 25 =
144 =
⇒ d =
= 12 units
Therefore, the chord is at a distance of 12 units to the center of the circle
A square ceiling has a diagonal of 24 ft. Shelton wants to put molding around the perimeter of the ceiling.
How many feet of molding will he need?
Round to the nearest foot.
Answers
Answer:
16.97 feet
Step-by-step explanation:
a^2=b^2+c^2
24^2=576
b and c are equal divide 576 by 2 to get 288 square root of 288=16.97 feet
Substitution.
-3x - 2y = -12
y = 5x - 7
Answers
Answer:
-3x-2(5x-7)=-12
-3x-10x+14=-12
-13x+14=-12
-13x=-16
x=2
Please Help ASAP 20pts
A triangle has an area of 40 cm². The base and height are scaled by a factor of 4. The area of the resulting triangle is ___ square cm.
Answers
Answer:
640 cm ^2
Step-by-step explanation:
40x4x4 = 640
let's say b = 20 and h = 4
1/2(20)(4) = 40
scale by 4
b= 80 h = 16
1/2(80)(16) = 640
At which value in the domain does f(x) = 0?
Ty
10
8+
6
4
2
-1
3
-10
--3
Answers
How many dimes and quarters?
what would the system look like?
picture is linked!!!
Answers
Answer:
I think it is twenty-three dimes and one quarter
Answer:
7 quarters and 8 dimes
Step-by-step explanation:
If you count up the amount of money that 7 quarters is, then they are equal to $1.75. Next you would add 10 to that amount until you got to $2.55, and you would end up with 8 dimes. And 8 + 7 = 15.
For witch of the following inequalities shown below is x=2 solution? Select all that apply.
Answers
Answer:
z=x so x=all answer ALL
Step-by-step explanation:
16 cars are parked if 1/4 of them are blue how many cars are blue
Answers
Answer: 4
Step-by-step explanation:
Answer:4
Step-by-step explanation: for example, you have 1/4 if you double that you get 2/8, triple it would be 3/12, next would be 4/16
need help I will give brainiest
Answers
Answer: 97
Step-by-step explanation:
10+3+3+33+33+15
Please help if you know the answer please
Answers
Answer:
1 3/7 or 10/7
Step-by-step explanation:
2 is also known as 14/7. 14/7 - 4/7 is equal to 10/7 or 1 3/7.
At a car dealership yesterday, the ratio of trucks sold to cars sold was 5.6. If the dealership sold 30 cars, how many trucks were sold?
Answers
Answer:
25
Step-by-step explanation:
ratio 5:6
[tex]\frac{5}{6} = \frac{x}{30}[/tex]
6x = 5(30)
6x = 150
x = 25
y
3
2
1
-4
-3 -2
-1
1
2
2
3
4
-1+
-2+
-3+
-4
What is the slope of the line?
Answers
Answer:
1/2
Step-by-step explanation:
y = mx + b is slope intercept form.
b = y intercept. where the line first passes through on the y axis
that number is 3.
y = mx + 3.
to find M (slope) you have to do RISE / RUN.
Run is going left or right from a point
Rise is going up or down from a point.
To make sure you find the slope, when you Rise and Run, it has to hit another point on the graph.
From the y - intercept 3, RISE (go up) 1 and RUN (go left) 2.
So, the slope is 1/2.
Jordan bought StartFraction 9 Over 16 EndFraction of a pound of sunflower seeds and divided them evenly into 9 snack bags for his lunch. What is the weight of sunflower seeds in each snack bag?
StartFraction 1 Over 16 EndFraction of a pound
StartFraction 1 Over 9 EndFraction of a pound
StartFraction 16 Over 81 EndFraction of a pound
StartFraction 81 Over 16 EndFraction pounds
Answers
Answer:
StartFraction 1 Over 16 EndFraction of a pound
Step-by-step explanation:
Total pounds of sunflower seeds Jordan bought = 9/16 of a pound
Number of snack bags for his lunch = 9
What is the weight of sunflower seeds in each snack bag?
Weight of sunflower seeds in each snack bag = Total pounds of sunflower seeds Jordan bought / Number of snack bags for his lunch
= 9/16 ÷ 9
= 9/16 × 1/9
= (9*1) / (16*9)
= 9 / 144
= 1/16
Weight of sunflower seeds in each snack bag = 1/16 of a pound
Answer:
1/16 of a pound aka A is the correct answer.
Step-by-step explanation:
Joe, Marty, and Sally all decide to buy a new car for $15,000. Each one decides to pay for their car in a different way. Compare each of their stories and decide who you think made the best decision when they bought their car.
Joe decided he wanted to pay cash for his car, so he saves $1,000 per month until he has enough money in the bank to buy the car. How long will it be before Joe can buy his car?
Answers
Answer: 15 months
Step-by-step explanation: bc if you multiply 15 times the amount he is saving a month which is $1,000. you multiply them two together and get 15,000. (sorry if i over explained it)
A right triangle is shown below.
Х
4
8.5
What is the value of x? Enter your value as a decimal rounded to the nearest tenth,
Answers
Step-by-step explanation:
Use the Pythagorean Theorem ( [tex]a^{2}+b^{2} =c^{2}[/tex] )
The longest side is c = the hypotenuse, and a and b = the other sides of the triangle.
a = 4 First: [tex]4^{2}+x^{2}=8.5^{2}[/tex]
b = x Second: [tex]16+x^{2}=72.25[/tex]
c = 8.5 Third: [tex]x^{2}=56.25[/tex]
Fourth: [tex]x=\sqrt{56.25}[/tex]
Fifth: x = 7.5
During his NBA career, Larry Bird made approximately 89% of all free throws. Suppose Larry
makes 10 free throws in a row. Assuming each free throw is independent, what is the
probability he will make the next free throw?
(a) 0.11
(b) 0.50
(c) 0.01
(d) 0.89
Answers
Answer:
0.89
Step-by-step explanation:
The probability of Larry making the next free throw is, 0.89
What is mean by Probability?The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one
Now, we can assume that Larry Bird has a 89% chance of making any given free throw.
Since, each free throw is an independent event, the fact that he made 10 free throws in a row does not affect the probability of him making the next free throw.
Therefore, the probability of Larry making the next free throw is also 89%.
Thus, the probability of Larry making the next free throw is, 0.89
Learn more about the probability visit:
https://brainly.com/question/13604758
#SPJ2
Helppppppp I’ll give you 10 pointssss plzzz
Answers
$113.40
explanation:
TV = $180
40% = 40/100 = .4
$180 * .4 = $72
$180 - $72 = $108 is the sales price.
Sales tax
5% = 5/100 = .05
$108 * .05 = $5.40
$108 + $5.40 = $113.40
The TV costs $113.40 including tax, after the discount.
The graph of f(x) = -2^2 was transformed to create g(x) = -(x+3)^2. Which of these describes the transformation from the graph of f to the graph of g
Answers
Evaluate the following: 18 + 3 |6 - 25| - 11
Answers
Answer:
29
Step-by-step explanation:
18+3|6-25|-11
21+19-11
29
How do you do 3++3 because i need help with this. I am learning this and are confused
Answers
Remove the brackets using the distributive law for the following: 2(x + 3)
Answers
Answer:
2x + 6
Step-by-step explanation:
= 2(x + 3)
= 2(x) + 2(3)
= 2x + 6
Find the total surface.
A)75.4
B)100.5
C)88
D)44
Answers
The Answer would be C) 88
Please help math experts thank you
Answers
Answer:
.33333 or rounded .33
Step-by-step explanation:
There are 4 months that end in an r
This means that 1 third of the months end in r or .33
Find the roots: x^2−12x+32=0.
Enter your answers in the boxes (numbers only).
Answers
The answers are 4 and 8.
Because:
x^2 - 12x + 32 =
(x - 4)(x - 8)
x - 4 = 0
+4 +4
x = 4
x - 8 = 0
+8 +8
x = 8
Choose the correct simplification of the expression (a^2 multiplied by b^5)^3
A^6/b^15
A^5/b^8
A/b^15
A^6/b^11
Answers
Answer:
1
Step-by-step explanation:
the first one because if you take the expression that you want, and expanding it out, you will get the first one.
Answer:
A
Step-by-step explanation:
(a^2)^3 (b^5)^3
The powers multiply when written like this. They don't add.
a^6 b^15
A
Write an exponential function in the form y = ab^x that goes through points (0,5)
and (4,6480).
Answers
Answer:y=5(6)^x
Step-by-step explanation:
f(x)= 3x - 5x + 2x – 3
Answers
Write the word sentence as an inequality The quotient of a number y and -3.6 is less than 6.5.
Answers
Answer:
the quotient of a number y and negative three point six is less than six point five.
use the graph to answer these questions. what is the slope and y-intercept?
Answers
slope: -1/4
y-int: -1
y=(-1/4)x-1