Answer:
[tex] m\angle A = 133\degree [/tex]
Step-by-step explanation:
Quadrilateral ABCD is inscribed In a circle.
So, ABCD is a cyclic Quadrilateral.
Opposite angles of a cyclic quadrilateral are supplementary.
Therefore,
(4x + 5)° + (x + 15)° = 180°
(4x + 5 + x + 15)° = 180°
(5x + 20)° = 180°
5x + 20 = 180
5x = 180 - 20
5x = 160
x = 160/5
x = 32
[tex] m\angle A = (4x + 5)\degree [/tex]
[tex] m\angle A = (4\times 32+ 5)\degree [/tex]
[tex] m\angle A = (128+ 5)\degree [/tex]
[tex] m\angle A = 133\degree [/tex]
Triangle 1 has vertices at (A,B), (C,D), and (E,F). Triangle 2 has vertices at (A+1,B+3), (C+1,D+3), and (E+1,F+3). What can you conclude about triangle 2?
Given:
Triangle 1 has vertices at (A,B), (C,D), and (E,F).
Triangle 2 has vertices at (A+1,B+3), (C+1,D+3), and (E+1,F+3).
To find:
The conclusion about the triangle 2.
Solution:
From the given information it is clear that the x-coordinates of the vertices of triangle 2 are 1 more than the x-coordinates of the vertices of triangle 1.
Similarly, the y-coordinates of the vertices of triangle 2 are 3 more than the y-coordinates of the vertices of triangle 1.
So, the rule of translation is:
[tex](x,y)\to (x+1,y+3)[/tex]
It means the triangle 1 is shifted 1 unit right and 3 units up to get the triangle 2.
Therefore, triangle 2 is congruent to triangle 1 and triangle 2 is the translation of triangle 1 by 1 unit right and 3 units up.
what multiple of 9 is a factor of 9
Answer:
9
Step-by-step explanation:
Answer:
( 1 ), ( 3 ), ( 9 )
Step-by-step explanation:
Every time you add one to a digit (which is the same as adding 10, 100, 1000, etc) you get a number that is one more than a multiple of 9, so you have to subtract one from the number, which brings the sum of the digits back to 9.
You buy a car for $25000. It lose 14% of its value every year. Sally wrote a function that represents the value of the car after t years. V(t)=25000(1.14)t Describe and correct the error
Answer:
Correct answer
V(t) = 25000(0.86) t
Step-by-step explanation:
You wont turn 14% into a multiplier (1.14 - multiplier) becuase the value decreases not increases so you do 100% - 14% to get 86% and divide by 100 to get 0.86...that's the value that goes in the brackets
Which graph represents y as a function of x?
Answer:
A is the only function because it passes the vertical line test. 1 x may only have 1 y
Step-by-step explanation:
A
∠A and
∠
B
∠B are vertical angles. If m
∠
A
=
(
5
x
−
24
)
∘
∠A=(5x−24)
∘
and m
∠
B
=
(
3
x
+
24
)
∘
∠B=(3x+24)
∘
, then find the value of x.
Answer:
24 degrees
Step-by-step explanation:
8.)
1 point
Does (0,7) make the equation y = 3x + -7 true?
Answer:
YES
Step-by-step explanation:
The 7 in (0,7) is the y-intercept given in the equation y = 3x + 7
A store has a sale for 25% off. You want a sweater that usually cost $30. How much money will you spend on the sweater?
Answer:
you will spend $22.50 on the sweater
Step-by-step explanation:
just multiply 30 by 0.25 and subtract the product from the original value
30 * 0.25= 7.50
30-7.50= 22.50
Suppose Rachel creates 1.5 pounds of trash each week. How many kilograms of trash is that? Choose the closest answer.
Answer:
.68
Step-by-step explanation:
2. If the hovercraft is traveling in a straight line at a constant speed of 8 m/s for 4 seconds, what is it's
acceleration?
Answer:
Step-by-step explanation:
a= v/t, where v is the speed and t is the time
a=8/4= 2 m/s^2
Two rectangles are similar. If the helght of the first rectangle is 3 Inches, and the helght of the second rectangle is 9 Inches, how much larger is the second rectangle's area?
1. They have the same area
2. 9 times as large
3. 3 times as large
4. 6 times as large
Answer:
3
Step-by-step explanation:
Write how you would explain the following problem using the order of operations to a 5th grader?
2 + (9-6) x 5 / 3
(PLS make a big paragraph thanks)
Answer:
PEMDAS
Step-by-step explanation:
Use PEMDAS. Parenthesis, Exponents, Multiplication/Division, Addition/Subtraction.
Start with your parenthesis, which is (9-6). This comes out to 3. Your equation should now look like 2+(3)x5/3
Then, go to your exponents. Since we don't have any, we skip this step.
Now, we look from left to right for any multiplication symbols or division symbols. Finding (3)x5, this comes out to 15. Now rewrite your equation, if should look like this: 2+15/3.
Repeat the last step and find your division symbol, and find this 15/3. That comes out to 5.
The last step is finding addition or subtraction symbols, and since there's only two numbers left we can just solve the problem from here.
2+5=7.
Simplify ech answer into a fraction, Show all work please!
Answer:
the first one is -9/40. the second one is 109/20. the third one is -8/35.
Step-by-step explanation:
here is the work for the first one 3/8-.6 and convert into a simplified fraction and came up with -9/40. here is the work for the second one 4 4/3+0.7 and then convert into a simplified fraction and came up with 109/20. here is the work for the third one 4/7-0.8 and then convert into a simplified fraction and came up with -8/35.
an 18 ounce box of cereal costs $3.60 what is the unit price
Answer:
$5.00 per ounce
Step-by-step explanation:
18/3.6
5
IM GIVING BRAINLIEST!!!PLEASE HELP!!:)I PROMISE!!!
1.) If ABCD is a parallelogram, which statement is true?
(1) AC = BD
(2) AD=BC
(3) ZA and ZC are supplementary
(4) ZA ZD
Answer:
think its two cuz i found a shape that matches ur questions
What is the solution to the equation?
Answer:
Step-by-step explanation:
[tex]\sqrt[3]{x+4}+\sqrt[3]{2x +8}=0\\\\\sqrt[3]{x+4}= -\sqrt[3]{2x + 8}\\\\(x +4)^{\frac{1}{3}}=-(2x+8)^{\frac{1}{3}}\\\\[/tex]
Take cube,
[tex][(x+4)^{\frac{1}{3}}]^{3} =- [(2x +8)^{\frac{1}{3}}^{3}]\\\\(x+4)^{3*\frac{1}{3}}=-(2x + 8)^{3*\frac{1}{3}}\\\\[/tex]
x + 4 = - (2x + 8)
x +4 = 2x *(-1) + 8 *(-1)
x+ 4 = -2x - 8
x +2x+4 = - 8
3x + 4 = - 8
3x = - 8 -4
3x = -12
x = -12/3
x = -4
Simplify the expression.
4x^2 + 10x - 6
———————
2x-1
-X+ 5
X+3
2(x + 3)
2x-6
What statement about the volume of the cylinder and cone is true ?
Answer:c
Step-by-step explanation:
1⁄4 + 4⁄8 + 4⁄6 = ???
☁️ Answer ☁️
Exact form:
17/12
Decimal:
1.416
mixed:
1 5/12
Hope it helps.
Have a nice day hyung/noona  ̄▽ ̄
2
Help what is the product of 46x10
Answer:
460
Step-by-step explanation:
Answer:
460
Step-by-step explanation:
does 13, 12, 6 form a pythagorean triple?
Answer:
No
Step-by-step explanation:
the pythagorean theorem is
a^2+b^2=c^2
These numbers do not fit in these terms
Answer:
It doesn't.
Step-by-step explanation:
In order for something to be a {ythagorean triple, it must comply with the Pythagorean theorem, which is a² + b² = c²
Always remember, when plugging in the values into that equation, the exponent of two means to square the number, and a and b have to be the two smallest values (in this case, 6 and 12)
6² = 36
12² = 144
36 + 144 = 180
Now, we have to find if ti equals c². 13² equals 169
Therefore, 180 ≠ 169, therefore it IS NOT a Pythagorean triple.
Can someone check my answers to see if they are correct please? They are on the 2nd page. Thank you!
Answer:
Yes, all your answers are correct.
They are correctly matched with their reasons.
What steps do you need to take to solve the equation 7x+6= 18?
*x
Choose the correct answer below.
A. Subtract 6. Then, multiply by 2.
B. Add 6. Then, multiply by 2.
C. Subtract 6. Then, divide by 2.
D. Add 6. Then, divide by 2.
find the value of angel 0 to the nearest 10th
Answer: 36.9
Step-by-step explanation:
For this question you have to find out whether you are using Sin, Cos or Tan.
To work out which one you are using you can use SOH CAH TOA to help you.
SOH- The 'S' is for Sin, the 'O' and the 'H' is for Opposite over Hypotenuse.
CAH- The 'C' is for Cos and the 'A' and the 'H' is for Adjacent over Hypotenuse.
TOA- The 'T' is for Tan, the 'O' and the 'A is for Opposite over Adjacent.
As you have the Opposite (the side opposite the angle we're looking for) and the Adjacent (the side next to the angle were looking for) we would be using Tan.
So first you would have to write:
Tanθ=3/4
Then because we want Theta (θ) on it's own we would have to do the inverse to 'undo' the equation. Tan-1 is the inverse of Tan.
θ=Tan-1 3/4
To find the answer you would have to put it in your calculator.
θ=36.9
Hope this helps :)
PLEASE HELP I WILL GIVE BRAINLIEST
Answer:
Step-by-step explanation:
|14-(6-x)| = |14-6+x| = |8+x|
|8+x| = 8+x if x > -8
|8+x| = -x-8 if x < -8
|8+x| = 0 if x= -8
Thirty-two is the product of nine and a number decreased by four
Answer:
32 = 9n - 4Step-by-step explanation:
Thirty-two is = 32 =
The product of nine times a number = 9n
Decreased by four = - 4
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~`
Good luck.
Leme know if wrong.
Lb.
A triangular garden has angles of 80, 50, and 50. If the longest side is 40 feet, what is the length of the remaining sides?
Answer:
the other two sides are 31.11 feet and 31.11 feet
Step-by-step explanation:
since two angles are 50°, the triangle is isosceles with the other two sides being equal in length.
A right triangle is formed by a line from its peak down & perpendicular to
the 40 foot side. It's hypotenuse is the unknown (x) and it's base is 40/2 = 20 feet.
cos 50 = 20/x
0.6428 = 20/x
x = 31.11 feet
please help marking u Brainiest if answered
Help a person out would ya...no links
Answer:
72.25
Step-by-step explanation:
12.5 x 8.5 = 106.25
5 x 6.75 = 33.75
106.25- 33.75 = 72.25
Answer: H
Step-by-step explanation:
You're tryna find the area of the wall
Which is the whole surface area minus the door's area
Whole surface area = 8.5 x 12.5 = 106.25
Door area = 5 x 6.75 = 33.75
106.25-33.75 = 72.5 ft^2
ALSO REMEMBER ITS FEET SQUARED
Units are very important just to let you know especially in physics
If you don't get the units to be same then its going to be one heck of a problem
okay no more ranting hope u like my answer
A cast member is selling balloons on Main Street. He has 8
princess balloons, 5 blue Mickey balloons, and 7 red Mickey
balloons. He sells one balloon, and then another (no replacing).
Find the probability of selling one blue balloon followed by
another blue balloon and show the equation used.
Answer:
4/76 or simplified as 1/19
Step-by-step explanation:
5/20 is for the probability of the first balloon
4/19 is for the probability of the second balloon
5/20 can be simplified to 1/4 so 1/4 x 4/19 = 4/76
4/76 can also be simplified to 1/19