m∠A = (2x + 5)° and m∠B = (3x − 15)°.
Find the measure of each angle (in degrees) of ▱ABCD.
Answer:
Step-by-step explanation:
We have to assume that ABCD is a parallelogram. If it isn't, leave a note.
Secondly we have to assume that the angles are consecutive. In a parallelogram, consecutive angles are supplementary.
<A + <B = 180
2x + 5 + 3x - 15 = 180
5x - 10 = 180 Add 10 to both sides
5x = 190 Divide by 5
x = 190/5
x = 38
A = 2x + 5
A = 2*38 + 5
A = 81
B = 3x - 15
B = 3*38 - 15
B = 99
Cam someone help me out please
Answer:428.67
Step-by-step explanation:
πr (r+square root(h2+r2) plug in the numbers
escample: If 600 Students registered for mat 101,300 for Phy 101 while 173 students registered for both mat101 and phy 101 in 2021 first semester, How many Students registered the two course
I don't answer the grammar but if you asked how many kids in total (not counting duplicate people that signed up for both) then 1073 student registered for the courses
Help me to prove it
QUESTION:- PROVE THE IDENTITY
INDENTITY->
[tex] \frac{1}{1 - \cos(A) } + \frac{1}{1 +\cos(A) } = 2 \cosec^{2} (A) [/tex]
ANSWER:-
[tex] \frac{1}{1 - \cos(A) } + \frac{1}{1 +\cos(A) } \\ \\ \\ \frac{(1 + \cos(A)) + (1 - \cos(A))}{(1 - \cos(A))(1 - \cos(A))} \\ \\\\ \frac{2}{ {1}^{2} - \cos^{2} (A) } = \frac{2}{ \sin^{2} (A) } \\\\\\ 2 \cosec^{2} (A) = 2 \cosec^{2} (A) \\ \\ \\ LHS=RHS \\ \\ HENCE \: \: \: PROVED[/tex]
Step-by-step explanation:
1.cross multiply
2.solve the numerator and
multiply the denominator
3.the denominator comes in the formula
4.convert it and your answer is there
SOMEONE PLEAS HELP ME OUTTTTT!!!
Answer:
31 degrees
Step-by-step explanation:
the side with the length of 29 can be seen as the radius of a circle.
and the sin value of an angle is the distance of a point on that circle from the x-axis. as the standard sin function is for the standard circle with radius 1, we need to multiply this by the actual radius.
15 = sin(?)×29
sin(?) = 15/29 = 0.5172...
? = 31.14... degrees ≈ 31 degrees
What is the simplified form of the complex fraction? 2x2+7x+6x2+x−64x2−9x2−5x+6
Answer:
3x - 124
Step-by-step explanation:
kindly find solutions in the picture above
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The simplified form of the complex expression 2x² + 7x + 6x² + x - 64x² - 9x² - 5x + 6 is
-65x² + 2x + 6
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
2x² + 7x + 6x² + x - 64x² - 9x² - 5x + 6
Combine all like terms.
(2x² + 6x² - 64x² - 9x²) + (7x - 5x) + 6
(8x² - 73x²) + 2x + 6
-65x² + 2x + 6
There are no common factors or like-terms to simplify.
So,
The simplified form is -65x² + 2x + 6
Thus,
The simplified form of the complex expression 2x² + 7x + 6x² + x - 64x² - 9x² - 5x + 6 is
-65x² + 2x + 6
Learn more about expressions here:
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which parent function is represented by the graph?
Answer:
y=x
Step-by-step explanation:
9z and 9x are like terms ?
O A. True
O B. False
A bag contains 7 red cubes, 3 yellow cubes, 2 green cubes, and 4 blue cubes. One cube is selected at
random from the bag. What is the probability that the selected cube will NOT be blue?
1/4
5/8
3/4
7/8
Answer:
3/4
Step-by-step explanation:
7 + 3 + 2 + 4 = 16
4 blue cubes = 4/16
16 - 4 = 12
12/16 = 6/8 = 3/4
The probability that the selected cube will not be blue is 3/4.
How to calculate probability?Total number of cubes: 7+3+2+4=16
Number of cubes that are not blue: 12
Probability: Desired outcomes/ Total outcomes
=12/16
=3/4
Therefore, the probability of not selecting blue cube is 75%(or 3/4).
To know more about probability refer:
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In the diagram, the ratios of two pairs of corresponding sides are equal.
Triangles L M N and X Y Z are shown. Side L M is blank, side M N is 3, and side N L is 2. Side X Y is blank, side Y Z is 9, and side Z X is 6.
To prove that △LMN ~ △XYZ by the SAS similarity theorem, it also needs to be shown that
∠N ≅ ∠Z
∠N ≅ ∠X
∠L ≅ ∠Z
∠L ≅ ∠Y
Answer:
∠N ≅ ∠Z
Step-by-step explanation:
In the Side-Angle-Side (SAS) similarity theorem, the included angle of the two given sides of a triangle is also given. This theorem relates two legs of a triangle with the angle formed by the legs.
Comparing the sides of △LMN and △XYZ, it would be observed that the corresponding sides of △XYZ has a scale of 3. So to prove that △LMN ~ △XYZ by the SAS similarity theorem, it would be required to also show that ∠N ≅ ∠Z.
Answer:
A) ∠N ≅ ∠Z
Step-by-step explanation:
what are the steps in solving
12x+4=20x+24
Answer:
x = -5/2
Step-by-step explanation:
12x+4=20x+24
-8x + 4 = 24
-8x = 20
x = -5/2
PLEASE HELP! I WILL GIVE YOU BRAINLIEST!
Answer:
sry, i am doing this for points
What is the area of this triangle
Answer:
17.5 units
Step-by-step explanation:
im not good at explaining sorry
Which of the following quadrilaterals must be a parallelogram according to the minimum requirements?
The minimum requirements needed to be a parallelogram is found in Option A quadrilateral, thus Option A is our correct answer.
There are four quadrilaterals given in the option.
We need to check which quadrilateral has the minimum requirements.
What is the minimum requirement to construct a parallelogram?The construct a Parallelogram we need:
- The measure of any two non-parallel sides.
- The measure of an angle.
In a Parallelogram, opposite sides are equal and parallel and the opposite angles are equal.
Checking the options given.
Option A:
- Two parallel and equal sides.
- Equal opposite angles.
It meets the minimum requirement to be a parallelogram.
Option B:
The quadrilateral has only two parallel and equal sides.
It does not meet the minimum requirements to be a parallelogram.
Option C:
The quadrilateral has only one parallel and equal side.
It does not meet the minimum requirements to be a parallelogram.
Option D:
It has no parallel and equal sides.
It has equal opposite angles and diagonal bisecting.
But it does not meet the minimum requirements to be a parallelogram.
We see that the minimum requirements needed to be a parallelogram is found in option A,
Hence Option A is our correct answer.
Learn more about parallelogram here:
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Mrs.Click has a strawberry patch in her garden. It's border is 4/5 meters wide and 3/2 meters long. What is the area of Mrs.Clicks Garden?
Answer
Mrs. Click's Garden is 6/5 or 1 1/5 square meters.
Explanation
Mrs. Click's has a rectangular garden. To find the area of a rectangle, you multiply the width by the length. To find the area of Mrs. Click's Garden, you multiply 4/5 by 3/2.
To multiply fractions, you multiply the numerator by the denominator.
4×3 is 12 and 5×2 is 10. You get the fraction 12/10, which can be simplified to 6/5, or 1 1/5.
Write the number one thousand and four in figures
Answer:
1004 is the correct awnser
Step-by-step explanation:
pls give me brainliest
Answer:
1004
Step-by-step explanation:
one thousand = 1000
four = 4
1000+4 =1004
247 divided by 7
[tex]247 \div 7[/tex]
Answer:
35
hope it help
...
....
.....
......
.......
Step-by-step explanation:
[tex]247 \div 7 \\ = 37[/tex]
calculate the value of 120 is increased by 120%
Answer:
144
Step-by-step explanation:
currect answer for simple question
Answer:
264
Step-by-step explanation:
First find the amount of increase
120 * 120%
120 * 1.2
144
Add this to 120
120 +144
264
Please help ASAP!!
What is the value of x?
Answer:
45°
Step-by-step explanation:
80 + 55=135
Every type of triangle has 180 degrees.
180-135=45 degrees.
write the next 3 numbers in this pattern. Then describe the rule for this pattern in an nth expression.
11 , 101 , 1001 , 10001,…
Answer:
An=10^n + 1 is the expression for the nth term.
Next three terms:
100001
1000001
10000001
Step-by-step explanation:
The number ot 0's imcrease between the two 1's starting at no zeros, 1 zero, two zeros, and so on...
So the next terms are 100001, 1000001, 10000001 and that's without finding the formula.
Now let's find the formula:
A1=11=10+1
A2=101=100+1
A3=1001=1000+1
Notice we have increasing powers of 10 and then just adding 1.
A1=10^1 +1
A2=10^2 +1
A3=10^3 +1
....
An=10^n +1
Which inequality represents all the solutions of 10(3x + 2) > 7(2x − 4)?
A.
x > -4
B.
x < -4
C.
x > -3
D.
x < -3
find the simultaneous equation 2x+5+-4+4
Can you guys help me find ST on the left and WY on the right
Answer:
ST = 17 and WY = 32
Step-by-step explanation:
3
SV is a perpendicular bisector and divides Δ RST into 2 congruent triangles with
ST = SR , that is
7x - 4 = 3x + 8 ( subtract 3x from both sides )
4x - 4 = 8 ( add 4 to both sides )
4x = 12 ( divide both sides by 4 )
x = 3
Then
ST = 7x - 4 = 7(3) - 4 = 21 - 4 = 17
-------------------------------------------------------------------
4
Δ WXY and Δ WXZ are congruent ( both have 3 congruent angles ), then
WZ = WY , that is
9x - 13 = 6x + 2 ( subtract 6x from both sides )
3x - 13 = 2 ( add 13 to both sides )
3x = 15 ( divide both sides by 3 )
x = 5
Then
WY = 6x + 2 = 6(5) + 2 = 30 + 2 = 32
Using long division, what is the quotient of this expression?
X^4+4x^3-5x^2+x-3/x^2+x-3
Answer:
Using long division method the answer is B
Step-by-step explanation:
x²+3x-5+(15x-18)/x²+x-3
HELP ASAPPP !
select the correct answer from each drop-down menu.
Answer:
3.8; 4
Step-by-step explanation:
In this exercise, you're are required to find the missing values by performing some arithmetic calculations.
For the first part;
Let the missing value be X
Translating the word problem into an algebraic expression, we have;
[tex] X = 2000 * 1.9 * 10^{-6} [/tex]
[tex] X = 3.8 * 10^{-3} [/tex]
For the second part;
Let the missing value be Y.
[tex] 3.8 * 10^{-3} = Y * 9.5 * 10^{-4} [/tex]
[tex] X = \frac {3.8 * 10^{-3}}{9.5 * 10^{-4}} [/tex]
[tex] X = 4 [/tex]
Therefore, the complete sentence would be written as follows;
[tex] 3.8 * 10^{-3} [/tex] is 2000 times greater than [tex] 1.9 * 10^{-6} [/tex]. It is also 4 times greater than [tex] 9.5 * 10^{-4} [/tex]
A number is divided by 1/4.Write an expression for this situation.
Answer:
x ÷ 1/4
Step-by-step explanation:
Concepts:
An expression a mathematical sentence that has at least two numbers and a minimum of one math operation (addition, subtraction, etc.) in it. An expression cannot have an = sign in it.A variable is an unknown, numerical value in an equation, often represented by the letter x.Solving:
Let's translate the first part of the expression:
1. "A number"
Since we're unaware of the number in this expression, we can mark it as a variable, x.This means that, so far for our expression, we only have the variable, "x".2. "divided by 1/4"
When we're dividing, we use the ÷ symbol to represent that operation. Now, let's put the first part of our expression with the second one: "x ÷ 1/4"Therefore, the expression for this situation is x ÷ 1/4.
PLEASE HELP!!!PLEASE HELP!!!PLEASE HELP!!!PLEASE HELP!!!PLEASE HELP!!!
Answer:
The one at the bottom
Step-by-step explanation:
Plug in the value of x = 3 for every equation
I plugged the value of 3 into this equation:
2(3) +3y = 0
3 + 2y = -1
Let's start with the first line
6 + 3y = 0
-6 -6
3y = -6
3y/3 = -6/3
y = -2
Now let's solve the second line
3 +2y = -1
-3 -3
2y = -4
2y/2 = -4/2
y=-2
Since both equations have the solution y = -2, that means the system of equations is valid when the value of x is 3.
Which is true about the triangles pictured?
С
60
609
50
70
70°
50
B
D
The triangles are not congruent.
The triangles are congruent by Angle-Angle-Angle.
If AC EF. then the triangles could be proved congruent by Angle-Side-Angle.
if BC EF, then the triangles could be proved congruent by Angle-Side-Angle.
Answer: The triangles can be proven congruent from angle-angle-angle.
Step-by-step explanation: I know this because the angles match up with each other
A company rents water tanks shaped like cylinders. Each tank has a radius of 6 feet and a height of 2 feet. The cost is $30 per cubic foot. How much does it cost to rent one water tank
Step-by-step explanation:
Volume of tank = (pi)×(radius squared)×(height)
= 3.14×(6×6)×2
= 3.14×36×2
= 226.08 cu.ft
Each cu.ft is rented for $30
So, for 226.08 cu.ft is,
=226.08×$30
=$6782.3
YES OR NO PLS HELP URGENT
If two polygons are similar are they necessarily congruent?
YES OR NO? WITH EXPLANATION
Answer
Conditions for similar polygons. We say two figures are similar if they have the same shape, but not necessarily the same size. If they also have the same size, we say they are congruent. ... If two figures are similar, then they are also congruent.
