Answer:
x = 21 The angles are 85°, 58°, 69°, and 148°
Step-by-step explanation:
The sum of the interior angles of a 4 sided figure formula :
Sum of the interiors = (n - 2) 180°
Sum of the interiors = (4 - 2) 180
Sum of the interiors = (2)180° = 360°
Now : 85° + (x + 37)° + 69° + (6x + 22)° = 360°
213 + 7x = 360
7x = 360 - 213
7x = 147
x = 21 the angles are 85°, (21 + 37)° = 58°; 69°; (6·21 +22)°= 148°
Answer:
The degrees inside the quadrilateral are 85, 148, 69, and 58.
Step-by-step explanation:
The interior of the quadrilateral equals 360 degrees.
All the degrees inside need to add up to 360. You need to find out what x is so you can do that.
First, add all the degrees you know, then solve for x.
85 + 69 = 154.
Now, add in the other angles.
154 + (6x + 22) + (x + 37)
Add like terms together.
154 + 22 + 37 = 213 degrees 6x + x = 7x.
7x + 213 needs to equal 360.
Subtract 213 from both sides to get 7x alone.
7x = 360 - 213
7x = 147
Now, you need to solve for x. You do this by dividing both sides by 7.
7x/7 = 147/7
x = 21
To find the degrees of the two unknown angles, substitute 21 back in where x is.
6(21) + 22 = 126 + 22 = 148
and 21 + 37 = 58
85 + 148 + 69 + 58 = 360 degrees.
Can someone help me solve this question
Answer:
Step-by-step explanation:
Choosing a white pen from box a
A math book at the Victor Valley College bookstore originally cost $84 to purchase. If they sell it for $126, what is the markup rate?
What is the value of the expression
Answer:
I think it's B.
Step-by-step explanation:
A two-digit number is such that the sum of its digits is 12 and the ones digit is twice its tens digit. Find the number.
Answer:
48
Step-by-step explanation:
4 plus 8 is 12 and the ones digit is double the tens digit
Factor
x ^ 3 + 2x ^ 2 – 5x - 10 = 0
Answer:
Step-by-step explanation:
When you have four terms and 3rd degree equation (the highest power is 3) you will want to try to "factor by grouping"
Group together two terms, watch out for the negative signs!
x^3 + 2x^2-5x-10=0
(x^3 + 2x^2) - (5x+10)=0
Find a common factor in each group and factor it out. You're hoping that what is left in the parenthesis is the same in both cases.
x^2(x+2)-5(x+2)=0
Now you can factor out that (x+2) because it is both terms.
x^2(x + 2) - 5(x + 2)=0
~~~~ ~~~~
Pull these out.
What will be left is the x^2 and the - 5 (dont lose that - in front of the 5)
(x + 2)(x^2 - 5) = 0
If all you have to do is factor, then you're done. It is factored. But if you have to "solve" also, then put x+2=0 and x^2-5=0 and solve.
x = -2 and x = +- sqrt5
Sally has a rectangular garden that is surrounded by a 6ft-wide and 8ft-long fence. However, she wants to expand her garden so that it is twice as wide and twice as long. What is the new perimeter of her garden?
Based on the information given, it can be deduced that the perimeter of the garden will be 56 feet.
Since the rectangular garden is surrounded by a 6ft-wide and 8ft-long and Sally wants to double the dimensions, the new dimensions will be 12ft and 16ft.
Perimeter of a rectangle = 2(l + w)
Perimeter = 2(12 + 16)
Perimeter = 2(28)
Perimeter = 56 feet.
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Plz help ToT I'm horrible at math
Answer:
24 Square Inches
Step-by-step explanation:
What is 2a・420 divided by 3z when z=34 and a=56
461.176470588
Explanation:
2×56=112
112×420=47040
---------------------------------
3×34=102
---------------------------------
47040÷102=461.176470588
Jason was given a triangle that had a side length of 10m and a hypotenuse of
15m. When he substituted these values into the Pythagorean Theorem, he got 102 + 152 = c2
.
Part A. Find Jason’s mistake and explain it.
Part B. Solve for the missing length, show your mathematical thinking, and justify your answer.
Answer:
The pythagorean theorem is:
H = [tex]\sqrt{s_1^2 + s_2^2}[/tex]
With H being the hypotenuse, s1 one side, s2 the other one. He already has a side and the hypotenuse so he has to calculate the inverse formula:
s2 = [tex]\sqrt{H^2 - s_1^2}[/tex]
So the real side will be:
square root of (15^2 - 10^2) = square root of (225 - 100) = 125 m
Jason made a mistake calculating the squares of the hypotenuse and the side, he didn't subtract and didn't take the root of the result.
will give brainliest to correct answer !
lmk if you're looking for point slope form but it's y = 2/5x - 3
The area of a rectangle is given by 3x^3+14x^2-23x+6
The width of the rectangle is given by x + 6. Find an expression for the length of the rectangle.
The length of the rectangle is defined by [tex](x-1)\cdot \left(x-\frac{1}{3} \right)[/tex].
Geometrically speaking, the rectangle area is equal to the product of its base and its length. According to the statement the area is represented by a third order polynomial and width by a first order polynomial and, thus, length must be a second order polynomial.
By factor the polynomial we get the following roots:
[tex]A = 3\cdot x^{3}+14\cdot x^{2}-23\cdot x + 6[/tex]
[tex]A = (x+6)\cdot (x-1)\cdot \left(x-\frac{1}{3} \right)[/tex]
Then, the length of the rectangle is defined by [tex](x-1)\cdot \left(x-\frac{1}{3} \right)[/tex].
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Question 5 of 10
What is the solution to this equation?
6x + 10 - 2x = 7 + 23
A. X = 15
B. X= 4
C. X= 5
D. X= 2
Answer:
x=5
Step-by-step explanation:
First you combine the like terms. next you add 7+23. After that you subtract 10 from both sides. You're left with 4x=20. divide the equation by 4 on each term. Then you're left with x=5.
A baker displays 72 muffins on 8 identical trays.
How many trays does the baker need to display 54 muffins?
Enter your answer in the box.
HELPPPP PLSSSS IT'S UNIT RATE BUT I Don't HAVE MUCH TIME TO DO IT!!!
Answer:
So Jennys Jean store charges the higher rate.
Step-by-step explanation:
Jeanys Jean store
Cost/pair = 20/1 = $20 per pair
Jeans warehouse
Cost/pairs = 36/2 = $18 per pair
So Jennys Jean store charges the higher rate.
What is the x-coordinate of the solution to the system of equations?
3x + 5y = 10
1x + 5y = 2
Answer:
x = 4
Step-by-step explanation:
Use elimination method.
-----------------
3x + 5y = 10
-(1x + 5y) = -1(2)
-1x -5y = -2
------Simiplify------
2x = 8
x = 4
Need help please. High school Geometry
Answer: last one
Step-by-step explanation:
Which graph represents the function y= 2x – 4?
GIF
st
4
3
3
-3
...2
2+
2
1
+
-3 -2 -1
2
5 4 -3 -2 -1
2
3
-5 -4 -3 -2 -1
2
-2
-2
O
Answer:
4
Step-by-step explanation:
The graph of the function is attached in the solution.
What is graph?A graph is a diagram or a pictorial representation of data or values that show the relationship between quantities or objects.
Given is an equation, y = 2x-4, we need to determine its graph,
So, for the same, finding the coordinates,
y = 2x-4
Put x = 0
y = -4
(0, -4)
Put x = 1
y = -2
(1, -2)
Put the coordinates on the graph and the join them, the line obtained by this will represent the graph of the function given.
Hence. the graph of the function is a straight line.
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PLEASE HELP ME!!!!!!!
Answer:
The answer is B
Step-by-step explanation:
The answer would be B because the domain of a function is always all real numbers.
6x - 4y = 16 find the slope and y intercept
Answer: slope: 3/2
y-intercept: (0,-4)
Step-by-step explanation:
y=3/2x-4 is slope intercept form
Given that △ABC is an isosceles triangle with AB⎯⎯⎯⎯⎯≅AC⎯⎯⎯⎯⎯ and AD⎯⎯⎯⎯⎯ bisecting ∠BAC, which of the following proves that ∠ABD≅∠ACD?
The isosceles triangle having an angle bisector [tex]\overline{AD}[/tex] forms two congruent triangles.
ΔBAD ≅ ΔCAD, therefore, ∠ABD ≅ ΔBAD, by CPCTCReasons:
The given parameters are;
ΔABC is an isosceles triangle.
[tex]\overline{AB}[/tex] ≅ [tex]\overline{AC}[/tex]
[tex]\overline{AD}[/tex] bisects ∠BAC
Therefore, the proof that ∠ABD ≅ ∠ACD is given as follows;
1. [tex]\overline{AB}[/tex] ≅ [tex]\mathbf{\overline{AC}}[/tex] (Given)
2. [tex]\overline{AD}[/tex] bisects ∠BAC (Given)
3. ∠BAD ≅ ∠CAD (Definition of angle bisector)
4. [tex]\overline{AD}[/tex] ≅ [tex]\mathbf{\overline{AD}}[/tex] (Reflexive property of congruency)
5. ΔBAD ≅ ΔCAD (Side Angle Side, SAS rule of congruency based on steps 1, 3 and 4)
6. ∠ABD ≅ ∠ACD (Congruent Parts of Congruent Triangle are Congruent, CPCTC)
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amplitude of y=-2sin(3x)+6
Answer:
amplitude = 2
Step-by-step explanation:
Given sine in standard form
y = asinbx + c
amplitude = | a | , period = [tex]\frac{2\pi }{b}[/tex] , c is the vertical shift
Given
y = - 2sin(3x) + 6
amplitude = | - 2 | = 2
Planes A and B intersect. Vertical plane B intersects horizontal plane A at line E D. Line C D is on plane A. Which describes the intersection of planes A and B? line CD line ED point C point D.
The description of the intersection of plane A and plane B is line CD
From the question (see attachment for the diagram of both planes), we have the following highlights
Point C is on plane A and plane BPoint D is on plane A and plane BBoth planes meet at the line that joins points C and D.
Hence, the description of the intersection of plane A and plane B is line CD
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Answer:
The first answer, CD, is correct.
Edg, 2023
Hey can u help me pls.
Answer:
15 dots
Step-by-step explanation:
formula :: 1/2 x n ( n +1 )
fig 1 ; 1 /2 x 1 ( 1+1 ) = 1 dot
fig 2 :; 1/2 x 2 ( 2+1 ) = 3 dots
......
fig 5 :: 1/2 x 5 ( 5+1 ) = 15 dots
Can someone please help me with this one? :D ty!
2,000 Sorry That Was I Know #carryonlearning
Which congruence criteria is met in the following scenario?
HL
ASA
SSS
AAS
SAS
Solve the quadratic equation given.
6x2 - 24 = 0
[tex] {6x}^{2} - 24 = 0 \\ = > 6( {x}^{2} - 4) = 0 \\ = > 6 {((x)}^{2} - {(2)}^{2} ) = 0 \\ = > 6(x - 2)(x + 2) = 0 \\ = > 6(x - 2) = 0 \: \: \: or \: \: 6(x + 2) = 0 \\ = > 6x - 12 = 0 \: \: \: or \: \: \: 6x + 12 = 0 \\ = > x = 2 \: \: \: or \: \: \: x = - 2[/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
Examine the function f(x)=log2x.
Which point is the intersection of f(x) and the line y=1?
(1,2)
(12,1)
(2,1)
(1,1)
Answer:
Is the question worded properly?
I find the intersection of the two lines to be (5,1), which is not an answer option.
Step-by-step explanation:
We want the value of x that will produce a value of 1, which will be the point the curve crosses y = 1.
log (10) = 1
Therefore 2x = 1, and x = 5
(5,1)
6. Does the set of ordered
pairs represent a function?
Explain.
{(0,5), (-2, -1), (0, -5), (3, 20)}
Answer: this is not a function because the X values are repeating for example we see that 0 is set in the X value side it can’t have 5 and -5 as it’s y at the same time therefor it’s not a function
what is the value of y if x = 4
Answer:
5aaaaaaaaaaaaaaaaaaaaaaaa
here is the next question jj
Answer:
3.7 and east.
Step-by-step explanation:
Answer:
3.7 and east
Hope this helps! Good luck!! :)