The measure of the angle C is 120°.
Given that the parallelogram ABCD, we need to find the measure of the angle C,
We know that in a parallelogram the opposite angles are equal and the adjacent angles are supplementary,
So,
∠D = ∠B
6x + 6 = 10x - 30
4x = 36
x = 9
So, ∠D = ∠B = 60°
So,
∠C + ∠D = 180°
∠C = 180° - 60°
∠C = 120°
Hence the measure of the angle C is 120°.
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The polygons in each pair are similar. find the missing side length
If both are similar ratio of sides will be same
[tex]\\ \sf\longmapsto \frac{x}{25} = \frac{7}{5} \\ \\ \sf\longmapsto 5x = 7 \times 25 \\ \\ \sf\longmapsto 5x = 175 \\ \\ \sf\longmapsto x = \frac{175}{5} \\ \\ \sf\longmapsto x = 35[/tex]
find the area of the circle pi equals 3.14 and there's a radius of 16.
[tex]a = nr^{2} [/tex]
Radius is 16. DO NOT ROUND
Answer:
A = 803.84
General Formulas and Concepts:
Symbols
π (pi) ≈ 3.14Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Area of a Circle Formula: A = πr²
r is radiusStep-by-step explanation:
Step 1: Define
Identify
r = 16
Step 2: Find Area
Substitute in variables [Area of a Circle Formula]: A = (3.14)(16)²Evaluate: A = 803.84giving the funtions f(x)=2x-5 and g(x)=3x2=2 perform the indicated operation
Answer:3165
Step-by-step explanation:
Find the equation of the line that is perpendicular to y=1/6x+3
and contains the point (-3,23).
y = [?]x + [?]
Answer:
y = -6x + 6
Step-by-step explanation:
The general equation of a line is
y = mx + b
where m is the slope and b is the y-intercept
The slope in the first equation is 1/6
Mathematically, when two lines are perpendicular, the product of their slopes is -1
1/6 * m2 = -1
m2 = -6
So we have the equation as;
y-y1 = m(x-x1)
y-23 = -6(x + 3)
y = -6x -18 +23
y = -6x + 6
which algebraic expression represents this word description the quotient of six and the sum of a number and eight
Which angle is coterminal to a 175 degree angle?
Answer:
Step-by-step explanation:
-185
Jeanette ice cream shop sold 10 sundaes with nuts and 7 sundaes without nuts to the total number of sundaes
PLEASE HELP! I'LL GIVE BRAINLIEST:)
The center of the circle whose equation is (x + 2)² + (y - 3)² = 25 is (2, -3) (2, 3) (-2, 3)
Step-by-step explanation:
We know that if (h,k) is the center of any circle and whose radius is = r then its equation is :
[tex] {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} [/tex]
Given, the equation of circle
[tex] {(x + 2)}^{2} + (y - 3) ^{2} = 25 = {5}^{2} [/tex]
By comparing, we will get,
h = -2
k = 3
So, center of the circle is ( -2,3)
[tex]\large \green{ \: \: \: \: \boxed{\boxed{\begin{array}{cc} \bf\:Mark\\\bf\:me\:as\\\bf brainliest \end{array}}}} \\ [/tex]
Answer:
-2;3
Step-by-step explanation:
we have a formular
(x-a)^2 +(y-b)^2=c
the center of the cirlce is (a;b)
so in this case it's (-2;3)
Find the slope of the line graphed below.
Answer:
Y =1.2X +-1.6
Step-by-step explanation:
x1 y1 x2 y2
3 2 -2 -4
(Y2-Y1) (-4)-(2)= -6 ΔY -6
(X2-X1) (-2)-(3)= -5 ΔX -5
slope= 1 1/5
B= -1 3/5
Y =1.2X +-1.6
2 cos(3x+40°)-1=0
Thanks for your question
Step-by-step explanation:
gjfjdjjfu from Florida for Christmas and technology center and technology and technology
1+1×2+3+5×8÷3+2/3×8+1+1+4=?
Answer:
92/3
Step-by-step explanation:
PEMDAS
(Parentheses Exponents Multiplication Division Addition Subtraction)
No Parentheses
No Exponents
Multiplication:
1+ 2 +3+ 40 ÷3+ 16/3 +1+1+4
Division:
1+2+3+ 40/3 +16/3+1+1+4
Addition:
12 + 56/3 = 92/3
No Subtraction
**Assuming "/" indicates a fraction and "÷" indicates division (2/3 × 8 is different than 2 ÷ 3 × 8)
After getting RM24 from his mother, Samuel had 3 times as much as he had previously. How much did he have previously?
Answer:
Samuel had RM8 previously
Step-by-step explanation:
24÷3=8
Today, 6 friends went out for lunch. Their total bill was $27.60, including tax and gratuity. They decided to split the bill equally and each paid with a $10 bill. How much money will each person get back?
Step-by-step explanation:
Right, okay, so this is a bit of a weird one. Let's go step by step.
"Today, 6 friends went out for lunch." = The number 6 is gonna be in our equation somewhere.
"Their total bill was $27.60" = so is the number 27.6
"They decided to split the bill equally" = 27.6 "split equally" (aka divided by) 6 friends is 4.6
"each paid with a $10 bill" = This is where it gets a lil weird. So, if they divided the bill among them, none of their amounts are gonna be anywhere near ten dollars. This is one of those questions that wouldn't really happen in real life. People would probably use fives instead, but whatever. So a number we'll be using for something is 10.
"How much money will each person get back?" = So we have to find the amount they all paid (10) minus the amount each one had to pay (4.6).
To put it all into a full equation...
10 - ( 27.6 / 6 )
Divide.
10 - 4.6
Subtract.
5.4
Put back into money form.
$5.40
Answer:
Each person will get back $5.40.
Answer:
if each paid a $10 bill, in total they paid $60 (cuz 10 x 6)
60 - 27.60 = 32.4
32.4/6 = 5.4 (divide the change between 6 people)
Each person will get $5.40 back.
hope it helps :)
plzz any help please
Answer:
9
Step-by-step explanation:
If the sine of an angle is equal to the cosine of an angle, that means that the sides adjacent and opposite to that angle are equal. One triangle that has two equal sides is an isosceles triangle. We can set this triangle to be a 45-45-90 degree triangle, which means that the angle would be 45.
Now, we have to find the value of
[tex]4\tan^2(45)[/tex]
and
[tex]5\tan(45)[/tex]
The tangent of 45 is 1, so 1 squared times 4 is 4.
We have [tex]4\tan^2(45) = 4[/tex].
Again, the tangent of 45 is 1, and 1 times 5 is 5.
We have [tex]5\tan(45) = 5[/tex]
5 + 4 = 9
the angle of elevation to a nearby tree from a point of the ground is measured to be 39 degrees
Answer:
66.4
Step-by-step explanation:
tan(39)=x/82
x=tan(39)×82
x=66.4 (rounded to the nearest tenth)
Answered by GAUTHMATH
For the right triangle shown, use the trig functions to find the value of x. Round your answer to the nearest tenth
Answer:
28.3
Step-by-step explanation:
Use the Tangent
Tan(theta) = opposite over adjacent.
opposite (defined as the line that does not make up the angle) = 17
Theta = 31
adjacent (one of the lines making up the angle) = x
Tan(31) = 0.6009
Tan(31) = 17/x Multiply both sides by x
x*tan(31) = 17 Divide by tan 31
x = 17/tan31
x = 17 / 0.6009
x = 28.29
Rounded to the nearest 1/10 is 28.3
in the triangle below which of the following best describes dh
Which of the following is equivalent to:
-(3x + 2)
Select one:
a.
-3x + 2
b.
-6x
c.
-5x
d.
-3x - 2
Answer:
D is the answer
-(3x + 2)
d) -3x-2
Answer:
d
Step-by-step explanation:
Given
- (3x + 2) which is equivalent to
- 1 (3x + 2) ← multiply each term in the parenthesis by - 1
= - 3x - 2 → d
instructions Find m<DCB
===========================================================
Explanation:
Your teacher shows that minor arc BD is 129 degrees. Recall that any minor arc is always less than 180 degrees.
Let's say that we had point A at the center of the circle. This would mean angle DAB is 129 degrees. This central angle subtends or cuts off minor arc BD.
Now focus entirely on quadrilateral DABC. The goal is to find the unknown angle C. The angle A was found earlier at 129 degrees. The angles B and D are 90 degrees each since tangents are perpendicular to the radius at the point of tangency.
We have this so far
A = 129B = 90C = unknownD = 90Adding all four angles of any quadrilateral will always get us 360 degrees. It's similar to how adding the angles of a triangle gets us 180 degrees. In fact, any quadrilateral can be cut into two triangles (aka the process of triangulation). So adding two triangles gets us 180+180 = 360 more or less.
--------------
Anyways, the four angles A,B,C,D must add to 360. So,
A+B+C+D = 360
129+90+C+90 = 360
C+309 = 360
C = 360-309
C = 51
--------------
As a shortcut, note how B+D = 90+90 = 180
Also note that A+C = 360-(B+D) which becomes A+C = 180
So, C = 180-A = 180-129 = 51
The line plot below shows the amount of time Jason spent practicing
his soccer skills on six separate days. How much time did he spend on
all six days?
х
X
х
+
3
х
+
1
х
1
Times (hour)
Please help me I will give brainliest!!!!
The total amount of time spent on practicing is 3 minutes
To obtain the total practice time, we multiply the time taken by its respective frequency as seen on the plot.
From the plot:
([tex](1 * 0) + (1 * 1/4) + (2 * 1/2) + (1 * 3/4) + (1 * 1)\\(0 + 1/4 + 1 + 3/4 + 1)\\= 3[/tex]
Hence, the total amount of time spent is 3 minutes as obtained from the dot plot given.
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[tex]-2x(x+3)-(x+1)(x-2)[/tex]
Answer:-3x2-5x+2
Step-by-step explanation:
Distribute -2x to x+3, and then x+1 to x-2
[tex]-2x^{2}[/tex] [tex]-6x[/tex] [tex]-x(x-2)+1(x-2)[/tex]
[tex]-2x^{2} -6x-x^{2} +2x+1x-2[/tex]
[tex]-3x^{2} -3x-2[/tex]
Sorry it’ll be -3x2 -5x +2
What is the initial value of the sequence?
1
2
3
8
Answer:
2
Step-by-step explanation:
The initial value is the y value of the first term shown ( when x=1)
y = 2 when x=1
The initial value is 2
Answer:
What is the initial value of the sequence?
1 2 <<<CORRECT 3 8
Step-by-step explanation:
Edge 2021
simplify
[tex] \sqrt[6]{5} \times \sqrt[2]{5} = [/tex]
sumplify
Step-by-step explanation:
[tex] \sqrt[6]{5} \times \sqrt[2]{5} [/tex]
[tex] = {5}^{ \frac{1}{6} } \times {5}^{ \frac{1}{2} } [/tex]
[tex] = {5}^{ \frac{1}{6} + \frac{1}{2} } [/tex]
[tex] = {5}^{ \frac{1 + 3}{6} } [/tex]
[tex] = {5}^{ \frac{4}{6} } [/tex]
[tex] = {5}^{ \frac{2}{3} } [/tex]
[tex] = \sqrt[3]{ {5}^{2} } (ans)[/tex]
How many numbers of the set {1, 2, 3, 4, . . . , 297, 298, 299, 300} are multiples of 10 but not multiples of 15?
Answer:
I get 20
Step-by-step explanation:
While there probably is some logical way to go about this I just did it in excel
screenshot below
Answer:
20
Step-by-step explanation:
10
20
40
50
70
80
100
110
130
140
160
170
190
200
220
230
250
260
280
290
A graph is shown.
How do you determine if this is a function or not? Is this a function. Help please
Answer:
Not a function
Step-by-step explanation:
we see on this graph,
(1,2) and (1,7)
we have two of the same x points, when put on a graph, that would be having 2 of the same inputs.
which always means it's not a function.
pls answer this its a question from wootube
Answer:
Its -34 cuhcuhcuchuchcuh
Step-by-step explanation:
cuhcuhcuchucuhcuhcuhcuhcuchcuh
The function f is defined by f(x) = x^2 - 2x - 24. If f(x+3) = x^2 - kx - 21, what is the value of k?
Answer:
k = 4
Step-by-step explanation:
In the equation: x² - 2x - 24
Replace the x with x + 3
(x+3)² - 2(x+3) - 24
x² + 6x + 9 - 2x - 6 -24
Let's rearrange it
x² + 6x -2x - 24 + 9 - 6
x² - 4x - 21
f(x+3) = x² - 4x - 21
The equivalent value of k from the function is k = -4
What is a function rule?The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.
A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Given data ,
Let the function be represented as A
Now , the value of A is
f ( x ) = x² - 2x - 24
Let the second function be represented as B
Now , the value of B is
f ( x + 3 ) = x² - kx - 21
On simplifying , we get
f ( x + 3 ) = ( x + 3 )² - 2 ( x + 3 ) - 24
f ( x + 3 ) = x² + 6x + 9 - 2x - 6 - 24
f ( x + 3 ) = x² + 4x - 21
So , from the equations , we get
-kx = 4x
Divide by -x on both sides , we get
k = -4
Hence , the equation is k = -4
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What is the range of f(x)?
{xl-2
{x|-2
{yl-5
{yl-5 sy<-1}
Answer:
-5≤y≤-1
Step-by-step explanation:
The range is the values that y takes
The smallest value of y is -5 and the largest value of y is -1
-5≤y≤-1
The sine of angle θ is 0.3.
What is cos(θ)?
The answer:
[tex]\sqrt{9}1 /10[/tex]
Explanation to your question:
Since the sin of theta is 0.3, we can reasonably deduct that the opposite side to theta has a ration of 3 to 10 to that of the hypotenuse. Thus, the adjacent side to theta, using the pythagorean theorem, will be root91. Therefore, since the cosine of theta is the adjacent/hypotenuse, we get root 91/10
Whose perfect square should be added to the sum of the greatest three digit prime number and the smallest two-digit prime number, so that the resultant number is perfect square of 32? pls give me ans pls pls pls
Answer:
Step-by-step explanation:
Let y is the required number.
a/c to question,
y² + greatest three digit prime number + smallest two digit prime number = 32²
we know, greatest three digit prime number = 997
smallest two digit prime number = 11
now, y² + 997 + 11 = 32²
or, y² + 1008 = 1024
or, y² = 1024 - 1008
or, y² = 16
or, y = 4
hence, required number number is one digit even number e.g., y = 4
Hope this answer helps you :)
Have a great day
Mark brainliest