Answer:
x = 39
Step-by-step explanation:
The opposite angles of a parallelogram are congruent, so
3x - 15 = 2x + 24 ( subtract 2x from both sides )
x - 15 = 24 ( add 15 to both sides )
x = 39
The value of x from the parallelogram is given by the equation x = 39°
What is a Parallelogram?A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure
The four types are parallelograms, squares, rectangles, and rhombuses
Properties of Parallelogram
Opposite sides are parallel
Opposite sides are congruent
Opposite angles are congruent.
Same-Side interior angles (consecutive angles) are supplementary
Each diagonal of a parallelogram separates it into two congruent triangles
The diagonals of a parallelogram bisect each other
Given data ,
Let the parallelogram be represented as ABCD
Now , the total internal angle of a parallelogram is 360°
Now , the equation will be
∠A + ∠B + ∠C + ∠D = 360°
Substituting the values in the equation , we get
3x - 15 + 2x + 2x + 2x + 24 = 360° be equation (1)
On simplifying the equation , we get
9x + 9 = 360
Subtracting 9 on both sides of the equation , we get
9x = 351
Divide by 9 on both sides of the equation , we get
x = 39°
Therefore , the value of x is 39°
Hence , the equation is x = 39°
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Andy estimated that he would need 73 feet of lumber for a tree house project. He later found that the actual amount of lumber needed was 62 feet. What was the percent error of Andy's estimation?
Answer:
17.74%
Step-by-step explanation:
The formula for percent error is given as:
|Estimated value - Actual value|/Actual value × 100
From the above question:
Estimated value = 73 feet
Actual value = 62 feet
Hence,
Percent error = |73 - 62|/62 × 100
= 11/62 × 100
= 17.741935484%
Approximately , percent error = 17.74%
Therefore, the percent error of Andy's estimation is 17.74%
From a barrel of colored marbles, you randomly select 1 blue 6 yellow 7 red 4 green and 6 purple marbles
Complete question :
From a barrel of colored marbles, you randomly select 1 blue 6 yellow 7 red 4 green and 6 purple marbles. Find the experimental probability of randomly selecting a marble that is NOT yellow.
Answer:
Step-by-step explanation:
Total number of marbles :
Blue = 1 ; yellow = 6 ; red = 7 ; green = 4 ; purple = 6
Total = (1 + 6 + 7 + 4 + 6) = 24 marbles
Probability of selecting marble that is not yellow :
Number of marbles that aren't yellow / total number of marbles
Marbles that aren't yellow = 24 - 6 = 18
P(selecting a marble that isn't yellow) = 18 / 24 = 3/4
Find y to the nearest degree. *
Step-by-step explanation:
.....................
Please help!
Due soon...
Answer:
1: 233 m
2: 466 m
3: 241.87 m
4: 483.72
Step-by-step explanation:
The Pythagorean Theorem states that a^2 + b^2 = c^2, in which c is the hypotenuse (in this case, PQ and RS).
1: 105^2 + 208^2 = 54289, square root of 54289 = 233
2: Since the area of the triangle makes up half of the rectangle, multiply the area by 2 to get 466
3: 120^2 + 210^2 = 58500, square root of 58500 is 241.87
4: Multiply by 2 to get 483.72
HELP IM GOING TO HAVE A MENTAL BREAKDOWN
Find the values of x and y that make these triangles congruent by the HL Theorem.
Answer:
x = 3 ; y=2
Step-by-step explanation:
to simplify the work we can build a system of two equations
2x+3 = 3y+3
x = y+1
we can now substitute the value of x in the first equation
2(y+1)+3 = 3y+3
2y + 2 + 3 = 3y+3
2y + 5 = 3y+3
y = 2
now we can subisitute the value of y in the first equation
x = 2 + 1 = 3
Verify
2(3)+3 = 6+3 = 9
3(2) + 3 = 6 + 3 = 9
3
2+1 = 3
Help please ASAP
2. A birthday present is placed into a rectangular
shoe-box. The box has the following dimensions: 3
inches by 7 inches by 8 inches. What is the minimum
amount of wrapping paper needed to cover the
entire box?
a.
146 sq. in.
b.
101 sq. in.
C
202 sq. in.
d.
168 sq. in.
Answer: 168 sq. in.
Step-by-step explanation: the shape is a cubiod the volume is lbh=3*7*8=168
Can someone help me
Answer:
b. the slopes of both functions are positive
Step-by-step explanation:
hope this helps :)
Answer:
C. The slope of function A is positive and the slope of function B is negative.
Step-by-step explanation:
For this problem, you need to determine the slope of each function.
For function A:
You're given y = (1/4)x - 2/3, which is in slope-intercept form y = mx + b. The slope of an equation in slope intercept form is given by m.
So the slope for function A is 1/4.
For function B:
You're given a list of (x, y) points, so use the definition of the slope = [tex]\frac{y2-y1}{x2-x1}[/tex], which gives you the slope from any two (x, y) points on the line. Let's take the first and second points (2, -8) and (4, -9)
Slope = [tex]\frac{-9-(-8)}{4-2} = \frac{-1}{2}[/tex].
Therefore, the slope of function A is positive and the slope of function B is negative.
What is the value of n in the equation below? a^n/ a^3 = a^9
a. 3
b. 6
c. 12
d. 27
Answer:
C, 12
Step-by-step explanation:
it is multiple choice and i know 100% that the answer is no, but i dont know the answer for the solution part
Answer:
NO
NO SOLUTION
Step-by-step explanation:
2t + 2e = 11 eqn 1
t + e = 6.5 eqn 2
this can be solved using simultaneous equation
Multiply eqn 2 by 2
2t + 2e = 13
subtract eqn 1 from2
0 + 0 = 2
there is no solution
Help please
Thanks <3
Answer:
answer in the screen shot provided
Which measurement can be used to describe the size of an angle
Answer:
Step-by-step explanation:
degrees
B is the midpoint of AC, if AB=2x+1 and BC= 3x-4, what is x? What is the measure of BC? What is the measure of AC?
Answer:
ayaw pag salig og brainly lods
Which ordered pairs are solutions to y = x + 1?
A (0,1),(1,2), (2,3)
B (0, -1), (2, -1), (3,-2)
C (0,1),(1,2), (2, 4)
D (0,1),(2, 1), (3, 1)
Answer:
A. ( 0, 1 ), ( 1, 2 ), ( 2, 3 )
Step-by-step explanation:
( x, y ) = ( 0, 1 )
Here,
x = 0
y = 1
y = x + 1
1 = 0 + 1
1 = 1
( x, y ) = ( 1, 2 )
Here,
x = 1
y = 2
y = x + 1
2 = 1 + 1
2 = 2
( x, y ) = ( 2, 3 )
Here,
x = 2
y = 3
y = x + 1
3 = 2 + 1
3 = 3
problem of volume that equals 9 work please
Step-by-step explanation:
l=1
b=3
h=3
l×b×h
9 is the vol
solve the equation using square roots. round your solutions to the nearest hundredth. 5x^2+2=6
Anyone help me with this please!!
PLEASE HELP IF YOU KNOW HOW TO EXPLAIN
Answer:
cos Q = 28/53
Step-by-step explanation:
cosine = CAH
= Adjacent / Hypotenuse
adjacent length 25 and hypotenuse is 53
hope this helps!
Simon leans a 20 ft ladder against the side of his house so that the base of the ladder is
5 ft from the house. About how high up the side of the house does the ladder reach?
Round to the nearest tenth of a foot?
Help me ASAP!!
Find the area of the whole blue triangle.
8.5 m
10 m
8 m
3 m
6 m
Evaluate the expression for a = 10 and b = 12.
a+4(b−3)
Answer:
46
Step-by-step explanation:
a + 4(b - 3)
Substitute the values for a and b.
10 + 4(12 - 3)
Subtract inside the parenthesis.
10 + 4(9)
Multiply.
10 + 36
Add.
46
pppppllls help I need help
Answer: This is basic trig man, So I can help you here. First thing you need is a calculator that can do sin cos and tan, ti-84 would work best. You need to use the sin cos and tan formulas to find the edge lengths of the side. heres a helppful tip to remeber the proper way to use the formulas. SOH-CAH-TOA or sin(angle measure)= Opposite side to that angle measure divided by the hypotenuse cos(angle measure)= adjacent side (the side next to the angle) divided by the hypotenuse. and TOA or Tan(angle measure)=Opposite divided by adjacent.
Step-by-step explanation: This is a mix of Special right triangles and trig. You now know how to do the trig, look up special right triangles 60 30 90 and 90 45 45, it should show you how to do the rest of the math, since I don't recall the formulas for this off the top of my head. I am not just giving you the answers for two reasons, 1 it would take tooo long and I am already doing a quiz, which I have five minutes left to complete, and B If you cant do this for yourself you will fail the final for your course.
The measure of angle P is ___ degrees, rounded to the nearest hundredth.
Answer:
35.00 degrees
Step-by-step explanation:
The number of marbles of different colors stored in a hat is listed below:
4 red marbles
10 green marbles
7 blue marbles
Without looking in the hat, Dan takes out a marble at random. He replaces the marble and then takes out another marble from the hat. What is the probability that Dan takes out a blue marble in both draws?
2/21
1/9
1/2
2/3
Answer:
The answer would be a 1/9 chance of him picking two blue marbles in a row.
an event that cannot happen is
a certain
b possible
c impossible
Find the 93rd term of the arithmetic sequence -6,13,32...
Answer:
1742
Step-by-step explanation:
I am of the belief this is the right answer according to the arithmetic calculator.
The temperature in San Antonio, Texas is currently 77 degrees Fahrenheit and increasing by 3 degrees per hour. The current temperature in Mumbai, India is 92 degrees Fahrenheit and dropping by 2 degrees per hour. 1. When will the temperatures be the same? 2. What will that temperature be?
Answer:
1)3 2)86
Step-by-step explanation:
3h+77=SA AND 92-2h=MB
3h+77=92-2h
-77. = -77
3h= 15-2h
+2h=+2h
5h=15
H=3
What is the answer if you factor 5x^2+15x-20
Mandy the elephant weighs 7,390 lbs her baby luna weighs 1492 how many more pounds does mandy weigh than luna
Answer:
5898
Step-by-step explanation:
7,390 - 1,492 = 5898
On average, the moon is 384,400 kilometers from the Earth. How is this distance written in
scientific notation?
A. 0.3844 x 10^-6
B. 3.844 x 10^-5
C. 3.844 10^5
D. 0.3844 x 10^6
Answer:
C
Step-by-step explanation:
hope this helps with the work
-6x² + 8x + 10is in what form?
A)Standard
B)Linear
C)Vertex
D)Parent
Step-by-step explanation:
The given quadratic equation is in standard form.