Answers
Answer:
x = 162 degrees.
Step-by-step explanation:
m < RSP = 180 - 72
= 106 degrees (adjacent angles)
m < Q = m < RSP ( Opposite angles in a parallelogram are equal).
So m < Q = 180 degrees.
m < x = 360 - 90 - 108
= 360 - 198
= 162 degrees.
Using the appropriate angle theorems, the value of the angle, x in the parallelogram would be 162°
At angle S :
S + 72 = 180 (sum of straight line angles)
S = 180° - 72°
S = 108°
S = Q (opposite angles of a parallelogram)
Q = 108°
Hence,
Q + x + right angle = 360° (sum of angles at a point)108° + x + 90 = 360
x = 360 - (108 + 90)
x = 162°
Hence, the value of x is 162°
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Related Questions
Complete the statement. The line x = −2 is _______.
Answers
Answer:
see explanation
Step-by-step explanation:
The line x = - 2
Is a vertical line parallel to the y- axis
It passes through all points with an x- coordinate of - 2
Plz help I’ll mark brainliest
Answers
Answer:
[tex]\large \boxed{\mathrm{2 \ meters}}[/tex]
Step-by-step explanation:
The triangle formed is a right triangle.
We can use trig functions to solve.
The maximum length of the seesaw is the length of the hypotenuse of the triangle.
sin θ = opp/hyp
Let x be the hypotenuse length.
sin 30 = 1/x
x = 1/sin30
x = 2
The maximum length of the seesaw is 2 meters.
Answer:
2
Step-by-step explanation:
Take the right triangle formed by the seesaw.
Let x be the maximum heigth that we are looking for
● sin 30° = 1/x
Switch x and sin 30°
● x = 1 /(1/2)
● x = 1 ×(2/1)
● x= 1×2
● x = 2
What does y equal -3=15+4y
Answers
Answer:
-3 = 15+4y
4y = 12
y = 3.......
help me plz can somewon help me
Answers
Answer:
The answer is 6x10^-4.
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10 .
If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
How to get this answer:
Place the decimal point after the 6 to get 6.0
The question is now "how do we go from 6.0 to get back to 0.0006?"
The answer is "move the decimal point 4 spots to the left". This movement of "move 4 left" means the exponent is -4. The negative because we moved to the left. The 4 indicates how many spaces we moved.
So we get the scientific notation value of [tex]6.0 \times 10^{-4}[/tex] which is the same as [tex]6 \times 10^{-4}[/tex] because 6.0 simplifies to 6
Please someone help me
Answers
Answer:
r = 0.046212737
Step-by-step explanation:
A = 14,400 (what your investment originally is)
P = 7,200 (what you want your investment to be)
n = 365 (interest is compounded daily)
t = 15 (15 years)
Plug all of these numbers into the equation, then solve for r
14,400 = 7,200(1 + r/365)^365 · 15
Divide 7,200 on both sides --> 2 = (1 + r/365)^365 · 15
365 · 15 = 5475 --> 2 = (1 + r/365)^5475
5475√(2) = 1 + r/365 (root 5475 both sides to cancel out the exponent)
(5475√(2)) - 1 = r/365 (subtract one from both sides)
((5475√(2)) - 1) · 365 = r (multiply both sides by 365 to isolate r)
Type the left side into the calculator to get r --> 0.046212737.
Hope this helps!
The answer is r= 0.046212737
Find the length of KE. A. 30 B. 28 C. 15 D. 3
Answers
Answer:
28
Step-by-step explanation:
What value of p makes both sides equal the same? P = 3
37 - 9 = 28
21 + 7 = 28
So line KE and BE both equal 28
Hope this helps, and have a good day :)!
The length line KE and BE both equal 28.
Option (B) is correct.
Find the length of KE.
What is angle?Figure which is formed by two rays or lines that shares a common endpoint.
Given that:
Let the value of
P = 3
Put the value of P
37 - 9 = 28
21 + 7 = 28
So, line KE and BE both equal 28
Learn more about angle here:
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How does it do? thank you very much
sorry this subject is physic.
Answers
If a person earned $32,000 a year and received $800 raise, what was the percent increase in her salary?
Answers
Answer:
Hey there!
This would be a 2.5% increase in salary.
Using the percent increase formula we find the answer to be a 2.5% increase.
Let me know if this helps :)
Answer:
2.5%
Step-by-step explanation:
((new - original) / original) * 100
328-320 = 8/320 = 0.025
0.025 * 100 = 2.5
I know how to do it but right now I'm cooking and have no time please say if the first part is right and the second part will be much appreciated!
Answers
Part A is correct. We have x+15 as the length and x+3 as the width. Convention usually has the width be the smaller of the two.
------------------
Part B will have you replace x with 8 and simplify
length = x+15 = 8+15 = 23
width = x+3 = 8+3 = 11
the rectangle is 23 yards by 11 yards, so the area is 23*11 = 253 square yards
Answer:
Below
Step-by-step explanation:
As we see the area is expressed as second degree polynomial
We have already a side wich is (x+15)
● x^2 +18x + 45 = w × (x+15)
● w = (x^2 +18x+45)/(x+15)
Using the eucledian division we get:
● w = x+3
Since x^2 +18x +45 = (x+15) × (x+3)
So your answer was right
■■■■■■■■■■■■■■■■■■■■■■■■■■
Let's calculate the dimensions if x= 8 yards
● the length
x+15 = 8+15 = 23 yards
● the width
x+3 = 8 + 3 = 11 yards
● the area
(x+15)×(x+3) = 23 × 11 = 253 yards^2
Liam tried to define a translation. - Point A maps to point A' - Every point P maps to point P' such that PP' is parallel to AA' and points in the same direction as AA' Which counterexample shows that Liam's definition does not fully define a translation?
Answers
Answer:
B
Step-by-step explanation:
This is the correct answer.
From The diagrams shown here, the option that does not fully define a translation is B.
What is a translation in mathematics?
In mathematics, this is another word for a transformation. What the translation does is that it helps to move a shape in different ways without altering the appearance of the shape.
The translation in this question is option B given the definition that we have above.
Read more on translation here: https://brainly.com/question/1046778
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Find mPRˆ(arc). A. 115 B. 95 C. 125 D. 100
Answers
Answer:
D. 100°
Step-by-step explanation:
Refer to picture attached
Lines QP and QR are tangent to radius of circle.
Triangles ΔQPO and ΔQRO are right triangles and line QO bisects angles of ∠PQR and ∠POR.
So as per sum of angles in right triangle, we have:
1/2∠PQR + 1/2∠POR = 90°1/2(81x-1)° + 1/2(100x)° = 90°(90.5x)°= 90.5°x= 1°Then:
mPR(arc)= (100x)°= 100*1°= 100°Correct answer choice is D. 100°
Nine and one-half less than four and one-half times a number is greater than 62.5. Which of the following represents the solution set of this problem?
(16, positive infinity)
(Negative 16, positive infinity)
(Negative infinity, 16)
(Negative infinity, Negative 16)
Answers
Answer:
{16, +infinity}
Step-by-step explanation:
Represent the number with n
Required
Find the solution set
From the question, we have that;
4½n - 9½ > 62.5
Convert all numbers to decimal
4.5n - 9.5 > 62.5
Add 9.5 to both sides
4.5n - 9.5 + 9.5 > 62.5 + 9.5
4.5n > 72
Multiply both sides by 2
2(4.5n) > 72 * 2
9n > 144
Multiply both sides by ⅑
⅑ * 9n > 144 * ⅑
n > 16
This implies that n ranges to infinity from positive 16;
Hence, the correct answer is {16, +infinity}
A cylinder has a height of 4.5 cm and a diameter of 1.5 cm. What is the surface area of the cylinder in square centimeters? Use 3.14 for pi. A.21.2 B.24.7 C.7.9 D.31.8
Answers
Answer:
A = 56.5cm²
Step-by-step explanation:
r = 1.5cm
h = 4.5cm
A=2πrh+2πr2
A = 2πr(h+r)
A = 2 x 3.14 x 1.5 x ( 4.5 + 1.5 )
A = 56.62cm²
[tex] \large{ \underline{ \underline{ \bf{ \red{Given}}}}}[/tex]
Height of the cylinder = 4.5 cmDiameter of the cylinder = 1.5 cmConsider π = 3.14[tex] \large{ \underline{ \underline{ \bf{ \purple{To \: find}}}}}[/tex]
Surface area of the cylinder in cm²?[tex] \large{ \underline{ \underline{ \bf{ \green{Now, \: What \: to \: do?}}}}}[/tex]
For solving this question, we should know how to calculate the surface area of cylinder i.e Total surface are of cylinder = 2πr(r + h)
Where, r = radius of the cylinder and h is the height of the cylinder.
[tex] \large{ \bf{ \underline{ \underline{ \blue{Solution}}}}}[/tex]
We are provided with,
h = 4.5 cmd = 1.5 cmThen, Radius = 1.5 cm / 2
By using formula,
⇛ 2πr(r + h)
⇛ 2 × 3.14 × 1.5/2 (1.5/2 + 4.5) cm²
⇛ 2 × 3.14 × 3/4( 5.25) cm²
⇛ 24.7275 cm²
❇ Option B
✤ TSA of the cylinder = 24.7275 cm²
━━━━━━━━━━━━━━━━━━━━
Find the length of MK¯¯¯¯¯¯ A. 7 B. 47 C. 19 D. 34
Answers
Answer:
19
Step-by-step explanation:
JH = 47 (70 - 23)
HM = 23
MK = 19 (42 - 23)
KU = 34 (81 - 47)
UC = 7 (47 - 40)
CN = 40
Answer:
19
Step-by-step explanation:
HM + MK = HK
23 + MK = 42
Subtract 23
MK = 42-23
MK =19
i need to know what the answer is!?
Answers
Answer:
2
Step-by-step explanation:
Use PEMDAS
First simplify the exponent (9)
Next multiply 5 and 3 (15)
Now add 15 and 15 (30)
Add 9 and 6 (15)
Lastly simply 30 by 15 (2)
Answer:
[tex]\boxed{A. 2}[/tex]
Step-by-step explanation:
Hey there!
Well we first need to solve the top part.
15 + 5 * 3
5*3 = 15
15 + 15 = 30
3^2 + 6
3*3 = 9
9+6 = 15
Now we have 30 ÷ 15 = 2.
Hope this helps :)
In a Euler diagram, “No X are Y” would be represented how?
Answers
Answer: Two separated circles, one called X and the other called Y.
(so there is no element of the set X that is also in the set Y)
Step-by-step explanation:
"No X are Y"
This means that there is not a single element in the set X that is also in the set Y.
So in an Euler diagram, you can represent this as two circles, one called Y and other called X, where the circles do not intersect or touch at any point.
This particular case is represented similarly to how you would represent it in a Venn diagram
system of equations. Think of a real-world example where you would need
to solve using a system of equations. Write two or three sentences
describing your example. Include the equations in your description, but do
not solve the system. That will be left to your classmates. helppppp
What is the solution to -5 + z = -12 A. z = -17 B. z = -7 C. z = 7 D. z = 17
Answers
Answer: -7
Step-by-step explanation:
What will come in the circle
I will even rate who ever answer
And give brainliest
Answers
Answer:
1st circle: 1.25
Second circle: 2
Step-by-step explanation:
We can use the cross product property here to find the value of what's in the circles.
Let's first look at the first two fractions.
[tex]\frac{x}{5} = \frac{1}{4}[/tex]
We can multiply the cross values and divide by the number that is diagonal to the variable.
[tex]5\cdot1 = 5\\5\div4 = 1.25[/tex]
So 1.25 goes in the first circle.
Now let's look at the last two circles and use the same property to find the missing value.
[tex]\frac{1}{4} = \frac{0.5}{x}\\ 4\cdot0.5 = 2\\2\div1 = 2[/tex]
So 2 goes in the second circle.
Hope this helped!
Answer:
x = 5/4
Step-by-step explanation:
Use the variable 'x' instead of 'the circle.' Then:
x 1
----- = ------
5 4
Cross-multiplying, we get
4x = 5, and so x = 5/4
Please help me with this!!!
Answers
Answer:
(f•g)(2)=3 and (g•f)(6)=7
Step-by-step explanation:
look at the tables
where x is equal to both 2 and 7 is where you will find your answer
Hope this helps you!
Which of the following is a graph of f(x) =square root of x +5
Answers
Answer:
Step-by-step explanation:
You didn't include any graphs, so I can't tell you which one it is. However, the graph of [tex]f(x)=\sqrt{x+5}[/tex] looks like this:
Hope this helps!
The graph of the function [tex]\rm f(x) = \sqrt{x+5}[/tex] is attached below and this can be determined by using the rules of transformation.
Given :
[tex]\rm f(x) = \sqrt{x+5}[/tex]
The following steps can be used in order to sketch the graph [tex]\rm f(x) = \sqrt{x+5}[/tex]:
Step 1 - The rules of transformation can be used in order to sketch the graph [tex]\rm f(x) = \sqrt{x+5}[/tex].
Step 2 - First draw the graph of [tex]\sqrt{x}[/tex] which is in the shape of a parabola.
Step 3 - Now, translate the graph in the left direction, So the function of the graph obtained is [tex]\rm f(x) = \sqrt{x+5}[/tex].
The graph of the function [tex]\rm f(x) = \sqrt{x+5}[/tex] is attached below.
For more information, refer to the link given below:
https://brainly.com/question/14375099
PLS HELP WILL GIVE BRAINLIEST
Answers
Explanation: none of them logically makes any sense in that form
please help real quick
Answers
Answer:
B. 945 m^3
Step-by-step explanation:
We just need to find the volume of the big box and the small box and find the difference.
To find the volume of a box, we multiply length, width, and height
Big box:
15.3x7x10=1071
1071
Small box:
4.2x3x10=126
126
1071-126=945
945 m^3
Answer:
b
Step-by-step explanation:
What is the probability of rolling a number less than three on a six-sided die?
Answers
Answer: The probability would be 1/3.
Step-by-step explanation:
Answer:
1/3
Step-by-step explanation:
Only '1' and '2' are less than '3' on a 6-sided die.
Thus, only 2 out of 6 outcomes are of interest.
The probability of rolling a number less than three on a six-sided die is therefore 1/3.
Select the correct answer from each drop-down menu.
35
30
25
Number of Roses
20
15
10
5
0
2
1
3
4
5
X
Number of Plants
According to the graph, the relationship between the number of rose plants and the number of roses is
Answers
Answer:
I think it is b
Step-by-step explanation:
Write the equation for the following table:
X. Y.
0 3
1 7
2 11
3 15
Answers
Answer:
[tex] y = 4x + 3 [/tex]
Step-by-step explanation:
The equation of the table of values given can be written as [tex] y = 4x + 3 [/tex] .
When x = 0,
[tex] y = 4(0) + 3 [/tex]
[tex] y = 0 + 3 = 3[/tex] this corresponds with what we have in the table above.
Let's try another.
When x = 2,
[tex] y = 4(2) + 3 [/tex]
[tex] y = 8 + 3 [/tex]
[tex] y = 11 [/tex]
This also corresponds with what we have in the table.
Therefore, the equation of the table given is [tex] y = 4x + 3 [/tex] .
A bin contains seven red chips, nine green chips, three yellow chips, and six blue chips. Find each probability. drawing a yellow chip, replacing it, and choosing a blue chip.
Answers
This rule states that to find the intersection of two events, multiply them together.
First find the probability of drawing a yellow chip. Do this by creating a fraction.
Probability of drawing a yellow chip:
3 <— 3 yellow chips
—
25 <— 25 total chips
Then find the probability of drawing a blue chip:
6 <— 6 blue chips
—
25 (still 25 as you put the yellow chip back in)
Now that we have the two probabilities multiply them together.
3/25 * 6/25 = 18/625 = about 2.8% chance
The probability of drawing a yellow chip, replacing it, and choosing a blue chip will be 18/625.
What is probability?Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.
A bin contains seven red chips, nine green chips, three yellow chips, and six blue chips.
Then the total number of the event will be
Total event = 7 + 9 + 3 + 6
Total event = 25
The probability of getting a yellow chip will be
Favorable event = 3 {yellow chip}
Then the probability will be
P(Y) = 3 / 25
The probability of getting a blue chip will be
Favorable event = 6 {blue chip}
Then the probability will be
P(B) = 6 / 25
Then the probability of drawing a yellow chip, replacing it, and choosing a blue chip will be
P = P(Y) x P(B)
P = (3/25) x (6/25)
P = 18 / 625
The probability of drawing a yellow chip, replacing it, and choosing a blue chip will be 18/625.
More about the probability link is given below.
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the formula for a trapezoid is A= 1/2h(b1+b2) which equations are equivalent to the formula
Answers
Answer:
A=[tex]\frac{a+b}{2} (h)[/tex]
Step-by-step explanation:
Option first, option second, and option fourth are correct this expression is equivalent to the formula for a trapezoid.
What is a trapezoid?It is defined as the quadrilateral having four sides in which two sides are parallel to each other, it is a 2-dimensional geometry.
The options are:
h=2A/(b1+b2)b1=2A/h - b2b2= 2A/b1 - hb2= 2A/h - b1b1= 2A//b2 - hWe have a formula for finding the area of the trapezoid:
[tex]\rm A= \dfrac{1}{2}h(b_1+b_2)[/tex]
Make a subject h and solve for h:
[tex]\rm \dfrac{2A}{(b_1+b_2)}= h[/tex]
or
[tex]\rm h = \dfrac{2A}{(b_1+b_2)}[/tex]
[tex]\rm b_2 = \dfrac{2A}{h}- b_1[/tex]
[tex]\rm b_1 = \dfrac{2A}{h}- b_2[/tex]
Thus, option first, option second, and option fourth are correct this expression is equivalent to the formula for a trapezoid.
Learn more about the trapezoid here:
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One of the solutions of the system of equations shown in the graph has an x-value of -4. What is its corresponding integer y-value? -1 -3 0 3
Answers
Answer:
Solution: (-4,-3)
Step-by-step explanation:
We need to complete the solution set of given graph.
We are given two graph one straight line and one parabola. We can see in graph both intersect at two points.
At x=-4 and x=-1
We can easily find the value of y corresponding to the value of x using given graph.
At x=-4,
First we draw a vertical line at x=-4 and see where it cut graph. From that point draw a horizontal line and see where y-axis cut.
The value of at x=-4 would be -3
Please see the attachment and see the vertical and horizontal line.
Thus, The Solution is (-4,-3)
Find the number of four-digit numbers which are not divisible by 4?
PLEASE HELP ASAP!!!
Answers
Answer:
i dont see the numbers
Step-by-step explanation:
Answer:
6750
Step-by-step explanation:
The first four-digit number divisible by 4 is 1000.
The last four-digit number divisible by 4 is 9996.
Modeling this as an arithmetic sequence, the nth term is:
a = 1000 + 4(n − 1)
So the number of terms is:
9996 = 1000 + 4(n − 1)
8996 = 4(n − 1)
2249 = n − 1
n = 2250
There are 2250 four-digit numbers that are divisible by 4. Since there are a total of 9000 four-digit numbers, that means there are 6750 four-digit numbers that are NOT divisible by 4.
Find the hypotenuse and the shorter leg of a30°−60°−90° triangle, if the longer leg is 9 in.
Answers
Answer:
Since it's a 30-60-90 triangle, the hypotenuse should be
6 √ 3
and the short leg is
3 √ 3
Step-by-step explanation:
Ratio:
Short side: 1
Hypotenuse: 2
Long Side: √ 3
