Answers
The value of [tex]y[/tex] in the given figure, using the rule of angle sum property and linear pair will be [tex]65\\[/tex].
According to angle sum property, the sum of all the sides of a triangle will be [tex]180^o[/tex].
A linear pair is defined as two neighboring angles that sum up to 180° or two angles which result in a line or a straight angle when combined, or it can be said that the sum of linear pair is supplementary.
In the given figure,
∠[tex]x + 130^o = 180^o \ \ \ (linear pair)\\\x = 50^o[/tex]
Now, In triangle ABC, using angle sum property:
[tex]A+B+C= 180^o\\50^o + y + y = 180^o\\50^o + 2y = 180^o\\2y = 130^o\\y = 65^o\\[/tex]
Thus, the value of [tex]y\\[/tex] in the given triangle is [tex]65^o\\[/tex].
Learn more about linear pair here:
https://brainly.com/question/34190098
#SPJ4
The figure is added below.
Related Questions
evaluate ab for a = 2 3/4 and b = 4/5
Answers
So, you're multiplying 2[tex] \frac{3}{4} [/tex] to [tex] \frac{4}{5} [/tex].
But, the mixed number is best as a mixed number, so it becomes [tex] \frac{11}{4} [/tex]
So, this happens to become [tex] \frac{11*4}{4*5} [/tex], multiplying to [tex] \frac{44}{20} [/tex].
BUT, you need to simplify it!
The simplest form is [tex] \frac{11}{5} [/tex], which is your answer.
Have a nice day! ♪
What is the exact volume of the sphere?
A. 56.3¯π ft³
B. 274.625π ft³
C. 366.16¯π ft³
D. 1464.6¯π ft³
Answers
Answer:
366.16
Step-by-step explanation:
use the formula v=4/3r3
6.5 to the third power
multiply by 4/3
you get 366.16π ft³
Please answer the picture.
Answers
William gave 4 football cards to each of the 6 friends.Suppose he had 54 cards left. Write and solve an equation to find how many cards each friend a initially had.
Answers
T = 6(4) + 54
William had 78 at the start
Reply if you need more help!
Solve for x.
a) x=7.5 b) x=16 c) x=17.5 d) x=27.5
Answers
Note: This is done in the interior triangle as the angle will be equivalent to the other two angles.
Here's how you solve it:
You have to use the law of cosine for the interior triangle; the law of cosine is: c^2 = a^2 +b^2 - 2ab times cos (C)
Substitute each factor so that the equation now appears as so:
h^2 = 8^2 + 10^2 - 2(8)(10) times cos (80)
This will give you: h = 11.67
Now, you have to apply this to the law of sin which is a over sin(A) = b over sin (B) = c over sin (C). (Lowercase letters are the opposite side of uppercase angles.)
This will then give you:
11.67 over sin (80) = 8 over sin (S) = 10 over sin (T)
sin -1 ((8 times sin (80)) over 11.67) is equal to S
sin -1 ((10 times sin (80)0 over 11.67)) is equal to T
Because you now know the angles of S and T, you need to use the law of sin again.
t over sin (T) = s over sin (S)
t = 10 + x
s = 8 + 18 = 22
Thus, you need to substitute the variables to get this equation:
10 + x over sin (57.54) = 22 over sin (42.45)
x = 22 times sin (57.54) over sin (42.45) and next to this is -10
Thus, getting the answer of x = 17.50
Answer: x = 17.5
Step-by-step explanation:
You're using interior angles
Use the law of cosine: c^2 = a^2 +b^2 - 2ab times cos (C)
h^2 = 8^2 + 10^2 - 2(8)(10) times cos (80) so h = 11.67
11.67 over sin (80) = 8 over sin (S) = 10 over sin (T)
sin -1 ((8 times sin (80)) over 11.67) is equal to S
sin -1 ((10 times sin (80)0 over 11.67)) is equal to T
t over sin (T) = s over sin (S)
t = 10 + x
s = 8 + 18 = 22
10 + x over sin (57.54) = 22 over sin (42.45)
x = 22 times sin (57.54) over sin (42.45) and next to this is -10
the answer of x = 17.50
Hope this helps, have a BLESSED and wonderful day! :-)
-Cutiepatutie <3
PLEASE help!!! what is 4y + 12x= 24 in y intercept form????
Answers
Solve for y. Subtract 12x from both sides.
4y = 24 - 12x
Divide both sides by 4.
y = 6 - 3x
A rectangle is 12 feet long and 5 feet wide. If the length of the rectangle is increased by 25% and the width is decreased by 20%, what is the change in the area of the rectangle?
Answers
12*5 = 60
Now for the new triangle:
1.25(12) * (1-0.2)(5)
15 * 4 = 60
There is no change in the rectangle.
Find P(C|Y) from the information in the table.
To the nearest tenth, P(C|Y) =
Answers
[tex]\mathbb P(C\mid Y)=\dfrac{\mathbb P(C\cap Y)}{\mathbb P(Y)}[/tex]
and by the law of total probability,
[tex]\mathbb P(Y)=\mathbb P(Y\cap A)+\mathbb P(Y\cap B)+\mathbb P(Y\cap C)[/tex]
In other words, each cell in the grid left of and above the total column and row represents the joint probabilities (e.g. [tex]\mathbb P(X\cap A)=\dfrac{32}{146}[/tex]). So,
[tex]\mathbb P(C\mid Y)=\dfrac{15}{30}=\dfrac12=0.5[/tex]
Answer:0.5
Step-by-step explanation:
What is the value of X 56•
Answers
Some students in a school were surveyed to determine how many hours they study per night and their grade-point averages. The results are shown in the table.
If the data are entered into a regression calculator, what is the approximate y-intercept of the resulting regression line?
–1.76
–0.63
0.63
1.76
Answers
The equation is in slope intercept form y = mx+b
m = slope = 0.628
b = y intercept = 1.759
The value 1.759 rounds to 1.76 which is the answer
:)
The graph below represents which system of inequalities?
Option A
y > 2x − 3
y > −x − 3
Option B
y < 2x − 2
y < −x + 3
Option C
y ≤ 2x − 2
y > −x + 3
Option D
None of the above
Answers
Which table shows the relationship y=-3x+2?
Answers
Find the slope of the line that passes through each pair of points.
1. (5,2),(3,1)
2.(-7,4),(-5,0)
Answers
2. (0-4)/(-5-7) = (-4)/(-12) = 1/3
To find the slope you’d do the second y-value minus the first y-value over the second x-value minus the first x-value.
An ice cream cone has a diameter of 2 inches and a height of 5 inches. What is the volume of the ice cream cone? Round your answer to the nearest hundredth. (Use 3.14 for π.)
10.47 in.3
20.93 in.3
5.23 in.3
15.7 in.3
Answers
[volume of a cone]=(1/3)*pi*r²*h
for r=2/2---> 1 in
h=5 in
[volume of a cone]=(1/3)*pi*1²*5-----> 5.23 in³
the answer is
5.23 in.3
V = 1/3 x pi x r^2 x h
1/3 x 3.14 x 1^2 x 5
V = 5.2281
The volume is approximately 5.23 cubic inches.
A circular plate has circumference 21.4 inches. What is the area of this plate? Use 3.14 for pi.
Answers
Given a circle with a circumference of 21.4 inches, first calculate the radius using the circumference formula, then use the radius to calculate the circle's area, which results in approximately 36.29 square inches.
Explanation:This question involves determining the area of a circle given its circumference. The formula to calculate the circumference of a circle is C = 2πr, where C is the circumference, r is the radius, and π is a constant (approximated to 3.14). Given that the circumference is 21.4 inches, we can rearrange this formula to find the radius (r = C/2π), giving us a radius of approximately 3.4 inches.
Now, knowing the radius, we can use it to find the area using the formula for the area of a circle, which is A = πr². Plugging in the values, we find that the area is approximately 36.29 square inches.
Learn more about Circle's area here:https://brainly.com/question/28642423
#SPJ12
how far is the ship from the lighthouse?
Answers
a^2 + b^2 = x^2
so in this case,
d^2 = 8^2 + 6^2
d^2 = 64 + 36
d^2 = 100
d = square root of 100
d = 10 miles
I hope this helps :)
the greatest common factor gcf of 2 monomiald is 3x^2y. One of the monomials is 3x^4y . Which couod be the other monomial.
Answers
The reason this has to be is because of the GCF. Since 3 is part of the GCF, and the other monomial has a coefficient of 3, this means the missing monomial must be divisible by 3 as well.
Since x² is part of the GCF, the missing monomial must contain x². However, if it were to contain x³ or anything larger, the GCF would have x with a higher exponent.
The other monomial must have the factors of 3x^2y, with the possibility of having higher powers of y, but not lower, as this would change the GCF. An example of a compatible monomial with 3x^4y is 3x^2y^2.
Explanation:The question is asking for the other monomial given that the greatest common factor (GCF) of two monomials is 3x^2y and one of the monomials is 3x^4y. Since the GCF is the product of the lowest powers of common factors in the monomials, the other monomial must have at least the factors 3, x^2, and y to a certain power. It can have these factors to higher powers as well, but not to lower powers, since it would then alter the GCF.
An example of another monomial that could be paired with 3x^4y is 3x^2y^2, because it has the factors of the given GCF with potentially higher powers, without affecting the GCF. Therefore, any monomial of the form 3x^2y^n (where n is greater than or equal to 1) could be the other monomial.
the price for dinner in a resteraunt was $80. The customer paid an addition 7% meals tax and left a $15 tip. how much meals tax did the customer pay?
Answers
Final answer:
The customer paid a meal's tax of $5.60 on an $80 dinner, calculated by converting the 7% tax rate to a decimal (0.07) and multiplying it by the cost of the meal.
Explanation:
The question pertains to calculating the meal's tax that the customer paid when the price for dinner at a restaurant was $80 and the meal's tax rate was 7%. To calculate the meal's tax, we need to convert the percentage to a decimal and then multiply it by the total cost of the meal.
To do this:
Convert the percent to a decimal: 7% becomes 0.07.
Multiply this decimal by the cost of the meal: 0.07 × $80 = $5.60.
Therefore, the customer paid $5.60 in meal's tax.
A company is deciding which box to use for their merchandise. The first box measures 8 inches wide, 6.25 inches long, and 10.5 inches high. The second box measures 9 inches wide, 5.5 inches long, and 11.5 inches high. What is the separate surface areas of both boxes?
Answers
Need help with this one
Answers
What is the value of X 56•
Answers
The measure of angle x in the isosceles triangle is 68 degrees.
The correct option is 68°.
What is the measure of angle x?The figure in the image is an isosceles triangle.
An isosceles triangle is simply a triangle that has any two sides equal in length and and also two angles equal in measure.
From the diagram;
Since the triangle is an isosceles triangle:
Angle 1 = 56 degrees
Angle 2 = 56 dgerees
Angle 3 = x
Note that the sum of the interior angle of a triangle adds up to 180 degree.
Hence;
Angle 1 + Angle 2 + Angle 3 = 180
56 + 56 + x = 180
Solve for x
112 + x = 180
x = 180 - 112
x = 68 degrees
Therefore, x has a value of 68 degree.
Learn more about isosceles triangle here: https://brainly.com/question/28412104
#SPJ3
what type of transformation could be used to create a symmetric traffic sign
Answers
Which of the following best describes the symmetry of a trapezoid? Select all that apply.
a) point
b) line
c) plane
d) rotational
Answers
Answer: A.) Point.
Step-by-step explanation:
how to write standard form for: (please answer this question soon )
[tex]2x - x ^{2} = 1[/tex]
[tex] - x {}^{2} = 15[/tex]
[tex]4x { }^{2} = 12[/tex]
[tex]5 + x = 3x { }^{2} [/tex]
Answers
a) x² -2x +1 = 0
b) x² +15 = 0
c) 4x² -12 = 0
or, better, divide out the common factor of 4.
x² -3 = 0
d) 3x² -x -5 = 0
_____
Shown is the standard form for a single-variable second-degree equation. Form varies depending on the nature of the equation. Equations of conic sections have different standard forms, depending on the curve.
HELP ASAP!
The diagram below gives the dimensions of a swimming pool.
THESE ARE NOT ANSWERS!
(a) What is the total area of the swimming pool? Explain your reasoning.
(b) What is the perimeter of the swimming pool? Explain your reasoning.
Answers
Perimeter of rectangle = 2(36 + 20) = 112 ft
Area of semi-circle = 1/2πr^2 (r = 18/2 = 9, using π = 3.14)
= 1/2 x 3.14 x 9^2
= 142.87 ft^2
Perimeter of semi-circle = πd = 3.14 x 18 = 56.52 ft
(a) What is the total area of the swimming pool? Explain your reasoning.
area of the swimming pool = area of rectangle - area of semi-circle
area of the swimming pool = 720 ft^2 - 142.87 ft^2 = 577.13 ft^2
answer:
area of the swimming pool = 577.13 ft^2
--------------------------------------------------------------------------
(b) What is the perimeter of the swimming pool? Explain your reasoning.
perimeter of the swimming pool = perimeter of rectangle - perimeter of semi-circle
perimeter of the swimming pool = 112 ft - 56.52 ft = 55.48 ft
answer
perimeter of the swimming pool = 55.48 ft
Write 9x+35=-5y in Slope-Intercept form
Answers
y = ax + c
So:
-5y = 9x + 35
We need to isolate y, so divide both sides by -5:
y = - [tex] \frac{9}{5} [/tex]x - 7
To solve this problem, we need to remember that slope-intercept form is y = mx +b, where the variable m represents the slope of the line and the variable b represents the y-intercept of the equation. To put the above equation into slope-intercept form, we need to get the variable y to the left side of the equation and the variable x and any constants to the right side of the equation.
9x + 35 = -5y
First, we will begin by adding 5y to both sides of the equation so that the y term is on the left side of the equation.
5y + 9x + 35 = 0
Next, we should subtract 9x from both sides so that the x term is on the left side of the equation.
5y + 35 = -9x
After that, we should subtract 35 from both sides of the equation so that this constant moves to the right side of the equation.
5y = -9x - 35
Now we must divide both sides of the equation by 5 so that the variable y is completely alone on the left side of the equation.
y = -9/5x - 7
Therefore, your answer y = -9/5x -7.
Hope this helps!
The mean is 18.1
• The z-score for 13.0 is -1.7
What is the standard deviation for this data set?
Answers
The formula for a z-score is
z = (X-μ)/σ
Using our information, we have
-1.7 = (13-18.1)/σ
Multiplying both sides by σ,
-1.7σ = 13-18.1
-1.7σ = -5.1
Divide both sides by -1.7:
-1.7σ/-1.7 = -5.1/-1.7
σ = 3
What is likely to happen if a new aggregate demand curve moves to the right?
Answers
Answer:
Prices and output would rise, and the equilibrium point will change.
<3
Determine the factors of ax + ab + 2by + 2xy.
Answers
=a(x+b) + 2y(x+b) =(x+b)(a+2y)
ax + ab + 2by + 2xy = (x+b)(a+2y)
Answer: (x+b) (a+2y)
Step-by-step explanation:
ax+ab+2by+2xy
split the equatuion in half
1. ax+ab 2. 2by+2xy
gcf=a gcf=2y
ax/a=x 2by/2y= b
ab/a=b 2xy/2y= x
a(x+b) 2y(x+b)
Answer :(x+b)(a+2y)
Refer the diagram at the right. identify each angle pair as adjacent, vertical, or neither 7-12
Answers
Vertical angles are angles that are directly across from each other. They are the same angle. #8 and 9 are vertical angles.
#10 and 12 do not fit either of these descriptions so they are neither.