Answer:
<A = 120degrees
<B = 80degrees
<C = 60degrees
<D = 100degrees
Step-by-step explanation:
For a cyclic quadrilateral, the sum of the adjacent angle of the quadrilateral are equal, hence;
<A + <C = 180
<B + <D = 180
Substitute the given values
4x+20+4y = 180
4x+4y =1 60
x + y = 40 ...1
Similarly;
3x+5+7y - 5 = 180
3x+7y = 180 ....2
Solving simultaneously
x + y = 40 ...1 .....* 3
3x+7y = 180 ....2 ...... *1
__________
3x + 3y = 120 ...1 .
3x+7y = 180 ....2
Subtract
3y - 7y = 120 - 180
-4y = -60
y = 15
Since x+y = 40
x + 15 = 40
x = 40 - 15
x = 25
<A = 4x+20
<A = 4(25)+20
<A = 120degrees
<C = 180 - <A
<C = 180 - 120
<C = 60degrees
<B = 3x+5
<B = 3(25)+5
<B = 80degrees
<D = 180 - <B
<D = 180 - 80
<D = 100degrees
Cassandra bought a tablecloth. The area of the tablecloth is 120 ft2. The width of the tablecloth is 10 feet. How long is it?
the answer is 12 hope this helps!!
6.
A. [tex]-\frac{1}{5}[/tex]
B. [tex]\frac{x1}{5}[/tex]
C. –5
D. 5
Answer:
[tex]\frac{1}{5}[/tex]
Step-by-step explanation:[tex]d=-1\frac{1}{5}-(-2) =-1\frac{1}{5}+2=\frac{1}{5}[/tex]
please answer 10-14, will give brainliest if correct
Answer:
10. No solutions -- Because 5 can't = 0
11. Infinite Solutions -- Because on both sides of the (=) there is a 10 and a B that (b) and be any # and it will still be =
12. No Solutions -- Because 8 can't = 2
13. One Solution -- Because something (-4) = 9 only one # will fit for x and that # is 13 because 13-4=9
14. Infinite Solutions -- Because both sides of the (=) there is 6z because (3+3) z = (6)z = 6z. and if you but any # for z they will always be =
Juana is measuring two pyramids whose base are isosceles right triangles. The second pyramid has the same height, but has 9 times the volume. What is the side length of its base
9514 1404 393
Answer:
3 times the smaller triangle base
Step-by-step explanation:
The volume is proportional to the height and to the area of the base.
If the height is unchanged, the larger pyramid must have a triangular base with an area that is 9 times the smaller base area.
Since the bases are similar, the area ratio is the square of the side length ratio. The side lengths of the larger base triangle must be √9 = 3 times the side lengths of the smaller base triangle.
URGENT! PLEASE HELP WITH THIS PROBLEMS.
Show two of the triangles below are similar. Include a similarity statement and show your work to support your statement (blurry numbers are both 8’s).
Answer:
Hypotenus property a2 +b2 =c2
In the diagram, x is a negative number. and it is closer to zero than y.y is a positive number. which expression must be negative
Answer:
you already click the answer
Step-by-step explanation:
Kimberly is a hostess at a restaurant a large party had a bill for 781.50 the restaurant adds a tip of 18% to the bill. Kimberly receives 8% of the tip and each server receives 1/5 of the remaining tip how much does each Sever earn
Answer:
$28.13
Step-by-step explanation:
B)
A fire marshal is determining the maximum occupancy of a school. The first step in doing so is to find the area of the building's floor. What is the area? 1,500 square yards 1,800 square yards 2,000 square yards 2,340 square yards
Answer:
a) 1,500 square yards
Step-by-step explanation:
you would do 30 times 20 which is 900. then you would do 50 times 9 which is 450. you would have to do that twice. then you would add 900 + 450 + 450 = 1,500
rate and like my answer plz.
hope this helped.
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Answer:
A 1500 Square yards
Step-by-step explanation:
right on edge
It’s not a or c help
Answer:
D if i'm wrong i'm so sorry
Step-by-step explanation:
Which equation represents a function?
Answer:
C represents a function
Which ordered pair describes the point (2, 5) after a translation of 2 units down and 3
units right?
A (0, 2)
B (5,3)
C (4,2)
D (4,8)
Given: ∠AOB is a central angle and ∠ACB is a circumscribed angle. Prove: △ACO ≅ △BCO Circle O is shown. Line segments A O and B O are radii. Tangents C B and C B intersect at point C outside of the circle. A line is drawn to connect points C and O. We are given that angle AOB is a central angle of circle O and that angle ACB is a circumscribed angle of circle O. We see that AO ≅ BO because . We also know that AC ≅ BC since . Using the reflexive property, we see that . Therefore, we conclude that △ACO is congruent to △BCO by the .
Answer:
all radii of the same circle are congruent
tangents to a circle that intersect are congruent
side CO is congruent to side CO
SSS congruency theorem
Step-by-step explanation:
The triangle △ACO ≅ △BCO are congruent to each other by SAS postulate.
Given: ∠AOB is a central angle and ∠ACB is a circumscribed angle.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
We know that the radius and the tangent are perpendicular to each other.
Then the angle ∠CAO and angle ∠CBO are of 90°.
We know that the tangent of the circle drawn from the point outside the circle will be 2, and these tangent are of equal length.
In triangle △ACO ≅ △BCO, we have
CO = CO (Common side)
∠CAO = ∠CBO = 90°
OA = OB (Radius)
Thus, the triangle △ACO ≅ △BCO are congruent to each other by SAS postulate.
More about the triangle link is given below.
https://brainly.com/question/25813512
#SPJ2
At the grocery store, 1 pound of deli turkey costs $6.20. Bernice orders 0.75 pounds of deli turkey. How much will Bernice pay for her order before taxes?
Answer:
Hello!
Since 1 pound of deli turkey cost $6.20, 0.75 pound of turkey would cost $4.65. So it would be $1.55 per 0.25 pound of deli turkey. Hope this helps.
Step-by-step explanation:
In the equation y = -x + 7 what is the value of m
Explain how to use a number line to find the sum 7 + −2.
Step-by-step explanation:
start at 7 on the number line. move to the left (because the value is negative) 2 jumps. you will land on 5.
Answer: 5
Step-by-step explanation:
Usually you would just do 7+-2 which is also 7-2 which equals 5 but since it's a number line you do this
You would locate 7 on the number line and do the same for -2
Once done, you would take the distance 2 is from 0 and push 7 there(basically moving it to 5) and that would be how you would use a number line to find the sum of 7 + -2
Now if the 2 was positive, this would be different and you would add the distance making it 9 but since it's negative you push it towards 0 which makes it 5
I hope this helps!
In right △ABC altitude overlineBD is drawn to hypotenuse overline{AC} If AD = 5 and BC = 2√ 21, find DC, BD, and ABAB.
Answer:
[tex]\overline {DC}[/tex] = 7
[tex]\overline {BD}[/tex] = √35
[tex]\overline {AB}[/tex] = 2·√15
Step-by-step explanation:
Please find attached the drawing of right triangle ABC created with MS Visio
Let 'x' represent [tex]\overline {BD}[/tex] let 'y' represent [tex]\overline {DC}[/tex], and let 'z' represent [tex]\overline {AB}[/tex], we get;
5² + x² = z²...(1)
x² + y² = (2·√21)² = 84
x² + y² = 84...(2)
84 + z² = (5 + y)²...(3)
From equation (1), we have;
x² = z² - 5²...(4)
From equation (2), and equation (4), we have;
x² + y² = 84 = (z² - 5²) + y² = 84
∴ z² = 84 - y² + 5² = 109 - y²
z² = 109 - y²...(5)
From equation (3), and equation (5), we have;
84 + z² = (5 + y)² = 84 + (109 - y²) = (5 + y)²
84 + (109 - y²) = (5 + y)²
(5 + y)² - (84 + (109 - y²)) = 0
2·y² + 10·y - 168 = 0
y² + 5·y - 84 = 0
y = (-5 ± √(5² - 4 × 1 × (-84)))/(2 × 1)
y = 7, or y = -12
We note that 'y' is a natural number, therefore, the correct option of the two options is y = 7
y = [tex]\overline {DC}[/tex] = 7
From equation (2), we have;
x² + y² = 84
x² = 84 - y² = 84 - 7² = 35
x = √35
x = [tex]\overline {BD}[/tex] = √35
z² = 109 - y²
∴ z² = 109 - 7² = 60
z = √60 = 2·√15
z = 2·√15
z = [tex]\overline {AB}[/tex] = 2·√15.
Jonah and Graham are working together. Jonah claims that (x+y)^2 = x^2+y^2. Graham is sure Jonah is wrong, but he cannot figure out how to show it. a.) Help Graham find as many ways as poissible to convince Jonah that he is incorrect. How can he rewrite (x+y)^2 correctly?
Answer:
Here is what I got hope it helps!!!!!!!
Step-by-step explanation:
Equivalent expressions are expressions with the same value.
The proper way to rewrite the equation is: [tex]\mathbf{(x + y)^2 = x^2 + 2xy + y^2 }[/tex]
Jonah's equation is given as:
[tex]\mathbf{(x + y)^2 = x^2 + y^2}[/tex]
To convince Jonah that Jonah's equation is wrong, Graham can do any of the following
Assume values for x and yExpand the equationAssume value for x and y
Let x = 2 and y = 4
[tex]\mathbf{(2 + 4)^2 = 2^2 + 4^2}[/tex]
[tex]\mathbf{36 = 20}[/tex]
The above equation is false.
So, it means that: [tex]\mathbf{(x + y)^2 \ne x^2 + y^2}[/tex]
Expand the equation
We have:
[tex]\mathbf{(x + y)^2 = x^2 + y^2}[/tex]
Open the bracket
[tex]\mathbf{x^2 + 2xy + y^2 = x^2 + y^2}[/tex]
Cancel out common terms
[tex]\mathbf{2xy = 0}[/tex]
The above equation is false.
So, it means that: [tex]\mathbf{(x + y)^2 \ne x^2 + y^2}[/tex]
The proper way to rewrite the equation is:
[tex]\mathbf{(x + y)^2 = x^2 + 2xy + y^2 }[/tex]
Read more about equivalent expressions at:
https://brainly.com/question/21213498
Help me with this please!!!!!!!
Answer:
16.3ft
Step-by-step explanation:
A bakery buys a large bag of sugar that has 34 cups. They use 10 cups to make some cookies. They use the rest of the bag to make 144 giant muffins. Their customers want to know how much sugar is in each muffin.
Answer:
there would be 1 ÷ 6 sugar in each month
Step-by-step explanation:
The computation of the customers that want to know the sugar in each muffin is shown below
Here we assume the sugar in each muffin be x
Now there is 30 cups and 10 cups should be used for making some cookies
And, the rest would be use for making 144 gaint muffins
So, the equation that should be used is
10 + 144x = 34
144x = 24
x = 1 ÷ 6
So there would be 1 ÷ 6 sugar in each month
Giving brainlist to whoever answers
Answer:
9/24
Step-by-step explanation:
8rs - 8s= 16p solve for r.
can someone please help/explain?
Please help fast how to find missing numbers
Answer:
Step-by-step explanation:
Help I don’t know how to do this
Answer:
y = 140°
Step-by-step explanation:
we know that sum of two opposite interior angles are equal to one exterior
=> y = 120° + 20°
=> y = 140°
hope it helps
A larger number is double the sum of 3 and a smaller number. The larger number is 2 less than 3 times the smaller number. If y represents the larger number and x represents the smaller number, which equations model the situation? Check all that apply.
Answer:
y = 3x - 2
3x - y = 2
y = 2(x + 3)
Step-by-step explanation:
y = the larger number
x = the smaller number
A larger number is double the sum of 3 and a smaller number
y = 2(x + 3)
y = 6 + 2x
The larger number is 2 less than 3 times the smaller number.
y = 3x - 2
Make -2 the subject
y - 3x = -2
Make 2 the subject
y = 3x - 2
y - 3x = -2
(y - 3x) * -1 = -2 * -1
-y + 3x = 2
3x - y = 2
The answers:
y = 3x - 2
3x - y = 2
y = 2(x + 3)
I will make brainliest
Answer:
81.64
Step-by-step explanation:
formula for volume of a cylinder is pi times radius squared times height
the radius here is 2, and the height is 6.5
plug the numbers into the formula and you get pi(2^2)(6.5), which is 81.64
please help me answer this
Answer:
Angle 3 is 113°
Step-by-step explanation:
Angles 2 & 3 is supplementary, so it equals 180°. Subtract 67 from 180 and you get 113. DUH.
Good Luck!!
Answer:
113°
Step-by-step explanation:
6 & 2 make a 180 ° angle
180-67 = 113
113° = angle 6
angle 6 is equivalent to angle 3
What is the area of this figure? Enter your answer in the box.
Answer:
54 units²Step-by-step explanation:
Split the figure as pictured and add up the areas of each section.
Triangles:
1/2(3*2 + 1*6 + 2*6) = 12 units²Rectangle:
7*6 = 42 units²Total area:
12 + 42 = 54 units²This is my third time asking for helpppppppppp
Answer:
The new shape will be like the one that i have drawn for you , i think .
Step-by-step explanation:
add two ( to base* from both sides of it * )
delete one ( from hights )
Hope it was useful ;)
x = 4 and y = 3.
3x 2 + 5y
A. 27
B. 31
C. 63
D. 159
Answer:
39
Step-by-step explanation:
I did the math
94% of salmon pass through a single dam unharmed. By what percent does the number of salmon decrease when passing through a single dam?
Answer:
6%
Step-by-step explanation:
Answer:
They decrease by 6%
Step-by-step explanation:
100%-94%=6%