Answers
Answer:
The two column proof is presented as follows;
Step [tex]{}[/tex] Statement Reason
1 [tex]{}[/tex] [tex]\overline {AC}[/tex] ≅ [tex]\overline {BD}[/tex] Given
[tex]{}[/tex] ∠CAB ≅ ∠DBA
2 [tex]{}[/tex] [tex]\overline {AB}[/tex] ≅ [tex]\overline {AB}[/tex] Reflexive property
3 [tex]{}[/tex] ΔABC ≅ ΔBAD SAS rule of congruency
Step-by-step explanation:
Given that we have;
Segment [tex]\overline {AC}[/tex] of ΔABC being congruent to (≅) segment [tex]\overline {BD}[/tex] on ΔBAD and angle ∠CAB on ΔABC is congruent to angle ∠DBA on ΔBAD, and also that the two triangles share a common side, which is segment [tex]\overline {AB}[/tex], we have;
Segment [tex]\overline {AB}[/tex] is congruent to itself by reflexive property, therefore;
Two sides and an included angle on ΔABC are congruent to the corresponding two sides and an included angle on ΔBAD, which by Side-Angle-Side, SAS, rule of congruency, ΔABC is congruent to ΔBAD
Related Questions
I'll give branliest! please help!!
Answers
Answer:
Step-by-step explanation:
So we know angles A and B add up to 180 degrees.
This gives us x+2 + 2x+4
We can simplify this to 3x+6 = 180
3x = 174
x=58
Now we know value of X, we can use it to find A's angle
Since, a = x + 2
a = 60
Name three deficiency diseases associated with diet and state their causes
Answers
Answer:
Iron deficiency, hypoglycemia, and scurvy.
Step-by-step explanation:
Iron deficiency is the lack of iron in the blood, usually caused by blood loss. Because the body doesn't produce iron, people need to consume items with iron to rise up the amount of iron.
Hypoglycemia is the lack of blood sugar (known as glucose), people who are diabetic or drink excessive alcohol can have hypoglycemia. People would have to consume more glucose or take insulin shots to get the amount back to normal.
Scurvy is caused by the lack of Vitamin C (found in fruits and vegetables) , usually within 3 months.
The screen at Dallas' AT&T Stadium is 175 feet wide. A movie theatre screen with
similar dimensions is 40 feet wide with a screen area of 896 Ft. What is the area of
the screen at AT&T Stadium? Round to the nearest square foot.
Answers
Answer:
17150 ft²
Step-by-step explanation:
Given the ratio of sides = a : b , then
ratio of areas = a² : b²
Here ratio of sides = 175 : 40 = 35 : 8 , then
ratio of areas = 35² : 8² = 1225 : 64
let x be the area of AT & T Stadium then by proportion
[tex]\frac{x}{1225}[/tex] = [tex]\frac{896}{64}[/tex] ( cross- multiply )
64x = 896 × 1225 = 1097600 ( divide both sides by 64 )
x = 17150
The AT & T screen has an area of 17150 ft²
PLEASE HELP: Click on the graph to choose the correct answer to the equation.
x + y > 0
(the ones with multiple are all separate I just couldn't attach all.)
Answers
Answer:
It's the third one, I hope so. y<1/2x
Step-by-step explanation:
I hope this helps. :)
If AD is 10 inches long BD is 6 inches long
Answers
Answer:
AB = 8 inches
Step-by-step explanation:
given :
AD = 10 inches
BD = 6 inches
AB = ?
using pythagoras theorem
a^2 + b^2 = c^2
BD^2 + AB^2 = AD^2
6^2 + AB^2 = 10^2
36 + AB^2 = 100
AB^2 = 100 - 36
AB^2 = 64
AB = [tex]\sqrt{64[/tex]
AB = 8
The length of the AB in the given triangle ADC such that A-B-C and DB ⊥ AC is equal to 8 inches.
In the figure of triangle ADC ,
DB is perpendicular to AC such that A- B- C.
Measure of angle CBD = 90 degrees
This implies,
As angle ABD and CBD are linear pair
⇒ Measure of angle CBD + Measure of ABD = 180°
⇒ 90° + Measure of ABD = 180°
⇒ Measure of ABD = 180° - 90°
⇒ Measure of ABD = 90°
Now triangle ABD is right angle triangle,
AD = 10 inches
BD = 6 inches
By applying Pythagoras theorem we have,
AB² + BD² = AD²
⇒ AB² = AD² - BD²
⇒ AB² = 10² - 6²
⇒ AB² = 100 -36
⇒ AB² = 64
⇒ AB = √64
⇒ AB = 8 inches
Therefore, the length of the AB is equal to 8 inches.
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A cylinder with a radius of 6cm and height of 15 cm has a cylindrical cut out of the
middle of it with a radius of 5 cm.
Find the volume of the cylinder that remains, rounded to the nearest whole number.
Answers
Answer:
[tex]V = 518cm^3[/tex]
Step-by-step explanation:
Given
[tex]h = 15cm[/tex]
[tex]R = 6cm[/tex]
[tex]r =5cm[/tex]
Required
The volume of the remaining cylinder
Before the cut-out, the cylinder has a volume (V) of:
[tex]V = \pi R^2h[/tex]
After the cut-out, the cylinder has a volume of:
[tex]V = \pi [R^2 -r^2]h[/tex]
So, we have:
[tex]V = 3.14* [6^2 -5^2]*15[/tex]
[tex]V = 3.14* [36 -25]*15[/tex]
[tex]V = 3.14* 11*15[/tex]
[tex]V = 518cm^3[/tex]
Dylan has a bank that sorts coins as they are dropped into it. A panel on the front displays the total number of coins inside as well as the total value of these coins. The panel shows 80 coins with a value of $16.25 inside of the bank.
Answers
Answer:
The equations
[tex]x + y = 80[/tex]
[tex]0.25x + 0.1y = 16.25[/tex]
The solution
55 dimes and 25 quarters
Step-by-step explanation:
Given
Let
[tex]x \to[/tex] quarters
[tex]y \to[/tex] dimes
[tex]Total = 80[/tex]
[tex]Worth = \$16.25[/tex]
Required
Set up a system of equation to calculate the number of each coin
The total coin of 80 implies that:
[tex]x + y = Total[/tex]
[tex]x + y = 80[/tex]
A dime = $0.1
A quarter = $0.25
So, the worth of the coin is:
[tex]0.25 * x + 0.1 * y = Worth[/tex]
[tex]0.25x + 0.1y = 16.25[/tex]
So, the equations are:
[tex]x + y = 80[/tex]
[tex]0.25x + 0.1y = 16.25[/tex]
Next, solve for x and y
Multiply the second equation by 4
[tex]0.25x + 0.1y = 16.25[/tex] by 4
[tex]x + 0.4y = 65[/tex]
Subtract from [tex]x + y = 80[/tex]
[tex]x- x + y - 0.4y = 80 - 65[/tex]
[tex]0.6y = 15[/tex]
Solve for y
[tex]y = 25[/tex]
We have:
[tex]x + y = 80[/tex]
[tex]x = 80 - y[/tex]
[tex]x = 80 - 25[/tex]
[tex]x = 55[/tex]
Hence, there are 55 dimes and 25 quarters
Please help me this is due in 5 mins!!!
Answers
Answer: Perimeter: 28 units
Area: 32 square units
Step-by-step explanation:
Answer:
Perimeter = 24
Area =32
Step-by-step explanation:
To find the perimeter, add up the number of outside edges
4+ 2+2+2+2+2+4+2+2+2+2+2 =24 units
To find the area, count the number of boxes in each row
4 + 4+ 8+8+4+4 = 32 units^2
ITS URGENT! PLEASE HELP!
Answers
Answer:
x = -3 b no answer is 1/27000
Step-by-step explanation:
Which function's graph has a period of 2?
O A. y = cos -
y = cos(x - 22
O B. y = 2 sinax
O C. y = 3cosx
O D. y = -4 sin 2x
Answers
Answer:
I BELIEVE ITS C {^_^}
Step-by-step explanation:
The trigonometric function y = 3cos(πx) has a period 2.
What are periodic functions?A periodic function has a range that is determined for a fixed interval and a domain that includes all real number values.
Any function that has a positive real integer p such that f (x + p) = f (x), with all x being real values, is said to be periodic.
a is the function's amplitude.
The function's wavelength is b.
The phase shift of a function is c.
We already know that y = cosx has a 2 period.
The period is calculated as T= 2π/b and if T = 2.
y = 3cosx
2=2π/b
b= 2π/2 = π.
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Help I’m stuck!!!! Solve the equation below for x. Enter your answer as a fraction in lowes
terms, using the slash mark (/) as the fraction bar. 4/21 + 2/9
X=
Answers
Answer:
26/63
Step-by-step explanation:
Try to make the denominators equal so that you can add them:
4(3)/21(3)= 12/63
2(7)/9(7)= 14/63
And now you add, which will give you:
12/63 + 14/63= 26/63
Given a quadratic function, y = ax + bx+c, what happens to the graph when "a" is positive?
a. the parabola opens down, the vertex is the C. the parabola opens up, the vertex is the
maximum value
maximum value
b. the parabola opens down, the vertex is the d. the parabola opens up, the vertex is the
minimum value
minimum value
Answers
Answer:
d
Step-by-step explanation:
it is opened up because the voeff of X^2 tetm is positive
If U = {x: X € N, 1 < × < 15)
A= {x:x is multiple of 2}
B = {x: x is multiple of 3
C = {x: x is multiple of 5)
verify the following
(a) A(BnB)=(AUB)(AUB)
(b) An(BUC)=(AnB)u(Ang)
(c) AU(BUC)=(AUB)U(AUC)
Answers
Answer:
Step-by-step explanation:
Given:
U = {x: X € N, 1 < × < 15) = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15}
A = {2,4,6,8,10,12,14}
B = {3,6,9,12,15}
C = {5,10,15}
(a) Verify A(BnB)=(AUB)(AUB)
A U (B n B)
= {2,4,6,8,10,12,14} U ( {3,6,9,12,15} n {3,6,9,12,15} )
= {2,4,6,8,10,12,14} U {3,6,9,12,15}
= {2,3,4,6,8,9,10,12,14,15}
( A U B) n (A U B)
= {2,3,4,6,8,9,10,12,14,15} n {2,3,4,6,8,9,10,12,14,15}
= {2,3,4,6,8,9,10,12,14,15}
Therefore
A U (B n B) = ( A U B) n (A U B)
verifies
(b) Verify An(BUC)=(AnB)u(AnC)
A n ( B U C)
= {2,4,6,8,10,12,14} n ( {3,6,9,12,15} U {5,10,15} )
= {2,4,6,8,10,12,14} n {3,5,6,9,10,12,15}
= {6,10,12}
( A n B ) U ( A n C )
= ( {2,4,6,8,10,12,14} n {3,6,9,12,15} ) U ( {2,4,6,8,10,12,14} n {5,10,15} )
= {6,12} U {10}
= {6,10,12}
Therefore
A n ( B U C) = ( A n B ) U ( A n C )
verifies
(c) Verify AU(BUC)=(AUB)U(AUC)
AU(BUC)
= {2,4,6,8,10,12,14}U{3,6,9,12,15}U{5,10,15}
= {2,3,4,5,6,8,9,10,12,14,15}
(AUB)U(AUC)
= ({2,4,6,8,10,12,14}{3,6,9,12,15})U({2,4,6,8,10,12,14}U{5,10,15})
= {2,3,4,6,8,9,10,12,14,15}U{2,4,5,6,8,10,12,14,15}
= {2,3,4,5,6,8,9,10,12,14,15}
Therefore
AU(BUC)=(AUB)U(AUC)
verifies
The theoretical probability of choosing Event A is 2
—
7
. What is the
theoretical probability of not choosing Event A?
Answers
Answer: [tex]\dfrac{5}{7}[/tex]
Step-by-step explanation:
Given
The theoretical probability of choosing an event A is [tex]\dfrac{2}{7}[/tex]
The sum of the probability of occuring and non-occuring of an event is always equal to 1.
So, the probability of non choosing Event A is
[tex]\Rightarrow 1-\dfrac{2}{7}\\\\\Rightarrow \dfrac{7-2}{7}\\\\\Rightarrow \dfrac{5}{7}[/tex]
Área de Cuadriláteros
¿Me pueden ayudar con esta tarea?
Answers
Answer:
I can't understand this language sorry
x³+y³=(x+y)(x² - xy +y²)
Answers
Answer:
__________________________________
➡️x3+y3 = (x+y)(x^2-xy+y^2)
--------------------
R.H.S
(x+y)(x^2-xy+y2)
=>x3-x^2y+xy^2+x^2y-y^2x+y3
NOW after cancelling we get :
=> x3+y3
-------------------
L.H.S
=> x3+y3
L.H.S. = R.H.S
Hence VERIFIED✔✔
_______________________________
Step-by-step explanation:
10 points to answer this question. Determin the numerical length of VW.
Answers
Answer:
9
Step-by-step explanation:
4x-7 + 3x = 5x -1
7x - 7 = 5x +1
2x = 8
x = 4
VW = 4x - 7
= 4(4) - 7
= 16-7
= 9
Which algebraic expression represents the phrase "four times a number"?
O4 + c
Oc-4
O 4-0
O 40
Answers
Answer:
O 40
Step-by-step explanation:
because if you are doing algebra the term for a number is a letter and instead of doing 4xO you substituted to 4O
What is the domain to this graph
Answers
Answer:
x > 0
Step-by-step explanation:
The domain of the graph are all the possible values of x. Since the graph never touches the negative part of the graph, x will always be greater than 0. Thus, x > 0 meaning x will be greater (not equal to) 0.
Name the marked angle in 2 different ways.
Answers
Answer:
angle TVU
Step-by-step explanation:
angle UVT
please mark as brainliest
Oliver earns an hourly wage, as shown in the graph. In addition to his hourly wage, he is eligible for bonuses. If he received a $100 bonus award for his performance and worked 20 hours, how much did he earn?
Answers
Oliver earns a total of $260.
What is Ratio?When the second number in the ordered pair, b, is not equal to 0, the ratio is expressed as a/b. An equation in which two ratios are made equal is known as a percentage.
Given, In the graph, Oliver is depicted as having hourly pay. He is qualified for bonuses in addition to his hourly pay. If he put in 20 hours of effort and received a $100 performance bonus. equation of this line:
y = kx +c
since this line goes through the origin point. Constant (c) will be zero.
At the point (1, 8 ) k = 8
Hence, Y = 8x
Because hours worked are 20
earning = 8 * 20 = 160
Total earnings = 100 + 160 = 260
Therefore, the Total money that Oliver earns is $260.
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Anyone knows how to do "Using Congruence Postulates," I need help with an equation, can someone show me step by step.
Answers
a chalkboard is 250 cm long and 60 cm wide what is the area of the chalkboard
Answers
Answer:
15000 cm^2
Step-by-step explanation:
Area is found by multiplying the length and width. 250 cm times 60 cm equals 15000 cm squared.
Step-by-step explanation:
by the given information it seems to be the chalkboard is rectangular so the area of rectangle is = length × breadth..
So, 250cm×60cm
=15,000cm² is the Area
100 POINTS!!!!
What is the value of 2 + (-2/3) ^2 ÷1/3 ?
16
3 1/3
-2
0
Answers
Answer:
10/3
Step-by-step explanation:
remember about right order
Check if the point (-3, -5) lies on the line y= 2x -1
Plzzzzz hurry
Answers
Answer:
no
Step-by-step explanation:
To determine if the point lies on the line, substitute x = - 3 into the equation and if the value obtained equals - 5 then it lies on the line.
y = 2(- 3) - 1 = - 6 - 1 = - 7 ≠ - 5
Then the point (- 3, - 5 ) is not on the line
Add the following numbers. -3 + 8 =
Answers
Since the 3 is negative you would technically subtract 8 (positive) by 3
What is the value for x?
69
(5x + 2)
Enter your answer in the box
(9y-3)
Answers
Answer:
[tex]5x + 2 \\ x = 5 - 2 \\ x = 3 \\ \\ 9y - 3 \\ y = 9 + 3 \\ y = 12[/tex]
If a tree cast a 3.5 foot shadow at the same time is 6 foot tall women cast a shadow measuring 13.8 feet what would be the height of the tree
Answers
Answer:
1.522 ft tall
Step-by-step explanation:
divide 13.8 by 6ft and you would get 2.3
the height of the object multiplied by 2.3 would get you the shadow so, to get the original height from the shadow, just divide by 2.3.
What transformation(s) were made to the original f(x) = x graph?
The function was stretched by
factor of 2
The function was shifted to the left 3 units
The function was reflected over the y-axis
The function was shifted upward 2 units
The function was shifted to downward 3 units
The function was reflected over the x-axis
The function was shifted to downward 2 units
The function was stretched by a factor of 0.5
Answers
help
PLEASE HEPP ME PLEASE
Answers
Answer:
Step-by-step explanation:
VOLUME...
1) π*r^2*h
π*(2.5)^2 *h
(π)*(2.5)^2* 6
= 117.8
2) π*r^2*h + 1/2 *[(4/3) · π · r3]
(π)*(3)^2* 3 + 1/2 *[(4/3) · π · 3^3]
84.8+ 56.5 = 141.41
3) (1/3) π*r^2*h
(1/3) π*3^2*h
3^2 + h^2 = 36
h = sqrt(27) = 5.1
(1/3) π*3^2*5.1
= 48.06
~~~~~~~~~~~~~~~~~~~~~~~~~~~
Height of 1/2 of glass #2
84.8+ 56.5 = 141.41
thus 1/2 of #2 = 70.5
70.5 - 56.6 = 14 (all of 1/2 sphere filled plus 14 into cylinder)
14/[(π)*(3)^2* 3]= .16 of the cylinder... 3*(0.16) = .48
total height = 3.48
