Answers
Figure 1 (Top left)
△UVS ≅ △EON
Figure 2 (Bottom left)
△GHO ≅ △CAT
Figure 3 (Top right)
△ACB ≅ △EFD
Figure 4 (Bottom right)
△PRQ ≅ △VWX
Reason:
In Angle-Side-Angle congruence axiom, the congruent side must be included in between the 2 congruent angles [the reason is the same for all the above figures].
Hope it helps ⚜
# Figure 1
△UVS ≅ △EON [tex]\bold\green{[congruent \: triangle]}[/tex]
# Figure 2
△GHO ≅ △CAT [tex]\bold\green{[congruent \: triangle]}[/tex]
# Figure 3
△ACB ≅ △EFD [tex]\bold\green{[congruent \: triangle]}[/tex]
# Figure 4
△PRQ ≅ △VWX [tex]\bold\green{[congruent \: triangle]}[/tex]
Related Questions
Can someone please help me with number 2 please I’ll love you forever ;)
Answers
Step-by-step explanation:
the first question
x²+x+5
when x is -4
(-4)²+(-4)+5
16-4+5
12+5
17
hope this was helpful
Please Help! Due tonight! Solve the triangle. Round to nearest tenth, if necessary.
Answers
Answer:
[tex]\displaystyle 33,8 ≈ b \\ 55,1 ≈ a \\ 35° = m∠B[/tex]
Step-by-step explanation:
We will be using the Law of Sines to find edges b and a one at a time, therefore we will use the given variables in the formulas:
Solving for Angles:
[tex]\displaystyle \frac{sin∠C}{c} = \frac{sin∠B}{b} = \frac{sin∠A}{a}[/tex]
**Use [tex]\displaystyle arcsin\:or\:sin^{-1}[/tex]in your solution or you will throw the result off!
Solving for Edges:
[tex]\displaystyle \frac{c}{sin∠C} = \frac{b}{sin∠B} = \frac{a}{sin∠A}[/tex]
__________________________________________________________
[tex]\displaystyle \frac{33}{sin\:34} = \frac{b}{sin\:35} \hookrightarrow \frac{33sin\:35}{sin\:34} = b \hookrightarrow 33,848824408... = b \\ \\ 33,8 ≈ b[/tex]
We will now define edge a:
[tex]\displaystyle \frac{33}{sin\:34} = \frac{a}{sin\:111} \hookrightarrow \frac{33sin\:111}{sin\:34} = a \hookrightarrow 55,093964682... = a \\ \\ 55,1 ≈ a[/tex]
This triangle is now deemed solved.
***The fact that you solved for the [tex]\displaystyle m∠B[/tex]tells me that you understood what to when it comes to the interior angles of triangles, so I did not have to cover that. Good wourk citisen!
I am delighted to assist you at any time. If you have further questions though, comment them and I will do my very best to answer them.
A computer screen has a width of 15 inches and a height of 11 inches. Approximately what is the length of the screens diagonal?
A) 10.2 inches
B) 13.0 inches
C) 18.6 inches
D) 26.0 inches
Answers
Answer:
it would be 18.6 inches because the diaganol across a screen is more than the width by a little bit
Triangle ABC is isosceles. It is reflected across the y- axis and then translated up 1 unit to form triangle ABC.
Answers
Answer: True, True, True
Step-by-step explanation:
A. True. Angles B and C are congruent, and since B' is congruent to B, by the transitive property, C is congruent to B', and thus has the same measure.
B. True. AB>BC, and the rigid motions won't change the side lengths.
C. True for the same reason in B.
If B varies directly to C and inversely to the cube of D, and B = 5 when C = 2 and D = 1, find B when C = 4 and D = 2
Answers
Answer:
5/4
Step-by-step explanation:
B = kC/D³
Given B = 5, C = 2, D = 1
so 5 = k(2)/1³ = 2k, k = 5/2 = 2.5
B = 2.5C/D³
when C = 4, D = 2
B = 2.5 * 4/2³ = 10/8 = 5/4
A new machine with a purchase price of $107,000, with transportation costs of $12,000, installation costs of $5,000, and special acquisition fees of $6,000, would have a cost basis of
Answers
Answer:
the answer is =118000
Step-by-step explanation:
$107,000+5,000+6,000=118000 Its simple
I would really appreciate it if someone could help me out with this problem
Answers
Answer:
2018, 2004
Step-by-step explanation:
substitute C(t) for 1274 because it's the cost
1274=6(t-11)^2+980
6(t-11)^2=294
(t-11)^2=49
x-11=7 x-11=-7
x=18, x=4
Answer:
2018, and 2004.
Step-by-step explanation:
do the math "using Your heads".
please help asap!!!!!!
Answers
Answer:
Step-by-step explanation:
[tex]tan \ 32 = \dfrac{opposite \ side}{adjacent side}\\\\\\0.6 = \dfrac{GF}{HF}\\\\0.6=\dfrac{11}{HF}\\\\\\0.6*HF = 11\\\\HF = \dfrac{11}{0.6}[/tex]
HF = 18.3
[tex]Sin \ 32 =\dfrac{opposite \ side}{hypotenuse}\\\\\\0.5=\dfrac{GF}{GH}\\\\\\0.5=\dfrac{11}{GH}\\\\\\0.5*GH=11\\\\GH=\dfrac{11}{0.5}\\\\\\GH = 22[/tex]
∠G = 180 - (90 +32)
= 180 - 122
= 58°
Justify the congruence between each of the following pairs of triangle.
Answers
Answer:
[tex]\sf\blue{triangle \: \: is \: \: congruent \: \: } \\
\sf\huge{by \: \: S.A.S \: axiom \: \: }[/tex]
Answer:
Refer to the attachment for the labelling of the triangles.
In △ABD & △ACD,
AD = AD (common side)
∠A = ∠A (common angle)
AB = AC (equal pair of sides)
•°• △ABD ≅ △ACD (Single-Angle-Side congruence rule → SAS congruence rule)
Hope it helps ⚜
Need help please! Will give brainliest
Answers
Answer:
The answer is 1920 cm
Step-by-step explanation:
First we need to break up to two separate shapes. These shapes are both rectangles, one on the right and one on the left.
To find the volume of a Prism, the equation is V=lwh (length x width x height).
So by splitting up the shape we have two different equation
V= (10)(8)(14) =1120
V= (10)(8)(10)=800
Now we add 1120+800 to get the volume of the entire shape, which is 1920 cm.
Violet is planning to make 32 semiannual loan payments of $1580 dollars each. If her bank charges an annual interest rate of 3.8%, how much will the loan balance be 8 years from the end the loan? Answer = $ dollars.
Answers
Answer:
$21,623.70
Step-by-step explanation:
A suitable financial calculator can compute the beginning balance and the remaining balance for you. The attachments show a TI-Nspire calculator's TVM solver app being used to answer this question.
The first attachment shows the computation of the loan value. It is about $37,624.54.
The second attachment shows the computation of the remaining balance after 16 of the 32 semi-annual payments have been made.
The loan balance 8 years from the end of the loan will be about $21,623.70.
MARKINF BRAINLIEST AND 50 POINTS6. The Gonzales family has three children.
On summer break, they went to an amusement
park. They bought 3 child tickets for $18.50
and 2 adult tickets. If they spent a total of
$ 104.50, how much was the price of each
adult ticket?
PLEASE WRITE THE EQUATION AND SOLUTION!!!!
Answers
Answer:
the price of each adult ticket is $43
Step-by-step explanation:
Let's say the price for 1 adult ticket is x and the price for 1 child ticket is y
3y = 18.5 and 3y + 2x = 104.50
2x + 18.5 = 104.50
2x = 104.5 - 18.50
2x = 86
x = [tex]\frac{86}{2}[/tex]
x = 43
So the price for 1 adult ticket is $43
Answer:
Let's say the price for 1 adult ticket is x and price for 1 child ticket is y
3y = 18.5 and 3y + 2x = 104.5
<=> 2x + 18.5 = 104.5
<=> 2x = 104.5 - 18.5
<=> 2x = 86
<=> x = 86 / 2
<=> x = 43
So the price for 1 adult ticket is $43
Simplify the expression:
1+24432+21d+31d
Answers
Answer:
52d+24433 is the correct answer
Answer:
24433+52d
Step-by-step explanation:
Simplify by adding
John predicted that gas prices would rise 3.5% in the month of January. If gas prices start at $3.25, how much will the gas be if John is correct?
Answers
Answer:
$3.36
Step-by-step explanation:
to find out what the price is after an increase of 3.5%, set it as 103.5% of the original price and then we convert the percent to a decimal (divide by 100)
so:
$3.25 x 103.5% =
3.25 x 1.035 = $3.36
Answer:
$3.36
Step-by-step explanation:
0.11375(3.5% of $3.25) + 3.25 = 3.36375
round to the hundredth since it money and your answer is #3.36
) Express the number 482.073
Standard Form?
Answers
Answer:
It is already in standard form
Step-by-step explanation:
Four hundred eighty-two and seventy-three thousandths. = 482.073
It is already in standard form
Hope this helps!
Hey there!
482.073 is expressed in
Standard Form
The standard form of 482.073 is 482.073. (four hundred eighty-two point zero seven three)
I hope you find my answer helpful.
Good luck!
Have a great day!
[tex]\bf{StargazingWithJoy}[/tex]
The hypotenuse of a 30°-60°-90° triangle measures 8√3 inches. What is the length of the shorter leg?
Answers
Answer: 8 inches
Step-by-step explanation:
In a 30-60-90 triangle, the ratio of the short side to the long side is 1/sqrt(3).
Therefore the short side is the long side divided by sqrt(3).
So the short side = 8 sqrt(3)/sqrt(3) = 8 inches
what's the solution set of /x-1/=n
Answers
Answer:
n-1, -n+1
Step-by-step explanation:
| x - 1 | = n
so x-1 = n , -n
for x-1=n ; x= n+1
for x-1=-n ; x= -n+1
Using the completing the square method, find the vertex of the function f(x) = -2X² + 12x + 5 and indicate whether it is a minimum or a maximum and at what
point
Maximum at (-3,5)
O Minimum at (-3,5)
O Maximum at (3, 23)
O Minimum at (3, 23)
Answers
Answer:
maximum at (3,23)
Step-by-step explanation:
graphed it
someone help, please
Answers
Answer:
13/28
Step-by-step explanation:
26/(26 + 30) = 26/56 = 13/28
Write an explicit formula for an, the nth term
of the sequence 11, 2, -7
Answers
Answer:
b(n) = 15 - 7(n - 1)
Step-by-step explanation:
Answer:
aₙ = 11 - 9(n - 1)
Step-by-step explanation:
2 - 11 = (-7) - 2 = -9
So it is an arithmetic sequence
a₁ = 11
a₂ = 2 = 11 + (-9) = 11 + (2 - 1)*(-9)
a₃ = -7 = 2 + (-9) = 11 + (-9) + (-9) = 11 + (3 - 1)*(-9)
.....
aₙ = 11 + (n - 1) * (-9)
or
aₙ = 11 - 9(n - 1)
100 points!!!
Determine the solution to the system of equations graphed below and explain your reasoning in complete sentences.
Answers
Answer:
(1, 5)
Step-by-step explanation:
The solution to the system of equations is the point of intersection of the two lines. From inspection of the graph, the point of intersection is at (1, 5).
Proof
The solution to a system of equations is the point at which the two lines meet.
⇒ g(x) = f(x)
⇒ 3x + 2 = |x - 4| + 2
⇒ 3x = |x - 4|
⇒ 3x = x - 4 and 3x = -(x - 4)
⇒ 3x = x - 4
⇒ 2x = -4
⇒ x = -2
Inputting x = -2 into the 2 equations:
⇒ g(-2) = 3 · -2 + 2 = -4
⇒ f(-2) = |-2 - 4| + 2 = 8
Therefore, as the y-values are different, x = -2 is NOT a solution
⇒ 3x = -(x - 4)
⇒ 3x = 4 - x
⇒ 4x = 4
⇒ x = 1
Inputting x = 1 into the 2 equations:
⇒ g(1) = 3 · 1 + 2 = 5
⇒ f(1) = |1 - 4| + 2 = 5
Therefore, as the y-values are the same, x = 1 IS a solution
and the solution is (1, 5)
11) Tickets to a concert cost either $15 or
$20. A total of 300 tickets were sold and
the total receipts were $5300. How many
of each kind of ticket were sold.
Answers
Answer:
There were 140 tickets sold that cost $15 and 160 tickets sold that cost $20.
Step-by-step explanation:
To solve this problem, we should create a system of equations. Let's let the variable x represent the number of $15 tickets sold and let the variable y represent the number of $20 tickets sold. Using these variables, we can make the following equations:
x + y = 300
15x + 20y = 5300
To solve this equation, we can use substitution. Our first step in this case is solving the first equation for one variable; let's choose x.
x = 300 - y
Now, we can substitute this value for x into the second equation.
15(300-y) + 20y = 5300
Next we can distribute through the parentheses on the left side of the equation.
4500 - 15y + 20y = 5300
We can combine like terms on the left side of the equation to simplify.
4500 + 5y = 5300
We should then subtract 4500 from both sides of the equation.
5y = 800
Finally, we can divide both sides of the equation by 5.
y = 160
To solve for x, we can substitute this value for y into either of our original equations, but we should probably choose the first one for simplicity.
x + y = 300
x + 160 = 300
x = 140
Therefore, x = 140 and y = 160; this means that 140 $15 tickets were sold and 160 $20 tickets were sold.
Hope this helps!
GIVING BRAINILEST! Find the perimeter of the figure!
Answers
Solution:
Perimeter is the sum of length of all sides.
Perimeter = 13 + 10 + 14 + 10 + 15 = 62
A group of friends go ice skating. They purchase one group ticket to get in and then each person rents skates and buys a hot chocolate.
It costs
$
10
to purchase a group ticket to get into the skating rink.
It costs
$
4
per person to rent skates.
It costs
$
1.75
per person for hot chocolate.
How many friends go ice skating if they spend a total of
$
38.75
?
Answers
The number of friends that can go ice skating is 5.
What is the total number of friends that can go ice-skating?The total amount spent = cost of the group ticket + total cost of the hot chocolate + total cost of renting the skates
$38.75 = $10 + $4x + $1.75x
Where x represents the total number of friends.
In order to determine the total number of friends, take the following steps:
Combine similar terms
$38.75 - $10 = $4x + $1.75x
Add similar terms
$28.75 = $5.75x
Divide both sides of the equation by 3.75
x = 5
To learn more about division, please check: https://brainly.com/question/13281206
A school district signs a contract to purchase 50 of the electric typewriters (normally selling for $129.95) from ABC at a quantity discount of 18%. What price does the school district pay for each typewriter?
Answers
The price the school district pays for each typewriter is $106.56.
What is the price for each typewriter?A quantity discount is the discount given for bulk purchases. It reduces the purchase price of a good or service.
Total purchase price of the typewriters before the discount = (50 x 129.95) = 6,497.50
Total purchase price of the typewriters after the discount = (100 - 18) x 6,497.50
= $5,327.95
Purchase price of one typewriter = $5,327.95 / 50 = $106.56
To learn more about how to calculate discounts, please check: https://brainly.com/question/26061308
Find the length of the side marked with the variable x
Answers
Answer:
1.17219
Step-by-step explanation:
sin(23)=x/3
3 x sin(23)
PLEASEEE HELPPPP!!!
50 high school students were asked how many hours they study per day. The mean was 1.5 hours, with a standard deviation of 0.5 hours. Using a 5% level of significance, what could we claim about the mean study time of the entire population of high school students so that the hypothesis will fail to be rejected?
A. 1.3 hrs
B. 1.2 hrs
C. 1.6 hrs
D 1.7 hrs
Answers
Considering the desired result of the hypothesis test, we the closest mean time to 1.5 hours, hence the correct option is:
C. 1.6 hrs
What should be the mean?The closer the mean is to the sample mean, the less likely we are to reject the null hypothesis.
In this problem, the sample mean is of 1.5 hours, hence, the closest value, considering the absolute value of the difference, is of 1.6 hours, hence option C is correct.
More can be learned about the test of an hypothesis at https://brainly.com/question/16313918
Write the following numbers in words:
a. 48 973
b. 153 862
c. 903 036
d. 444 333
e. 16
Answers
b. one hundred fifty three thousand eight hundred sixty two
c. nine hundred three thousand thirty six
d. four hundred fourty four thousand three hundred thirty three
e. sixteen
What is the line’s slope?
Answers
Answer:
0
Step-by-step explanation:
it's straight
Answer:
0
Step-by-step explanation:
because it does not rise or fall so it has no slope.
Please mark brainlest
the product of 3 more than a number and 8 is 14
Answers
Answer:
x = -5/4
Step-by-step explanation:
"3 more than a number" is 3 + x
The product of 3+x and 8 is (3+x)(8)
Solve:
(3 + x)(8) = 1424 + 8x = 148x = -10x = -10/8 = -5/4-Chetan K
