Answers
Finding x:
We know that the diagonals of a rhombus bisect its angles
So, since US is a diagonal of the given rhombus:
∠RUS = ∠TUS
10x - 23 = 3x + 19 [replacing the given values of the angles]
7x - 23 = 19 [subtracting 3x from both sides]
7x = 42 [adding 23 on both sides]
x = 6 [dividing both sides by 7]
Finding ∠RUT:
We can see that:
∠RUT = ∠RUS + ∠TUS
Since we are given the values of ∠RUS and ∠TUS:
∠RUT = (10x - 23) + (3x + 19)
∠RUT = 13x - 4
We know that x = 6:
∠RUT = 13(6)- 4
∠RUT = 74°
Related Questions
Two horses start a race at the same time. Horse A gallops at a steady rate of 32 feet per second and Horse B gallops at a steady rate of 28 feet per second. After 5 seconds, how much farther will Horse A have traveled? Explain your reasoning. *
Answers
Answer:
Horse A will have traveled 20 feet farther
Step-by-step explanation:
Horse A has traveled 160 feet in 5 seconds, and Horse B has traveled 140 feet in 5 seconds, and 160-140=20
Sam saved $50 from his summer job to buy video games. He bought 3 video
games and the cashier gave him $12.80 in change. If each game cost the same
amount, how much was each video game?
Answers
Answer:
$12.40
subtract 12.80 from 50 to get 37.20 then divide by 3
What is the answer 1.4 ÷ 0.7 =
Answers
Answer: 2
Step-by-step explanation: 0.7 times 2 is 1.4
Answer:
2
Step-by-step explanation:
which point on the line number line represntes -1/3
Answers
Answer:
c
Step-by-step explanation:
Answer:
Aaaaaaaaa because -1/3=0.3333
C.P=Rs 20,S.P =Rs24,profit
Answers
CP=RS20
SP=RS24
NOW ‚
Profit=SP-CP
=Rs24-Rs20
=Rs4
Which theorem, term, or corollary is represented by the picture? The bold lines in the pictures represent the hypothesis of the theorem or corollary.
A. Corollary to the isosceles triangle theorem
B. Corollary to the converse of the isosceles triangle theorem
C. CPCTC
D. Isosceles triangle theorem
E. Converse to the isosceles triangle theorem
Answers
Answer:
Pictured is the equilateral triangle with 3 sides and 3 angles being same
This should be equilateral triangle theorem, but it is not captured by answer choices
A board game was originally priced at $24, it is on sale now for $18. What percent off is the game (percent of
change)?
Answers
See attachment for your problem set up.
Answer:
This is a 25% decrease
Step-by-step explanation:
Find the difference between the two prices
24- 18 = 6
Take that over the original price
6 /24 = 1/4
Change to decimal form
.25
Change to percent form
25%
This is a 25% decrease
What is the first digit quotient for 18.6
Please respond ASAP
Answers
Answer: 18.6 is your answer because there is nothing behind the 6
Step-by-step explanation: hope this help :)
Find the range of the function for the given domain.
f(x) = 3x -6;{-2,-1,0,1,2}
What is the range? Choose the correct answer below.
A. {-13, - 9,-6,-3,1)
B. {-12, - 8,-6,- 2,0}
C. {-12, - 8, -7,-2,0)
D. {-12,-9,-6,-3,0}
Answers
=================================================
Explanation:
The domain is the set of allowed x inputs. The range is the set of possible y outputs.
The set {-2,-1,0,1,2} represents all the possible x inputs
Let's plug each of those into the equation y = 3x-6 to find the corresponding paired out puts.
Note: y = f(x), so f(x) = 3x-6 is the same as y = 3x-6.
---------------
If x = -2, then,
y = 3x-6
y = 3(-2)-6
y = -6-6
y = -12
We see that x = -2 and y = -12 pair up together.
The value -2 in the domain maps to -12 in the range.
----------------
If x = -1, then,
y = 3x-6
y = 3(-1)-6
y = -3-6
y = -9
The input x = -1 in the domain maps to the output y = -9 in the range
So far the range consists of {-12, -9} in either order.
The answer is between A and D
-----------------
If x = 0, then,
y = 3x-6
y = 3(0)-6
y = 0-6
y = -6
So -6 is also part of the range. We have {-12, -9, -6} so far. The answer is still between A and D.
------------------
If x = 1, then,
y = 3x-6
y = 3(1)-6
y = 3-6
y = -3
The range updates to {-12, -9, -6, -3}
A and D are still equally valid
-------------------
We have one more x value to try
If x = 2, then,
y = 3x-6
y = 3(2)-6
y = 6-6
y = 0
Since y = 0 is in the range, instead of y = 1, this rules out choice A
The answer is therefore D. {-12, -9, -6, -3, 0}
3x+7+10x=7+13x+10 has {fill in blank} solutions.
-6x-6+8x=-5+2x-1 has {fill in blank} solutions.
choices for both are
infinitely many,one,two,three
Answers
Answer and Step-by-step explanation:
3x + 7 + 10x = 7 + 13x + 10
13x + 7 = 13x + 17
0 = 10
No solutions
-6x -6 + 8x = -5 + 2x -1
2x - 6 = -6 + 2x
0 = 0
Many solutions.
The first equation has no solutions.
The second equation has infinitely many solutions.
#teamstrees #WAP (Water And Plant)
Answers:
1. No solutions
2. Infinitely many solutions
Step-by-step explanation:
[tex]3x+7+10x=7+13x+10[/tex]
Add common terms from both sides of the equation (10x and 3x) & (7 and 10)
[tex]13x+7=17+13x[/tex]
Subtract common terms from both sides (13x and 13x)
[tex]7\neq 17[/tex]
7 does not equal 17; thus, there are no solutions
[tex]-6x-6+8x=-5+2x-1[/tex]
Add common terms from both sides of the equation (-6x and 8x) & (-5 and -1)
[tex]2x-6=-6+2x[/tex]
Reorder the right side of the equation
[tex]2x-6=2x-6[/tex]
Since this is a true statement, there are infinitely many solutions
What is the volume of a hemisphere with a diameter of 56.7 in, rounded to the
nearest tenth of a cubic inch?
Answers
Answer:
Expert Verified
Step-by-step explanation:
the diameter is 57.2 in, then the radius is half that, or 28.6 in. The volume of a sphere is V = (4/3)πr³, and so the volume of this hemisphere is (2/3)πr³
The volume of the hemisphere given its diameter is 47,697.7 in³.
What is the volume?The volume of an object is the amount of space that is in the object. A hemisphere is a three-dimensional object that has the shape of a semicircle.
The volume of the hemisphere = 2/3πr³
r = 56.7 / 2 = 28.35 in
2/3 x 28.35³ x 3.14 = 47,697.7 in³
To learn more about the volume of a hemisphere, please check: https://brainly.com/question/26840364
#SPJ2
Graph y= -4/5x -7
Algebra
Answers
chris types 350 words in 4 minutes. Which equation can be used to find w, the number of words chris can type in 20 minutes if he continues to type at the same speed rate?
Answers
Answer:
Chris will type 7,000 words in 20 minutes. You can use 350 x 20 to find your answer.
Step-by-step explanation:
Connor has 36¢ in nickels and pennies. He has 8 coins altogether. How many coins of each kind does he have?
Answers
Answer:
7 nickels
1 pennie
Step-by-step explanation:
Answer:
Connor has 7 nickles and 1 penny.
Step-by-step explanation:
7 * 5 = 35
5 is the value of a nickel.
1 * 1 = 1
35 + 1 = 36
Therefore, Connor has 7 nickels and 1 penny.
The square of 15 is 225. The square of what other number is 225?
Answers
Answer:
-15
Step-by-step explanation:
-15²
= -15×-15
= 225
hope it helps!!
Answer:
-15
Step-by-step explanation:
Any number times itself is a positive number. The square of any number will be the same as the square of that number times -1
example:
2^2=4
-2^2=4
Help pls I need help asap
Answers
Last year Sarah invested money in two accounts. The first account had an interest rate of 4% and the second account had an interest rate of 3%. If she invested $700 more in the first account than the second and her total interest income was $483, how much did she invest at each rate?
Answers
Answer:
explain further pls so i can give u the correct answer
Step-by-step explanation:
5 = -8 + c
i need help this is extra credit
Answers
Answer:
c is equal to 13
because -8 + 8 is 0 and 0 + 5 is 5 and 8 + 5 is 13
URGENT
The table shows the derivation of tan(2x). Select the
correct reason for each step.
Reason 1 is
Reason 2 is
Reason 3 is
Answers
Answer:
Reason 1 is: Addition
Reason 2 is: Tangent Sum Identity
Reason 3 is: Simplify
Step-by-step explanation: ED 2020
Answer:
Reason 1 is: Addition
Reason 2 is: Tangent Sum Identity
Reason 3 is: Simplify
Step-by-step explanation:
Help. I do not know pls I require assisstance
Answers
Answer:
-1 is not in domain
0 and 2 both are in domain.
Explanation:
The radical function must have the domain greater or equal to 0. Here is why.
If we substitute any negative numbers in the equation
[tex]y = \sqrt{x} [/tex]
Then we would get the Imaginary Number, meaning it doesn't exist in Real Number system. That's why any negative real numbers cannot be part of the domain.
But that's for y = square root of x. There are like 4 types of radical function but this one is for example.
The equation in the question is the same type as the example equation.
What is the origional price of an object if the total is 878.74 and the tax is 0.07.
My problem/find X
X × 0.07 =b
X + b =$878.78
Answers
Answer:
The original price was $821.25
Step-by-step explanation:
The price of an object is $878.74 including a tax of 7%.
We are required to find the original price.
If the tax is 7%, then the total price is 100+7=107% of the original price.
Thus, $878.74 is the 107% of the original price x, thus:
x = $878.74/107*100 = $821.25
The original price was $821.25
Which expression is equivalent to 2(x + 7) – 18x + 3?
Answers
Answer:-16x+17
Step-by-step explanation:
Please help I’ll appreciate it thank you
Answers
Answer:
107*
Step-by-step explanation:
assuming QOP is 73 degrees then NOP is 107 degrees
a straight like is 180* then - 73* = 107*
1.Find the eqn of line passing through the point of intersection of lines 5x+y=7 and 3y=4x-5 and parallel to the line 2x-y=3
Answers
Answer:
y = 2x - 259/115 [slope-intercept]
-230x + 115y = -259 [standard form]
Step-by-step explanation:
First make sure both of the intersecting lines are in standard form: Ax + By = C.
Then, multiply one of the equations by a certain quantity so one of the variables can be canceled out.
For example:
given 5x + y = 7, and 3y = 4x - 5.
You can rearrange the second equation since it is not currently in standard form.
So all we need to do is subtract both sides by 4x since that will leave the constant of C by itself.
3y = 4x - 5 → 3y - 4x = 4x - 5 - 4x →
3y - 4x = -5.
Now adding a negative number is the same as subtracting a positive number, this is because subtraction is the opposite of adding.
So 3y - 4x = -5 = 3y + (-4x) = -5 →
-4x + 3y = -5
Digit realizes that some members of the audience cannot see the bride and groom due to the current seating arrangement. Therefore, the "U" shape in which the wedding party is organized needs to be widened so that the entire audience fits in between the outer boundaries of the "U" shape. In other words, the audience will be located above the upward-opened parabola formed by the bridal party.
What type of transformation is needed to widen the shape in which the wedding party is currently organized?
a dilation
a reflection
a translation
a rotation
Answers
Answer:
A dilation
Step-by-step explanation:
i
how many times larger is 2.4 x 10^8 than 6 x 10^7?
Answers
A school cafeteria sold 1,280 slices of pizza the first week, 640 the second week, and 320 the third week. If this pattern continues, in what week will the cafeteria sell 40 slices? Explain how you got your answer.
Answers
If you look at the question, You would see a pattern. That pattern is the amount of slices in one week is divided by 2 the next week. So on the fourth week you would do 320/2 and get 160. if you keep carrying on the pattern yourself, you would do: 160/2 = 80. 80/2 = 40. And there's your answer. week 4 we had 160 slices sold. week 5 80 slices sold. Week 6 40 slices sold
Simplify this into your own words if you have to
I need help please I have to finish this
Answers
Answer:
Perimeter: 53cm Area: 90cm²
Step-by-step explanation:
For the perimeter, we just add all of the sides of triangle ABC. We have two of them, but we need the length of BC. Using Pythagorean Therom on triangle BCD, we get this length to be 13. So, 13+25+15= 53 cm.
For the area, we can take the area of the big triangle ADB and subtract the area of triagle BCD so that we are left with the area for triangle ABC. Using Area= .5 x base x height, we get that the area of the large triangle is 120cm² and the area of the small triangle is 30 cm², leaving the area of ABC to be 90 cm².
(Note: the formula for area of the triangle only works on triangles with a right angle or triangles were the height and base are perpendicula, so simply doing .5 x 15 x 12 will not work. However, .5 x 15 x 12 does work because it is perpendicular.)
If a sweater costs $40.00 before the sale and $35.00 after the sale, what was the percent of decrease?
Answers
Answer:
%12.5
Step-by-step explanation:
Answer:
12%
Step-by-step explanation:
What is my perfect crime? I break into Tiffany's at midnight. Do I go for the vault? No, I go for the chandelier. It's priceless. As I'm taking it down, a woman catches me. She tells me to stop. It's her father's business. She's Tiffany. I say no. We make love all night. In the morning, the cops come and I escape in one of their uniforms. I tell her to meet me in Mexico, but I go to Canada. I don't trust her. Besides, I like the cold. Thirty years later, I get a postcard. I have a son and he's the chief of police. This is where the story gets interesting. I tell Tiffany to meet me in Paris by the Trocadero. She's been waiting for me all these years. She's never taken another lover. I don't care. I don't show up. I go to Berlin. That's where I stashed the chandelier.
Consider the following triangle:
Part A:find the perimeter of the triangle:
Options__
1) 72^1/2+32^1/2+2.16^1/3
2) 72^1/2+32^1/2+32^1/3
3) 104^1/2+2.16^1/3
Part B: Ronnie correctly rewrote the perimeter using radicals. Which expression did he use?
1) √32+ √72+3^ √16
2) √32+ √72+ √16
3) √32+ √72+3^ √32
4) √32+ √72+2 3^ √16
Part c in graph...if you already know the answer for it..please let me know
Answers
Answer:
Part A: B
Part B: I think 3
Step-by-step explanation:
Simply for Part A, put all the numbers together and add them for 2*16^1/3, you just multiply the 2 and 16. For the second part, use process of elimination
HOPE THIS HELPS:
SSG