Answers
Answer:
x=40°
Step-by-step explanation:
We have an isosceles triangle RST where the sides RS and ST are congruent, i.e. they have the same length.
One property of isosceles triangles is that the congruent sides form congruent angles with the other side. In other words, the measures of angles R and T are equal.
The sum of the measures of angles R, S, and T is 180°:
[tex]m\angle R+m\angle S+m\angle T =180^\circ[/tex]
Since [tex]m\angle R=2x-10[/tex] , [tex]m\angle T=m\angle R[/tex] and [tex]m\angle S=x[/tex]:
2x-10+x+2x-10 =180
Simplifying:
5x=180+20
Solving:
x=200/5
x=40°
Related Questions
Hector is dividing students into groups for a nature hike. He wants to divide the boys and girls so that each group has the same number of both boys and girls. There are 21 boys and 56 girls signed up for the hike. Into how many groups can the students be divided? How many boys and how many girls will be in each group?
Answers
Answer: The students can be divided into 7 groups.
Each group will have 3 boys and 8 girls.
Step-by-step explanation:
There are 21 boys and 56 girls.
To divide them so that each group has the same number of both boys and girls.
We find GCD(21,56).
21 = 3 x 7
56 = 2 x 2 x 2 x 7
GCD (21,56) = 7
So, the students can be divided into 7 groups.
Number of girls in each group = [tex]\dfrac{56}{7}=8[/tex]
Number of boys in each group = [tex]\dfrac{21}{7}=3[/tex]
So, each group will have 3 boys and 8 girls.
Every relation that is linear, must also be a function true or false
Answers
Answer:
In order to be a linear function, a graph must be both linear (a straight line) and a function (matching each x-value to only one y-value).
Step-by-step explanation:
I hope this helps, sorry if it doesn't good luck
It is false that Every relation that is linear, must also be a function.
Given that,
A statement is to be justify that, whether is true and false that Every relation that is linear, must also be a function.
Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in set of y. x is the independent variable while Y is the dependent variable.
Linear functions are defined as functions whose graph is a straight line. A linear function has the following form. example f(x) = 1 + 2x. A linear function has only independent variable and only a dependent variable.
Let's understand with an example,
If y = 1 *[tex]x^0[/tex] , is a linear function but it's a verticle straight line. for every value of x, y is independent of x so for the function it is necessary that the function should be consist of an independent variable and a dependent variable,
Implies every function that is linear must not also a function.
Thus, It is false that Every relation that is linear must also be a function.
Learn more about function here:
brainly.com/question/21145944
#SPJ2
1. Choose the graph that represents the equation y = -x] - 1.
Answers
Answer:
x=−y−1
Step-by-step explanation:
y=−x−1
Step 1: Flip the equation.
−x−1=y
Step 2: Add 1 to both sides.
−x−1+1=y+1
−x=y+1
Step 3: Divide both sides by -1.
−x
−1
=
y+1
−1
x=−y−1
the equation 3x^2-6x=8 is rewritten in a form of 3(x-p)^2+q=0.
Answers
Answer:
[tex]3(x - 1)^2 - 11= 0[/tex]
Step-by-step explanation:
Given
[tex]3x^2 - 6x = 8[/tex]
Required
Rewrite in form of [tex]3(x - p)^2 + q = 0[/tex]
[tex]3x^2 - 6x = 8[/tex]
Subtract 8 from both sides
[tex]3x^2 - 6x - 8 = 8 - 8[/tex]
[tex]3x^2 - 6x - 8 = 0[/tex]
Express -8 as 3 - 11;
So, we have:
[tex]3x^2 - 6x + 3 - 11= 0[/tex]
Expand [tex]3x^2 - 6x + 3[/tex]
[tex]3(x^2 - 2x + 1) - 11= 0[/tex]
Factorize the expression in the bracket;
[tex]3(x^2 - x -x + 1) - 11= 0[/tex]
[tex]3(x(x - 1) -1(x - 1)) - 11= 0[/tex]
[tex]3((x - 1)^2) - 11= 0[/tex]
[tex]3(x - 1)^2 - 11= 0[/tex]
By comparison: [tex]3(x - p)^2 + q = 0[/tex]
[tex]p= 1[/tex]
[tex]q = -11[/tex]
Please please help meee
Answers
Answer:
<X= 111 , <Y= 69, <Z 111
Step-by-step explanation:
X and Z are corresponding
solve for Y
180-111= 69
Heyyy yugiii :)) what’s 20 times 50 minus 16 plus 28?
Answers
Answer:
hey do you want to do a zoom
Step-by-step explanation:
i am done with my basketball game
Question 6
How do the measures of the anges of polygon ABCD compare with those of the translated images? Based on your observation, what can you
condude about preservation of angle measurements during a translation?
Answers
Answer:
The measures of the angles of polygon ABCD are equal to the measures of the corresponding angles of both translated images. This means that the angles of the polygon are preserved as the figure is translated in any direction.
Step-by-step explanation:
Answer:
The measures of the interior angles of polygon ABCD are equal to the measures of the corresponding angles in the reflected image. This means that angle measurements of the polygon are preserved as the image is reflected. The same is true for the side lengths. The measures of both angles and sides are preserved in a reflection. A reflection is a rigid transformation.
Step-by-step explanation:
plato
At the beginning of a baking session, there were 2.26 kilograms of flour in the bag. By the end of the baking session, there was 0.98 kilogram
of flour in the bag. What is the percent of decrease in the amount of flour? Round the percent to the nearest tenth if necessary?
The answer is not 32 or 43.4.
Answers
Answer:
56.6%
Step-by-step explanation:
To calculate percent decrease, you first subtract the original number with the final number.
2.26 - 0.98 = 1.28
Then, you divide your answer by the original number.
1.28/2.26 = 0.56637168141
Finally, you multiply your answer by 100 and round as necessary.
0.56637168141 x 100 = 56.637168141
1
2
3
What is the slope of the line represented by the equation y
Y = 4/5x - 3
Answers
If 3 cot theta= 2, find the value of 2sin theta -3cos theta /2sin theta +3cos theta
Answers
Answer:
0
Step-by-step explanation:
Using the trigonometric identity
cotx = [tex]\frac{cosx}{sinx}[/tex]
Given
3cotθ = 2 , then
3[tex]\frac{coso}{sino}[/tex] = 2 ( multiply both sides by sinθ )
3cosθ = 2sinθ ( subtract 3cosθ from both sides )
2sinθ - 3cosθ = 0
Thus
[tex]\frac{2sin0-3cos0}{2sin0+3cos0}[/tex]
= [tex]\frac{0}{2sin0+3cos0}[/tex]
= 0
HELP WILL MARK YOU BRAINLIEST NO GUESSES PLZ!!!!
Answers
Answer:
c 78
Step-by-step explanation:
PLEASE ANSWER FAST
A principal spent $1560 total on "c" calculators for his school. Which
expressions shows the cost of ONE calculator.
A. c+ 1560 B. 1560c C. 1560- c D. 1560/c
Answers
Answer:
1560/c
Step-by-step explanation:
if you divide 1560 by c the value you get will be the cost of one calculator.
Answer:
The answer is D. 1560/c
Step-by-step explanation:
If you divide 1560 by c you will get the cost of one calculator.
A 2-pound bag of sugar contains 227 one-teaspoon servings and costs $2.49. A batch of muffins uses 1 2 cup of sugar. How many whole batches can you make if you use as much of the sugar as possible? What is the cost of sugar for each batch? (1 cup = 48 teaspoons; do not consider leftover sugar in the cost calculation.) You can make a total of batches at $ per batch.
Answers
Answer:
a) 9 whole batches can be made
b) The cost of sugar for each batch = $0.26
Step-by-step explanation:
A 2-pound bag of sugar contains 227 one-teaspoon servings and costs $2.49.
This means:
2 pound bag of sugar = 227 teaspoon servings
2 pounds bag of sugar cost $2.49
We are told that:
A batch of muffins uses 1/2 cup of sugar.
a).How many whole batches can you make if you use as much of the sugar as possible?
(1 cup = 48 teaspoons)
Hence, A batch of muffins = 1/2 cups of sugar = 48 teaspoons of sugar ÷ 2
= 24 teaspoons of sugar
Hence:
24 teaspoons of sugar = 1 batch of muffins
227 teaspoons of sugar = x
Cross Multiply
24 × x = 1 × 227
x = 227/24
x = 9.4583333333 batches of muffins
We are asked to name the number of whole batches that can be made.
Therefore, 9 whole batches of muffins can be made
b) What is the cost of sugar for each batch? (do not consider leftover sugar in the cost calculation.) You can make a total of batches at $ per batch.
Since we are not to consider the leftover sugar in the cost calculation,
1 batch = 24 teaspoons of sugar
9 whole batches =
9 × 24 teaspoons = 216 teaspoons of sugar was used
The left over = 227 - 216 = 11 teaspoons of sugar is left
We know that:
227 teaspoons of sugar = $2.49
216 teaspoons of sugar = x
Cross Multiply
= 216 × $2.49/227
= $2.369339207
24 teaspoons of sugar = 1 batch of muffins
Therefore,
216 teaspoons of sugar =
$2.369339207
24 teaspoons of sugar =
24 × $2.369339207/ 216
= $0.2632599119
Approximately = $0.26
Therefore, the cost of sugar for each batch = $0.26
PLS help with the question in the picture!
Answers
Answer:
e then m 4
Step-by-step explanation:
cause thats how it goes
How many times larger is 22700000 than 925000
Answers
Answer:24.54054 times larger
Step-by-step explanation: Divide 22700000 by 925000 and it gives you 24.54054 in the calculator
Find the total surface area of this cuboid.
5 cm
4 cm
6 cm
Answers
Answer:
e total surface area (TSA) of a cuboid is the sum of the areas of its 6 faces, which is ... 1: Find the total surface area of a cuboid with dimensions 8 cm by 6 cm by 5 cm. ... Example 2: Find the surface area of a cuboid of dimensions 4.8 cm, 3.4 cm ... Example 4: The length, breadth and height of a cuboid are 16cm, 14cm and ...
Step-by-step explanation:
Where's the cuboid? You left it out.
In any case, use the following formula:
SA = 2(front + side + top)
1.) In a department store, a $120 belt is marked 25% off.
What is the discount?
What is the sale price of the dress?
Answers
Answer:
$30
$90
Step-by-step explanation:
Given parameters:
Selling price of belt = $120
Percentage discount = 25%
Unknown:
Discount = ?
Sale price of the dress = ?
Solution:
Discount is a reduction in the price of a commodity.
Discount = percentage discount x selling price of belt
Input the parameters and solve;
I. Discount = [tex]\frac{25}{100}[/tex] x 120 = $30
II. Sale price of the dress;
= selling price - discount amount
= $120 - $30
= $90
Write the slope-intercept form of the equation for the line containing (1,-6) and (−4,4).
Answers
Answer:
-2
Step-by-step explanation:
m = 10 / -5 = 2 / -1 = -2
Jared earned $55 from cleaning pools. He deposits the $55 into his checking account.
Select each of the statements that would result in an overall change of $0 to his checking account if they are paired with the above
deposit.
Jared deposits $55 earned from babysitting
his brother into his checking account
Jared transfers $55 to his checking
account from his savings account.
Jared spends $55 from his checking account
to purchase a college Algebra textbook
Jared withdraws $55 from his checking account
Jared withdraws $55 from his savings account
Jared transfers $55 to his savings
account from his checking account
Reset
Submit
Answers
Answer:
Jared transfers $55 to his checking account from his savings account.
Jared spends $55 from his checking account to purchase a college Algebra textbook
Jared withdraws $55 from his checking account
Hope this helps!
Suppose that the function LaTeX: f(x) f ( x ) is shifted horizontally to the right by LaTeX: a a , reflected across the LaTeX: x x -axis, and shifted vertically down by LaTeX: b b to become the function LaTeX: g(x) g ( x ) . Write the function LaTeX: g(x) g ( x ) in terms of LaTeX: f(x) f ( x ) and explain each of the shifts
Answers
Answer:
[tex]g(x) = (x-a,-y - b)[/tex]
Step-by-step explanation:
Given
Represent f(x) as follows:
[tex]f(x) = (x,y)[/tex]
Transformations:
Horizontally shifted right by a
Reflected across x axis
Vertically shifted down by b
Taking the transformations one after the other.
Horizontally shifted right by a
When a function is shifted right, the resulting function is:
[tex]f' = (x-a,y)[/tex]
Reflected across x axis
Here, the x axis remains unaltered while the y axis is negated
[tex]f' = (x-a,y)[/tex]
becomes
[tex]f" = (x-a,-y)[/tex]
Vertically shifted down by b
When a function is shifted down by b, the resulting function is:
[tex]f"' = f" - b[/tex]
i.e, subtract b from the function (f(x) or y, as the case may be)
So, we have:
[tex]f"' = (x-a,-y - b)[/tex]
Represent f"' with g(x)
[tex]g(x) = (x-a,-y - b)[/tex]
help me plzzzzzzzzzzzzzzzz
Answers
Answer:
796p
Step-by-step explanation:
If three cartens come in a sigle packege you see how many cartons you need so that would 26/3 wich is some what 8, so you do 90*8 to see how much you'ev spent so far. Now you know that you have 24 cartons so far because you multiply 3 and 8. Lastly, you just add 76 because you need two more cartons. :)
Duncan had 3.8 gallons of paint and used 1.89 gallons for a poster. How much paint did Duncan have left after painting the posture.
Answers
3.8-1.89= 1.91 gallons
Answer:
1.91
Step-by-step explanation:
Duncan had 3.8 and used 1.89 obviously we can't subtract right now so we have to add a 0 to 3.8 so it would 3.80 - 1.89 = 1.91
Brandon was on vacation for 2 weeks and 1 day. He spent the same amount of time with each of his 3 brothers. How many days did he spend with each brother?
Answers
Answer:
2.67 days each
Step-by-step explanation:
Answer: 2.67
Step-by-step explanation:
Please help
Use the table below to answer this question:
x y
−1 -3
0 -1
2 3
Find the average rate of change for the given function from x = −1 to x = 2.
Answers
Answer:
;)
Step-by-step explanation:
1/2 (4x+3) < 1/2 (2x+6)
Answers
Answer:
x< 3/2 hope this helps <3
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
Step 2: Subtract x from both sides.
Step 3: Subtract 3/2 from both sides.
Which diagrams is not correct
Answers
Answer:
A
Step-by-step explanation:
round 18.238 to the nearest tenth
Answers
Answer:
18.2
Step-by-step explanation:
Since the hundreds place is less than 5, it stays the same.
Answer:
18.2, haven't done this for a while now, but I think that should be correct :)
Help me out please I'll give brain list
Answers
Answer:
b
Step-by-step explanation:
hope this helps
what is 0.72 equivalent to?
Answers
Answer:
18/25
Step-by-step explanation:
Answer:
72%, or, 18/25
Step-by-step explanation:
I just converted 0.72 into a percentage and a fraction. I hope this helps! :P
"Sonia had band practice 2 _1/3 hours on Saturday and 1_3/4 hours on Monday. How many total
hours did she practice those two days? *
Answers
Answer:
3_5/6 hours
Step-by-step explanation:
2_ 1/3 = 2_ 4/12
1_3/4 = 1_6/12
2_4/12 + 1_6/12 = 3_10/12
3_10/12 = 3_5/6