Answer:
x = 19°
Step-by-step explanation:
We know that ∠UTV and ∠RTS are vertical angles, therefore is the measure of ∠UTV = 85, then the measure of ∠RTS would also be 85, by the "Vertical angles are congruent theorem.
=> ∠UTV ≅ ∠RTS
=> ∠UTV = 85°
=> ∠RTS = 85°
Now that we know all three angles of within the triangle, we can say that the sum of all three angles within the triangle is 180, we can conclude;
∠R + ∠T + ∠S = 180°
(3x) + (85°) + (2x) = 180°
5x + 85° = 180°
5x = 180° - 85°
5x = 95
x = 95/5
x = 19°
Hence, there is you're answer! x = 19°
Hope this helps!
This recipe makes four portions of soup.
Navina follows this recipe but only wants to make enough for one portion of soup.
How much of each ingredient does she need?
Recipe: Serves 4
180 g onions
100 g carrots
3 tablespoons of oil
600 g tomatoes
1.2 L vegetable stock
I need help with this asap please
Answer:
A
Step-by-step explanation:
Total amount of faces of object = 6
Surface area = length x height
2(4*10) + 2(10*17) + 2(4*17)
=2(40) + 2(170) + 2(68)
= 80 + 340 + 136
= 556cm^2
What is the volume, in cubic in, of a cylinder with a height of 12in and a base radius of 6in, to the nearest tenths place?
Answer: Therefore, the volume of cylinder is 1356.5 cubic inches.
Step-by-step explanation: First I took an ESTIMATE and then after I did my estimate I did the real deal, I took everything I knew and put it all together.
Answer:
12*8.49*8.49 = 8649612in^3
Step-by-step explanation:
help me with this the question is in the picture
Answer:
28:12
Step-by-step explanation:
You multiply both sides by the same number to increase a ratio, the only one you can do this with is 28:12 by multiplying the original ratio by 4
Darcy sold lemonade in rhe summer. Lemonade is her favorite summertime drink. 1/2 of her recipe is fresh lemons . 1/3 of her recipe is sugar. The rest of the recipe is water. What fraction of the recipe is water
Answer:
1/6
Step-by-step explanation:
fraction of water = 1 - (1/2 + 1/3)
)[tex]\frac{1}{2} + \frac{1}{3}[/tex]
[tex]\frac{3 + 2}{6}[/tex]
5/6
1 - 5/6
6/6 - 5/6 = 1/6
how to get easy points: make two acounts, on the second acount answer random question to get points, then make questions that have a lot of points, on the first acount answer the questions that you made. repeat.
Answer:
the bro ik
Step-by-step explanation:
yup yup yup bri
Answer:
heyyyy
Step-by-step explanation:
read and answer please. thanks
What is the distance between the points (2,4) and (9,9)?
Answer:
I think it is (7,5)
Step-by-step explanation:
What is the sum of 4n² + 2n+ 12
Answer:
hope this helps <33
Step-by-step explanation:
2(2n^2+n=6)
When 3 is subtracted from one third of a number n, the result is less than 6. Which inequality and solution represent this situation?
Answer:
1/3n-3÷6
Step-by-step explanation:
3 is subtraced form 1/3
Answer:
n < 27
Step-by-step explanation:
1/3n - 3
1/3n - 3 < 6
Add 3 to each side.
1/3n - 3 + 3 < 6 + 3
Combine like terms.
1/3n < 9
Divide each side by 1/3.
1/3n ÷ 1/3 < 9 ÷ 1/3
Combine like terms.
n < 27
141.75 divided by 2.5
Answer:
56.7
Step-by-step explanation:
Have a good day :)
Answer: 56.7 is the answer :))
solve the inequality t/4 > 7
Answer:
t > 28
Step-by-step explanation:
Given
> 7 ( multiply both sides by 4 to clear the fraction )
t > 28
Answer:
[tex]t > 28[/tex]
Step-by-step explanation:
Multiply both sides of the inequality by 4:
[tex]4 \times \frac{t}{4} > 4 \times 7[/tex]
Reduce the number with the greatest common factor 4:
[tex]t > 4 \times 7[/tex]
Multiply the number:
[tex]t > 28[/tex]
helppppppppppppppppppp
Answer:
B
Step-by-step explanation:
You just substitute the values in for A and B and then you simplify
The 10 A would be 10x17 which is 170 and then plus B, which we know is 12, so it would equal 182
hope this helped
Answer:
182
Step-by-step explanation:
First, plug in 17 for a
10·17+b=170+b
Then plug in 12 for b
170+12=182
There you go!
182
HELP PLEASE!!! NO FLIES OR LINKS
given rhombus ABCD , find the measure of the indicated angle in degrees
Answer:
61
Step-by-step explanation:
180 - 119 =
PLEASE HELP!! I'LL MARK BRAINLIEST AND GIVE POINTS!!
Fiona and Rachel went to determine the most popular lunch choice in the school cafeteria among seventh graders. They decide to collect data from a sample of seventh graders at school. Fiona surveys twenty seventh graders that are in line at the cafeteria. Rachel surveys twenty seventh graders whose ID numbers end in 9.
ALL YOU HAVE TO DO IS FIND WHICH REPRESENTATION IS BIGGER, FIONA'S OR RACHEL?
Answer:
Rachel
Step-by-step explanation:
Rachel has the greater representation; if the students are in the lunch line, they are buying food (this does not account for students who bring lunch from home).
The last number in an ID has nothing to do with lunch choice.
There are 10 marbles in a bag 1/5 are and the other are blue .What is the ratio of red to blue marbles
Answer:
1 : 4
Step-by-step explanation:
There are 10 marbles in a bag 1/5 are red and the others are blue. What is the ratio of red to blue marbles?
Number of red marbles = fraction of red marbles x total number of marbles
1/5 x 10 = 2
Number of blue marbles = total number of marbles - number of red marbles
10 - 2 = 8
ratio of red to blue marbles
2 : 8
To transform to the simplest form. divide both numbers by 2
1 : 4
Find the volume of this right rectangular
prism.
4 cm
4 cm
4 cm
[ ? ]cm3
Answer:
V = 64 cm^3
Step-by-step explanation:
Volume is length times width times height
V = l*w*h
V = 4*4*4
V = 64 cm^3
Answer:
64
Step-by-step explanation:
4x4x4=64
In a cave a stalactite get 4 milimeters longer each year this years it is 72 centimeters long. How many years until it is 1 meter long?
Answer:
70 years
Step-by-step explanation:
Equation that describe the situation
y = 4x + 720
x = years
y = length
1000 = 4x + 720
4x = 280
x = 70
Answer:
0.07
Step-by-step explanation:
What is the common ratio of the geometric sequence whose first term is 5 and third term is 245?
Answer:
7
Step-by-step explanation:
The common ratio of the geometric sequence is 7.
What is geometric progression?Geometric Progression (GP) is a type of sequence where each succeeding term is produced by multiplying each preceding term by a fixed number, which is called a common ratio. This progression is also known as a geometric sequence of numbers that follow a pattern.
According to the question,
First term = a = 5
Third term = a×r²
= 245
⇒ ar² = 245
⇒ 5×r² =245
⇒ r² = 245/5
⇒ r² = 49
⇒ r = 7.
Hence the common ratio = 7
To learn more on geometric progression click :
https://brainly.com/question/4853032
#SPJ2
help me plzz nowwwwww plzz
Answer:
18
Step-by-step explanation:
colored: white
3 :8
We have 48 white papers so multiply each side by 6
colored: white
3*6 : 8*6
18 48
There are 18 colored papers
Answer:
C) 18
Step-by-step explanation:
3/8 = c/48
cross-multiply to get:
8c = 144
c = 18
Given AE and BD bisect each other at point c, which congruence theorem would you use to prove triangle ABC =~ triangle EDC ?
-2x + 4 = 3
how would you solve this problem?
The salary of the employees in the office were $15,000; $18,000; $16,000; $14,000;
$90,000; and $17,000. Which measure of central tendency is most appropriate to
calculate?
Answer:
i honestly dont even know myself
Step-by-step explanation:
Use the equation 135 x 42 = 5.670 and what you know about fractions, decimals, and place value to explain how to place the decimal point when you compute 1.35 x 4.2
Answer:
5.670
Step-by-step explanation:
To compute 1.35 x 4.2
First, we need to convert both decimals to fraction
1.35 = 135/100
4.2 = 42/10
Taking the product
1.35 x 4.2
= 135/100 * 42/10
= (135*42)/(100*10)
= 5670/1000
= 5.670
Hence the product of both numbers is 5.670
Please help!!!
If O is the center of the circle, what can you conclude from the diagram?
Answer:
H. AB < AD
Step-by-step explanation:
_________________
Find h.
11 in.
h = [?] in
in.
14 in.
PLEASE OH PLEASE HELP ME IM DESPERATE
11^2 = h^2 + ( 14/2)^2
11^2 = h^2 + 7^2
121 = h^2 + 49
h^2 = 121 - 49
h^2 = 72
h = √72
The equation of a line is 2x + 3y = Select three
lines that are parallel to the given line.
Answer:
The three lines that are parallel to the Given line are :
2x + 3y = 2
9y = -6x + 15
3y = -2x + 12
Step-by-step explanation:
The exact question is as follows :
Given - The equation of a line is 2x + 3y = 4.
To find - Select three lines that are parallel to the given line.
A) 2x + 3y = 2
B) 2x + 5y = 15
C) 9y = -6x + 15
D) 3y = -2x + 12
E) 3x - 2y = 15
Solution -
We know that,
If the slopes are the same and the y-intercepts are different, the lines are parallel.
Given that,
The given line is 2x + 3y = 4
⇒3y = -2x + 4
⇒y = -(2/3)x + (4/3)
So,
Slope = -(2/3)
y-intercept = (4/3)
Now,
A.)
2x + 3y = 2
⇒3y = - 2x + 2
⇒y = -(2/3) + (2/3)
So,
Slope = -(2/3)
y-intercept = (2/3)
By Comparing with the given line's slope and y-intercept
We can see that
slope is same but y-intercept is different
So,
2x + 3y = 2 is parallel to the given line.
Now,
B.)
2x + 5y = 15
⇒5y = - 2x + 15
⇒y = -(2/5) + (15/5)
So,
Slope = -(2/5)
y-intercept = 3
By Comparing with the given line's slope and y-intercept
We can see that slope is different
So,
2x + 5y = 15 is not parallel to the given line.
C)
9y = -6x + 15
⇒y = -(6/9)x + (15/9)
= -(2/3)x + (5/3)
⇒y = -(2/3)x + (5/3)
So,
Slope = -(2/3)
y-intercept = 5/3
By Comparing with the given line's slope and y-intercept
We can see that slope is same and y-intercept is different
So,
9y = -6x + 15 is parallel to the given line.
D)
3y = -2x + 12
⇒y = -(2/3) + (12/3)
So,
Slope = -(2/3)
y-intercept = 4
By Comparing with the given line's slope and y-intercept
We can see that slope is same and y-intercept is different
So,
3y = -2x + 12 is parallel to the given line.
E)
3x - 2y = 15
⇒-2y = -3x + 15
⇒2y = 3x - 15
⇒y = (3/2) - (15/2)
So,
Slope = 3/2
y-intercept = -15/2
By Comparing with the given line's slope and y-intercept
We can see that slope is different
So,
3x - 2y = 15 is not parallel to the given line.
∴ we get
The three lines that are parallel to the given line are :
2x + 3y = 2
9y = -6x + 15
3y = -2x + 12
Diana is painting statues. She has 7/8 of a liter of paint remaining. Each statue requires 1/8 of a liter of paint.How many statues can she paint?
Answer:
7 statues
Step-by-step explanation:
Step 1: Divide the paint remaining by the paint required by each statue (We are doing this because [tex]\frac{1}{8}[/tex] is 1 statue, so to find how many we need, divide [tex]\frac{7}{8}[/tex] by that.)
[tex]\frac{7}{8}\div \frac{1}{8}\\\\\frac{7}{8}\times \frac{8}{1}\\\\=\frac{7}{1}\\\\= 7[/tex]
Therefore, Diana can paint 7 statues.
Kawai requires a loan of $33,000 to buy a used sport utility vehicle. His banks offers financing at 6.75% compounded monthly, for a term of 6 years, payable monthly. What is the total cost of this loan?
Answer:
$49,126.87
Step-by-step explanation:
Given data
Principal= $33,000
rate= 6.75%
Time= 6 years
First, convert R as a percent to r as a decimal
r = R/100
r = 6.65/100
r = 0.0665 rate per year,
Then solve the equation for A
A = P(1 + r/n)^nt
A = 33,000.00(1 + 0.0665/12)^(12)(6)
A = 33,000.00(1 + 0.005541667)^(72)
A = $49,126.87
Hence the final amount is $49,126.87
On a number line, what is the distance between -5 and
72