solve for the value of x. Show your Solution. ( 5 points ) Given ∆RPA and ∆NUJ, RP = 2× + 5 and
NU = 13
Answers
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
As we can see in the given figure, The two triangles are congruent to each other by many criterias, so we can infer that Their corresponding sides are of equal length.
That is :
[tex]\qquad \tt \dashrightarrow \:2x + 5 = 13[/tex]
[tex]\qquad \tt \dashrightarrow \:2x = 13 - 5[/tex]
[tex]\qquad \tt \dashrightarrow \:2x = 8[/tex]
[tex]\qquad \tt \dashrightarrow \:x = 8 \div 2[/tex]
[tex]\qquad \tt \dashrightarrow \:x = 4[/tex]
Therefore, value of x is 4
Answer:
x = 4
Step-by-step explanation:
the point here is congruent triangles.
according to the image,
2x + 5 = 13 <---- subtract constants
2x = 13 - 5 = 8 <--- finalize
2x = 8 <----------- divide both sides by 2
2x / 2 = 8 / 2 <-- finalize
x = 4 <--- answer
Related Questions
4
Is this a function?
Is this a function?
Yes
No
Cannot be
determined
A Yes
B) No
Cannot be determined
Answers
How many ways can a president, vice-president, and secretary be chosen from a club with 9 members?
Answers
This type of problem is a permutation problem. Permutation is the arrangement of a set with certain order. In the problem, if there are 9 members, and 3 positions are available without repeating, we can write the expression as 9P3 - 3 non repeating positions in a set of 9 elements. By evaluating, we will have 9! / (9-3)! = 504. The answer is 504.
What is the length of side s of the square shown below?
Answers
Answer:
A
Step-by-step explanation:
Pythagorean theorem
s^2 + s^2 = 2^2
2s^2 = 4
s^2 = 2
s = sqrt 2
Which of the following statements regarding the transmission of pathogens from environmental surfaces are true?
a. Pathogens can be spread by contact with contaminated surfaces.
b. Placing a resident in a room previously occupied by a C. diff positive resident increases the risk for acquiring C. diff. c. You must touch a surface for at least 3 minutes for pathogenic transfer to occur. d. Most pathogens can only survive on surfaces for a few minutes
Answers
TRUE statements regarding the transmission of pathogens via environmental surfaces are the statements in option A and B.
What are Pathogens?Pathogens can be referred to as microscopic organisms which can cause diseases and illness. They are bacteria, fungi, virus or other disease causing organisms.
These pathogens can be transmitted via environmental surfaces especially by coming in contact with contaminated surfaces. Some pathogens survive longer on surfaces, while some only survive for few minutes.
If someone is placed in a room previously occupied by an infected person, the chances of contacting that same disease is high.
Thus, the statements that are TRUE regarding the transmission of pathogens via environmental surfaces are the statements in option A and B.
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Ratidzo bought 25,2kg of tea at $8,75 a kg.How much did she pay for the tea.
Answers
25,2*8,75 = 220,5
Determine the seating capacity of an auditorium with 10 rows of seats if there are 15 seats in the first row, 19 seats in the second row, 23 seats in the third row, 27 seats in the fourth row, and so on. Total number of seats =
Answers
Answer:
94 capacity
Step-by-step explanation:I did math
For which equation is 0 not a solution?
x - 5 = 4
6 x + 4 = 4
3 x = 0
x + 9 = 9
Answers
Answer:
x-5=4, the answer for that equation is not 0. so that is your answer.
Step-by-step explanation:
Buster was given this expression and asked to determine whether the answer is greater than or less than 1. (9.763 × 108) (1.56 × 1013) how can buster tell without fully performing the calculations? buster knows the answer is more than 1, because he can add the exponents to see that the solution will have an exponent of 21. buster can tell the answer is less than 1, because he can subtract the exponents to see that the solution will have an exponent of –5. buster knows the answer is more than 1, because 9.763 ÷ 1.56 is more than 1. buster cannot answer the question without a calculator.
Answers
The given expression (9.763 × 10^8)/ (1.56 × 10^13) is less than 1.
What is a fraction?A fraction represents a part of a number or any number of equal parts.
Buster was given this expression and asked to determine whether the answer is greater than or less than 1.
(9.763 × 10^8)/ (1.56 × 10^13).
The given expression is the numerator (9.763 × 10^8) is less than (1.56 × 10^13) the denominator.
Therefore,
10^8 > 10^13
Hence, the given expression is less than 1.
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Answer:
B
Step-by-step explanation:
Buster can tell the answer is less than 1, because he can subtract the exponents to see that the solution will have an exponent of –5.
1/10 Write as a decimal. Then compare 1/10and 0.104. 1/10 =
Answers
Answer: 0.1
0.1<0.104
Step-by-step explanation:
Question 1 options:
13.5
12
13
11
Answers
Answer: 13
nothing in between 13
Down below
At a summer camp, a student has to choose an activity from group A and an activity from group B. How many different combinations of activities can he choose from?
Group A
swimming
canoeing
kayaking
snorkeling
Group B
archery
rappelling
crafts
cooking
A:8
B:2
C:4
D:16
Answers
Answer:
16
Step-by-step explanation:
each activity is worth 4.
I need help on this
Answers
1. (x+2) (3x-1)
2. The zeros are at x = -2 and x = 1/3
Explanation:
3x² + 5x - 23x² + 6x - x - 23x(x+2) -1(x+2)(x+2) (3x-1)================
zeros are when f(x) = 0
--------------
x + 2 = 0, 3x - 1 = 0x = -2, x = 1/3Solve for x:
4x – 7 = 8x + 33
Answers
Answer:
x = 10
Step-by-step explanation:
Hey there!
To solve this question we will use PEMDAS (order of operations)
4x−7=8x+33
Subtract 8x from both sides.
4x−7−8x=33
Combine 4x and −8x to get −4x.
−4x−7=33
Add 7 to both sides.
−4x=33+7
Add 33 and 7 to get 40.
−4x=40
Divide both sides by −4.
x= 40/-4
Divide 40 by −4 to get −10.
x=−10
what is the answer to this problem
Answers
Answer:
OPTION C
Step-by-step explanation:
[tex] \frac{1}{2} (x - \frac{3}{4} ) = \frac{5}{12} [/tex]
[tex](x - \frac{3}{4} ) = \frac{5}{6} [/tex]
[tex]x = \frac{3}{4} + \frac{5}{6} [/tex]
[tex]x = \frac{9 + 10}{12} [/tex]
[tex]x = \frac{19}{12}
\frac{3}{4} y - \frac{3}{2} = \frac{5}{2} [/tex]
[tex] \frac{3}{4} y = 4[/tex]
[tex]y = \frac{16}{3} [/tex]
if rx - st = r , which expression represents x
Answers
Send st to other side
rx= r+st
Divide by r so x stays alone
X=(r+st)/r
Which is also equal to
X=r/r+st/r
X= 1+st/r
Lee fills a watering can with 8 cups of water. He pours 4 fluid ounces of the water onto each of the 10 plants in his room. How many cups of water are left in the can?
Answers
By performing a change of units, we will see that the amount of water left in the can is 3 cups.
How many cups of water are left in the can?We know that the can originally has 8 cups of water.
Then, you use 4 fluid ounces into each of 10 plants, then the amount used is:
40 fluid ounces.
Now we need to do a change of units.
8 fluid ounce = 1 cup.
1 = (1 cup/ 8 fluid ounces)
Then we can rewrite:
40 fluid ounces = 40 fluid ounces*(1 cup/ 8 fluid ounces) = 5 cups.
This means that lee used 5 cups out of the 8 in the can, so the amount of water left is:
8 cups - 5 cups = 3 cups.
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Each Handle is 1/4 the width of the handlebars. How many inches long is each Handle. Width of Handlebar is 2 ft
Answers
Answer:
1/2 feet
Step-by-step explanation:
1/4 of 2 feet is 1/2
There are 1/2 inches long is each Handle.
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Each Handle is 1/4 the width of the handlebars.
And, Width of Handlebar is 2 ft
Hence, Lenght of each Handle is,
⇒ 1/4 of 2
⇒ 1/4 x 2
⇒ 1/2 feet
Thus, There are 1/2 inches long is each Handle.
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Two groups of students took the same test. Their results are indicated in the dot plot below.
Which statement is true?
answers:
A. Based on visual inspection, Group B appears to have less variability in scores than Group A.
B. Because Group A has a lower minimum score than Group B, it has a lower median as well.
C. Because both distributions have a mean score of 80, they are very similar in terms of variability.
D. Based on visual inspection, Group A appears to have a higher average score than Group B.
Answers
You are playing a game that uses two fair number cubes. If the total on the number cubes is either 6 or 10 on your next turn, you win the game. What is the probability of winning on your next turn? Express your answer as a percent. If necessary, round your answer to the nearest tenth.
Answers
The probability of winning on the next turn in a play of game that uses two fair number cubes is 0.2222 or 22.22%.
What do you mean by probability?Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.
You are playing a game that uses two fair number cubes. If the total on the number cubes is either 6 or 10 on your next turn, you win the game.
In the two fair number cubes, there are total 36 outcomes. In this fair,
Total number of outcome of rolling 6 is 5 (1,5),(2,4),(3,3),(4,2)(5,1)Total number of outcome of rolling 10 is 3 (4,6),(5,5),(6,4).Total number of favorable outcome is,
[tex]5+3=8[/tex]
Thus, the probability of getting these 8 outcomes from 36 outcomes is,
[tex]P=\dfrac{8}{36}\\P=0.222\\P=22.22\%[/tex]
Thus, the probability of winning on the next turn in a play of game that uses two fair number cubes is 0.2222 or 22.22%.
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Can anybody help me with any of these questions?
Answers
Answer:
I can't help sorry which grade ??
Korey’s comic book store has been up and running for 4 years. korey feels that his store has been successful and is considering moving to a larger property to allow for greater inventory and customer opportunities in his business. he would like investors to cover the cost of his expansion. the profits of korey’s comic book store for its first four years are outlined below. according to this information, what would be the best estimate for korey to quote as expected profits in the next year in his new business plan? year net profits 1 $14,250.00 2 $15,390.00 3 $16,621.20 4 $17,950.90 5 a. $20,550.19 b. $19,090.90 c. $19,280.60 d. $19,386.97 please select the best answer from the choices provided a b c d
Answers
Based on his net income growth rate over the past 4 years, Korey's comic book store can quote expected profits of $19,386.97.
What is the expected profit?The expected profit is the probability of getting a profit on a certain amount.
First, we need to find the rate of growth for his income
= (4th year income - 3rd year income) / 3rd-year income
= (17,950.90 - 16,621.20) / 16,621.20
= 8%
The expected income
= 4th year income x ( 1 + growth rate)
= 17,950 x ( 1 + 8%)
= $19,386.97.
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if 6 pairs of socks cost $6.90, what is the price for one pair of socks
Answers
Answer:
1.15
Step-by-step explanation:
6.90 divided by 6 is 1.15
Answer:
$1.15
Step-by-step explanation:
6.90/6 = 1.15
can someone help with this?
Answers
Explanation:
The proof can make use of the ASA congruence postulate.
__
Statement . . . . Reason
AB║CD, AD║BC . . . . definition of parallelogram
∠ACD ≅ ∠CAB, ∠ACB ≅ ∠CAD . . . . alternate interior angles theorem
ΔACD ≅ ΔCAB . . . . ASA congruence postulate
What translation is shown below?
Will mark brainlyest!
Answers
Explanation: start at A and counted down until I got to A prime
If 15 pies will serve 120 people, how many pies are needed for 152 people?
Answers
Answer:
nineteen
Step-by-step explanation:
120 people = 15 pies
divide both sides by 120
1 person = 15/120 pies
152 people = 15/120 x 152 pies
= 15/30 x 38 = 1/2 x 38 = 19
To find the answer, you divide 120 by 15, which is 8.
Offering 55 points to anybody that can solve this! Pls, it's due in like 30 mins!!
Answers
Answer:
Show image
Step-by-step explanation:
When reflecting on x-axis, the x-values stay the same and y-values change their signs.
When reflecting on y-axis, the x-values change signs and y-values stay the same.
Answer:
A B and C is there
Step-by-step explanation:
Id appreciate if youd give brainliest :)
Whats the surface area of this prism?
Answers
Answer:
25
Step-by-step explanation:
brainly keeps deleting my answer But its 7 + 12 + 6 = 25
What is the perimeter of triangle ACD?
Will mark brainlyest!!!
Answers
Answer:
12
Step-by-step explanation:
Perimeter: a + b + c
Now lets solve!!
5 + 4 + 3 = ?
9 + 3 = ?
12 = ?
Have an amazing day!!!
Please rate and mark brainliest!!
What is the quotient of (x3 – 3x2 3x – 2) ÷ (x2 – x 1)?
Answers
Answer:
-18x^2+3x-2/x
Step-by-step explanation:
2a x a x 3a + b x 4b
Simplify