Answers
Answer:
To prove that ΔABC ≅ ΔMQR using SAS, we show that two sides with the intersection angle are congruent.
From the diagram, it is shown that CA is congruent to RM.
From the first option, given that m∠A = 64° and AB = MQ = 31 cm, then we have CA = RM, AB = MQ, and CAB = RMQ (i.e. m∠A = m∠M = 64°).
This shows that the first option is correct.
From the second option, given that CB = MQ = 29 cm, then we have CA = RM, CB = MQ, but ACB is not congruent to RMQ.
Thus the second option in not correct.
From the third option, m∠Q = 56° and CB ≅ RQ, then we have CA = RM, CB = RQ, ACB = 60°, but we do not know the value of MRQ.
Thus the third option is not correct.
From the fourth option, m∠R = 60° and AB ≅ MQ, then we have CA = RM, AB = MQ, RMQ = 64°, but we do not know the value of CAB.
Thus the fourth option is not correct.
From the fifth option, AB = QR = 31 cm, then we have CA = RM, AB = QR, but we do not know the value of CAB or MRQ.
Thus, the fifth option is not correct.
Therefore, the additional information that could be used to prove ΔABC ≅ ΔMQR using SAS is m∠A = 64° and AB = MQ = 31 cm
The additional information could be used to prove ABC≅MQR using SAS will be m∠R = 60° and AB≅MQ. Option D is correct.
What are the conditions of the congruent triangle?Triangles that are equivalent in terms of size and form are known as congruent triangles.
The conditions for ABC≅MQR are;
m∠R = 60°
AB≅MQ
Using the new data, it is possible to demonstrate that m∠R = 60° and AB is equal to the MQ will result in ABC≅MQR using SAS.
Hence option D is correct.
To learn more about the congruent triangle refer;
https://brainly.com/question/12413243
#SPJ2
Related Questions
Consider the following statements:
I. As far as the significance level is concerned, a two-tailed hypothesis test is more accurate than a one-tailed hypothesis test.
II. A point estimation procedure utilizes information in a sample to arrive at two points, one positive and one negative in order to estimate the population parameter of interest.
a. I and II are both true.
b. I and II are both false.
c. I is true and II is false.
d. I is false and II is true.
e. I is false and II is sometimes true.
Answers
Answer:
b. I and II are both false.
Step-by-step explanation:
I. For a significance level, the two tailed hypothesis is not always accurate than the one tailed hypothesis test. The hypothesis testing is carried to find out the correctness of a claim of a population parameter. The two tail hypothesis test which used both positive and negative tails of the distribution is not always more accurate than one tailed test.
II. The process of the point estimation involves the utilization of the values of a statistic which is obtained from the sample data to obtain the best estimate of a corresponding unknown parameter in the given population.
Hence, both the statements are false.
Amy makes an initial investment of 5000$. The investment losses 13.5% each year. Find the amount Amy has at the end of 8 years
Answers
Answer:
156.71$
Step-by-step explanation:
[tex]A=P(1-r \%)^ t\\=500(1-13.5 \%)^8\\=500(0.865)^8\\\approx 156.71[/tex]
Suppose that the test score of a student taking the final of a probability course is a random variable with mean 76.
Required:
a. Give an upper bound for the probability that a student's test score will exceed 86. Suppose, in addition, that the professor knows that the variance of a student’s test score is equal to 25.
(b) What can be said about the probability that a student will score between 65 and 85?
c. How many students would have to take the examination to ensure, with probability at least .9, that the class average would be within 5 of 75? Do not use the central limit theorem.
Answers
Answer:
a. 0.8837
b. 0.6914
c. 10 student
Step-by-step explanation:
a. using markov's inequality; P(u >= X)<= E(u) / X
mean u = 76
X, test score = 86
= 76 / 86 = 0.8837
b. variance v = 25
The test is between 65 and 85 P(65 <= X <= 85);
P(|65 - X|<= |X - u| <= |85 - X|) = P(65 - 76 <= |X - u| <= 85 -76)
= P(-11 <= |X - u| <= 9)
= P(|X - u| <= 9)
using the chebyshev's inequality;
P(|X - u| <= 9) = 1 - variance / (standard deviation of individual test score)^2
= 1 - 25/ 9^2
= 1 - 25/81 = 1 - 0.3086 = 0.6914
c. P(|X - 76| <= 5) = 0.9
still using chebyshev's inequality;
= 1 - variance / lower limit^2 (E)
where E = 1 - 0.9 = 0.1
lower limit = 5
= 1 - 25/ 5^2 (0.1) = 10
Simplify -x+5+7x-2+2x+3
Answers
Answer:
on simplifying the answer would be 8x +8
Answer:
8x + 6
Step-by-step explanation:
add all x values together and all normal values together
-x+7x+2x=8x
5-2+3=6
{(-3.7).(-5, -8), (-6, -1). (-9, -1), (0, -3) }
Domain:
Range
Function?
State if it is a function or not
Answers
Answer:
The domain is the set of all the values of x, so it would be -3, -5, -6, -9, 0. The range would be every set of y, so it would be 7, -8, -1, -3. Finally, this relation is indeed a function.
Domain: -3, -5, -6, -9, 0
Range: 7, -8, -1, -3
Is it a function? Yes
Which lengths represent the sides of a right triangle?
A)
7, 24, 25
B)
8, 12, 16
C)
8, 24, 25
D)
9, 12, 13
Answers
Answer:
A
Step-by-step explanation:
Using Pythagorean theorem (a^2+b^2=c^2) you just plug them in. The hypotenuse is always the longest side so that would be 25. Then it doesn’t matter which side is a or b. 7^2+24^2=625
Then do the square root of 625.
Factor the polynomial expression 16y4 − 256x12.
Answers
Step-by-step explanation:
Using Difference of Squares,
16y⁴ - 256x¹²
= 16(y⁴ - 16x¹²)
= 16(y² + 4x⁶)(y² - 4x⁶)
= 16(y² + 4x⁶)(y + 2x³)(y - 2x³).
Step-by-step explanation:
16y4-256×12=16.(y4-16×12)An artifact had 16 grams of carbon-14 present. The decay model A=16e^-0.000121t describes the amount of carbon-14 present after t years. Use the model to determine how many grams of carbon-14 will be present in 8065 years
Answers
Answer:
129024.387
Step-by-step explanation:
16e^(-0.000121)*8065 = 129024.387
You are making sets of pens and pencils to sell . You want each set to contain the same combination of pens and pencils. You have 28 pens and 80 pencils, and you want to use them all. What is the greatest number of these sets you can make?
The answers are 4 sets, 7 sets, 10 sets, and 35 sets.
30 points! I really need u help, please and thank you .
Answers
Answer:
4 sets
Step-by-step explanation:
because you need to fit everything in perfectly
How much interest is earned in 2 years on an investment of $2,000? The interest rate
is 3%
A. 1200
B. $60
C. $600
D. $120
Please help I will give brainlist
Answers
Answer:
D. $120
Explanation:
P= principal amount, which is $2000 in this case
R= interest rate. In this case, it's 3% per year (or 0.03 in decimal form)
T= time, which in this case is 2.
To find the simple interest, we multiply 2000 × 0.03 × 2 to get 120.
I hope this helped! :)
Answer: 120 is the right answer i think im not sure
Step-by-step explanation:
Rob is saving to buy a new MP3 player. For every $14 he earns babysitting, he saves $8. On Saturday, Rob earned $28 babysitting. How much money did he save?
Answers
Answer:
$16
Step-by-step explanation:
If he saves $8 for every $14, he earned $28, which is twice the $14, he will save twice the $8 or $16.
Solve for x: 8x - 3 = 5(2x + 1)
Answers
Answer:
x = - 4
Step-by-step explanation:
Given
8x - 3 = 5(2x + 1) ← distribute
8x - 3 = 10x + 5 ( subtract 10x from both sides )
- 2x - 3 = 5 ( add 3 to both sides )
- 2x = 8 ( divide both sides by - 2 )
x = - 4
Answer:
x = - 4
Step-by-step explanation:
8x - 3 = 5(2x + 1)
8x - 3 = 5 × 2x + 5 × 1
8x - 3 = 10x + 5
8x - 10x = 3 + 5
- 2x = 8
2x = - 8
x = (- 8)/2
x = - 4
Thus, The value of x is -4
-TheUnknownScientist
order the numbers from least to greatest
Answers
Answer:
What numbers?
Step-by-step explanation:
Answer:
if you comment them Ill out them in least to greatest :)
Step-by-step explanation:
they are 1, 2, 3, 4, 5 if those are the numbers :)
411/3 + 388 = n - 79
Answers
Answer:
411/3 + 388 = 525 -79=446
Step-by-step explanation:
can u pls help me with this question
Answers
Answer:
If Clara gets 4 people in 10 phone calls, then she will obviously get 16 people, because there are 40 calls, with 4 people each 10 calls. Meanwhile, with Toby getting 3:8, he will get 15 people in total. 3:8 is equal to 15:40. Clara will have more people in 40 phone calls
Step-by-step explanation:
HELP PLEASE I REALLY NEED IT
Answers
Answer:
1.5
Step-by-step explanation:
The table below hows Craig’s incomplete net worth statement,Which of the following show the correct amounts for Total Assets and Total Liabilities?
Answers
Answer:
Total assets: 110,000
Total liabilities: 70,000
Step-by-step explanation:
I need help you'll get fourteen points plz fast
ASAP
Answers
Answer:
I think the right answer is c I'm sorry if you get it wrong
Answer:
pretty sure it's B
Step-by-step explanation:
sorry if wrong it was hard to read the picture it was very blurry
Assume that T is a linear transformation. Find the standard matrix of T. T: R^3 right arrow R^2 , T(e 1) =(1,2), and T(e2 ) =( -4,6), and T(e 3 ) =(2, -6), where e 1, e2 , and e 3 are the columns of the 3 x 3 identity matrix. A= (Type an integer or decimal for each matrix element.)
Answers
Answer:
[tex]A = \left[\begin{array}{ccc}1&-4&2\\2&6&-6\end{array}\right][/tex]
Step-by-step explanation:
Given
[tex]T:R^3->R^2[/tex]
[tex]T(e_1) = (1,2)[/tex]
[tex]T(e_2) = (-4,6)[/tex]
[tex]T(e_3) = (2,-6)[/tex]
Required
Find the standard matrix
The standard matrix (A) is given by
[tex]Ax = T(x)[/tex]
Where
[tex]T(x) = [T(e_1)\ T(e_2)\ T(e_3)]\left[\begin{array}{c}x_1&x_2&x_3\\-&&x_n\end{array}\right][/tex]
[tex]Ax = T(x)[/tex] becomes
[tex]Ax = [T(e_1)\ T(e_2)\ T(e_3)]\left[\begin{array}{c}x_1&x_2&x_3\\-&&x_n\end{array}\right][/tex]
The x on both sides cancel out; and, we're left with:
[tex]A = [T(e_1)\ T(e_2)\ T(e_3)][/tex]
Recall that:
[tex]T(e_1) = (1,2)[/tex]
[tex]T(e_2) = (-4,6)[/tex]
[tex]T(e_3) = (2,-6)[/tex]
In matrix:
[tex](a,b)[/tex] is represented as: [tex]\left[\begin{array}{c}a\\b\end{array}\right][/tex]
So:
[tex]T(e_1) = (1,2) = \left[\begin{array}{c}1\\2\end{array}\right][/tex]
[tex]T(e_2) = (-4,6)=\left[\begin{array}{c}-4\\6\end{array}\right][/tex]
[tex]T(e_3) = (2,-6)=\left[\begin{array}{c}2\\-6\end{array}\right][/tex]
Substitute the above expressions in [tex]A = [T(e_1)\ T(e_2)\ T(e_3)][/tex]
[tex]A = \left[\begin{array}{ccc}1&-4&2\\2&6&-6\end{array}\right][/tex]
Hence, the standard of the matrix A is:
[tex]A = \left[\begin{array}{ccc}1&-4&2\\2&6&-6\end{array}\right][/tex]
a loan of 38000 is made of 3% interest, compounded annualy. after how many years will the amount due reach 49000 or more
Answers
Answer:
the time period is 9 years
Step-by-step explanation:
The computation of the number of years is as follows:
As we know that
Future value = Present value × (1 + rate of interest)^number of years
$49,000 = $38,000 × (1 + 0.03)^number of years
$49,000 ÷ $38,000 = 1.03^number of years
tlog(1.03) = log($49 ÷ $38)
Now apply the log formula in calculator or in excel
t = log(49 ÷ 38) / log(1.03)
= 8.6
= 9 years
Hence, the time period is 9 years
Your family’s meal at a restaurant costs $42.00. If you leave a tip of 20%, what will be the total cost?
Answers
Answer:
[tex]\$50.4[/tex]
Step-by-step explanation:
[tex]As\ we\ given,\\Actual\ cost\ for\ the\ family\ meal= \$ 42\\Additional\ cost\ percent\ to\ the\ meal\ as\ the\ tip=20 \%\\We\ know\ that,\\Additional\ Cost\ for\ the\ tip= Cost\ percent\ of\ the\ tip* Actual\ price\\ of\ the\ meal\\Hence\ by\ substituting\ the\ values,\\Additional\ Cost\ for\ the\ tip=20 \%*42\\Additional\ Cost\ for\ the\ tip=\frac{20}{100} *42\\Additional\ Cost\ for\ the\ tip=\frac{1}{5}*42\\Additional\ Cost\ for\ the\ tip=\$ 8.4\\[/tex]
[tex]Hence,\\Total\ Cost\ of\ the\ dine=Additional\ Cost\ for\ the\ tip+Actual\ Cost\ of\\ the\ meal\\Hence,\\Total\ Cost\ of\ the\ dine=42+8.4=\$50.4[/tex]
Does -3/4 equal 3/(-4)?
Answers
Answer:
Yes
Step-by-step explanation:
When you're dividing 2 numbers, the order of the negatives doesn't matter. As long as one of the numbers is negative, the result will be negative. Since the order of these numbers are the same (with 3 first and 4 second) they will have the same value.
Chose the correct description of the graph of the inequality: -2x > 8
A number line with an open circle on -4, shaded to the left.
A number line with a closed circle on -4, shaded to the left.
A number line with a closed circle on -4, shaded to the right.
A number line with an open circle on -4, shaded to the right.
Answers
Explanation: -2x/-2 > 8/-2 = x < -4
Here's a screenshot of the answer below:
A crate of bananas has a mass of 674.8 dekagrams. What is the mass of the crate of bananas in centigrams? Use the metric table to help answer the question. Metric Table kilo- hecto- deka- unit deci- centi- milli- 1,000 100 10 1 0.1 0.01 0.001 0.6748 centigrams 6.748 centigrams 67,480 centigrams 674,800 centigrams
Answers
Answer:
674,800
Step-by-step explanation:
Answer:
674,800
Step-by-step explanation:
I did the unit test on edge 2021
What is the solution to the equation represented by the model below?
x = negative 14
x = negative 2
x = 2
x = 14
Answers
Answer:
2x + 4
To model 2x+4, you need :
2 positive x-tiles to represent 2x.
4 positive unit tiles to represent 4.
3x+(-1)
To model 3x+(-1), you need :
3 positive x-tiles to represent 3x.
1 negative unit tile to represent (-1).
if its wrong sorry u can report me
I am terrible at fractions will anyone help me out please and thank you?
Answers
Answer:
2
3
4
Step-by-step explanation:
Gochu
The following are the last 10 run scores Colin got in cricket: 1, 16, 5, 25, 26, 32, 5, 7, 1, 7 a) Work out Colin's mean score. b) Colin plays cricket again on Sunday. He gets 29 runs. What is his new mean score? Give your answers as decimals.
Answers
Answer:
a. 12.5 b. 14
Step-by-step explanation:
If you add all of the scores together (125) and then divide by the the number of scores in the sequence (10), you get 12.5, and then you need to add the 29 on to 125 and divide that by 11, because thats the new amount of numbers in the sequence, to get 14.
Find the area of the polygon below.
Answers
Answer:
assuming each square equals 1 the answer would be 29
Robert has 26 coins that are all nickels and dimes. The value of the coins is $1.85. How many of each does he have?
Answers
Answer:
he has 11 dimes and 15 nickels
Step-by-step explanation:
i kept going down reducing the amount of dimes and adding to the amount of nickels and found that 11 dimes is $1.10 and 15 nickels is $0.75
I NEED HELP WHAT IS THE ANSWER FOR PART (A) AND PART (B) I’ll cash app or Venmo if I give me answers by today please help.
Answers
Answer:
9/2 is the slope of the graphed line.
The second statement is true.
Step-by-step explanation: