Answers
Answer:
38. x = 60
40. x = 10
Step-by-step explanation:
38.
The segment labeled 30 connects the midpoints of two sides of a triangle, so it is parallel and half the length of the third side.
x = 2 * 30 = 60
40.
Look at the big outer triangle.
Its left side has length x. It is made up of two segments that are congruent.
The right side of the big triangle is made up of two segments that are congruent and are also congruent to the segments of the left side. That makes the left and right sides of the big triangle congruent. This is an isosceles triangle, so its base angles are congruent. The left base angle measures 60, so the right base angle also measures 60. That means the top angle also measures 60. This triangle is isosceles and equilateral.
Since the segment measuring 5 has endpoints that are midpoints of two sides of a triangle, it is parallel to the third side and half its length.
The bottom side of the triangle measures 2 * 5 = 10. Since the triangle is equilateral, then x = 10.
Related Questions
Messi scored one goal every 82 minutes.How many goals did he score if he played for 4453 minutes in a season.
Answers
Answer:
Step-by-step explanation:
I’m not sure but I need points
Answer:
54
Step-by-step explanation:
divide
What is the distance between the points (2, 3) and (5, -4)?
Answers
Answer:
7.6158
Step-by-step explanation:
What is the slope of the line that contains these points?
x 12 13 14 15
y -4 , 2 8 14
Δ⊕∞∵∴α∞→←⇅≡∝αβΔωπ
Answers
if (x1,y1) is (13,2) and (x2,y2) is (15,14)
(2-14)/(13-15)=6
Totsakan school is selling tickets to a choral performance on the first day of ticket sales the school sold 10 senior tickets and 1 child ticket for a total of $85 the school took in $75 on the second day by selling 5 senior citizens tickets and 7 child tickets find the price of a senior ticket and the price of a child ticket
Answers
Given :
On the first day of ticket sales the school sold 10 senior tickets and 1 child ticket for a total of $85 .
The school took in $75 on the second day by selling 5 senior citizens tickets and 7 child tickets.
To Find :
The price of a senior ticket and the price of a child ticket.
Solution :
Let, price of senior ticket and child ticket is x and y respectively.
Mathematical equation of condition 1 :
10x + y = 85 ...1)
Mathematical equation of condition 2 :
5x + 7y = 75 ...2)
Solving equation 1 and 2, we get :
2(2) - (1) :
2( 5x + 7y - 75 ) - ( 10x +y - 85 ) = 0
10x + 14y - 150 - 10x - y + 85 = 0
13y = 65
y = 5
10x - 5 = 85
x = 8
Therefore, price of a senior ticket and the price of a child ticket $8 and $5.
Hence, this is the required solution.
Karen plans to put new carpet on the floor of a rectangular room. The dimensions of the room are 24 feet by 15 feet. Carpet is sold by square yards. What is the area, in square yards, of Karen’s room?
Answers
Answer:
the answer would be 120 square yards
Step-by-step explanation:
you multiply the 15 and 24 then after that you divide the out come by 3 because a square yard is 3 by 3
The hypotenuse of a right triangle is 8.2 inches long and one of the legs is 6.4 inches long. What is the length of the other leg?
Answers
Answer:
5.1
Step-by-step explanation:
To solve this equation I will use the formula a²+b²=c². For these terms I will represent the missing value as the variable a. The equation should be renewed as this: a²+6.4²=8.2², simplified: a²+40.96=67.24. I will now subtract 40.96 from 67.24 to get "a" by itself, as of which now I have a²=26.28. Next I square root both values: √a² =√26.28. The final answer is "a"= 5.1264022471905, otherwise, when rounded, "5.1". Hopefully this helps. A word of advice, when a problem gives you two values for a triangle, always refer to the equation a²+b²=c², as you will always find the missing value. Also remember that the legs cannot be of greater value than the hypotenuse which is the diagonal line. The hypotenuse is always "c".
When solving an equation, Henry gets to the last line of hi work and is left with “3=3”. What does this mean?
Answers
There are infinite amounts of solution
I learned this way back in 8th grade
Which of these expressions shows like terms?
Your answer:
3x +3y
2x +2x^2
2x+3x
2x^2 +3y^2
Please help! Need Now!
Answers
Answer:
C
Step-by-step explanation:
2x+3x Have the same variable. Therefore they both have like terms
help!!!!!!!!!!!!!!!!!
Answers
Answer:
5.2
Step-by-step explanation:
√27 = 5.1962 (5s.f.) = 5.2 (2s.f.)
Answer:
i hope 5.2 is the answer
Step-by-step explanation:
i m not sure
I need help please.
What are the answers at least for the first one. Please help.
Answers
the second box is 50
the third box is 8
you’re welcome
Answer:
1. 0 weeks
2.$50 in savings
3.8 weeks
4. $90 in savings
Step-by-step explanation:
help me pleaseeeeeeeee help nowww
Answers
Answer:
IT'S A. HEHEHEHEHEHEHE
help i’ll give brainliest if it’s right
Answers
Answer:
C
Step-by-step explanation:
The vertices of a triangle are P(–2, –3), Q(–4, –2), and R(4, 8). What are the vertices of the image reflected across the y-axis?
P(–2, 3), Q(–4, 2), and R(4, -8)
P(2, –3), Q(4, –2), and R(-4, 8)
P(–2, –3), Q(–4, –2), and R(4, 8)
P(-3, -2), Q(-2, -4), and R(8, 4)
Answers
Answer:
[tex]\huge\boxed{P(2;\ -3);\ Q(4;\ -2)\ \text{and}\ R(-4;\ 8)}[/tex]
Step-by-step explanation:
[tex]A(x;\ y)\xrightarrow{S_{OY}}A'(-x;\ y)\\\\\text{The abscissa changes to the opposite:}\ x\to -x\\\\\text{Therefore}\\\\P(-2;\ -3)\xrightarrow{S_{OY}}P'(2;\ -3)\\\\Q(-4;\ -2)\xrightarrow{S_{OY}}Q'(4;\ -2)\\\\R(4;\ 8)\xrightarrow{S_{OY}}R'(-4;\ 8)[/tex]
Can you guys plz help me
Answers
Answer:
[tex]\frac{20}{12}[/tex]
Step-by-step explanation:
Answer:
20/12 since 3*4 is 12 u do 5*4
Step-by-step explanation:
Please mark brainliest and hope this helps ya!!
Solve the triangle, find m∠A and m∠C. Round angles to the nearest degree.
m∠A= __∘
m∠C= __∘
Answers
Answer:
[tex]m\angle A=63^\circ\\m\angle C=26^\circ[/tex]
Step-by-step explanation:
Trigonometric Ratios
The ratios of the sides of a right triangle are called trigonometric ratios. The longest side of the triangle is called the hypotenuse and the other two sides are called the legs.
Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides.
The cosine ratio is defined as:
[tex]\displaystyle \cos\theta=\frac{\text{adjacent leg}}{\text{hypotenuse}}[/tex]
Note the angle A of the figure has 17 as the adjacent leg and 38 as the hypotenuse, so we can directly apply the formula:
[tex]\displaystyle \cos A=\frac{17}{38}[/tex]
[tex]\cos A=0.4474[/tex]
Using a scientific calculator, we get the inverse cosine:
[tex]A=\arccos(0.4474)[/tex]
[tex]A\approx 63^\circ[/tex]
Since A+B+C=180°, we can solve for C:
C = 180° - A - B
C = 180° - 63° - 90°
C = 26°
Thus:
[tex]m\angle A=63^\circ\\m\angle C=26^\circ[/tex]
In the given right triangle ABC, m∠A ≈ 26.44° and m∠C ≈ 63.56°.
To solve the right triangle ABC, we can use trigonometric ratios. In a right triangle, the three main trigonometric ratios are:
1. Sine (sin): [tex]\(\sin(\theta) = \frac{{\text{opposite side}}}{{\text{hypotenuse}}}\)[/tex]
2. Cosine (cos): [tex]\(\cos(\theta) = \frac{{\text{adjacent side}}}{{\text{hypotenuse}}}\)[/tex]
3. Tangent (tan): [tex]\(\tan(\theta) = \frac{{\text{opposite side}}}{{\text{adjacent side}}}\)[/tex]
Given:
AC = 38
AB = 17
To find the angles m∠A and m∠C, we can use the sine and cosine ratios, respectively.
1. For m∠A:
[tex]\(\sin(m\angle A) = \frac{{AB}}{{AC}} = \frac{{17}}{{38}}\)\\\\\(m\angle A= \sin^{-1}\left(\frac{{17}}{{38}}\right)\)[/tex]
2. For m∠C:
[tex]\(\cos(m\angle C) = \frac{{AB}}{{AC}} = \frac{{17}}{{38}}\)\\\\\(m\angle C = \cos^{-1}\left(\frac{{17}}{{38}}\right)\)[/tex]
Let's calculate the angles:
[tex]1. \(m\angle A \approx \sin^{-1}\left(\frac{{17}}{{38}}\right) \approx 26.44^\circ\)\\\\2. \(m\angle C \approx \cos^{-1}\left(\frac{{17}}{{38}}\right) \approx 63.56^\circ\)[/tex]
Therefore, m∠A ≈ 26.44° and m∠C ≈ 63.56° (rounded to the nearest degree).
To know more about right triangle, refer here:
https://brainly.com/question/31613708
#SPJ2
Plssss helpppp ASAPP
will mark BRAINLIEST!!!
Answers
Answer:
I would say the last one
Step-by-step explanation:
The third works the same way but 46/17 is hard to calculate without a calculator
Explanation: You can solve the problem using the elimination method, and that is what the question asks for!
MARK ME AS BRAINLIEST ANSWER
Perform the indicated operations:
-1
4
-4
4
-4
-1
6
-7
-4
-7
-4
2R2 + R3 R3
-4
6
2
-4
8
2
6
-4
30
Answers
Answer:
Step-by-step explanation:
The solution is, resulting matrix:[tex]\left[\begin{array}{ccc}4&-1&-4\\-4&6&2\\0&8&10\end{array}\right][/tex][tex]\left[\begin{array}{ccc}-7\\-4\\22\end{array}\right][/tex].
What is Matrix?In mathematics, a matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object. For example, is a matrix with two rows and three columns.
here, we have,
given that,
We are given a matrix,
Let A=[tex]\left[\begin{array}{ccc}4&-1&-4\\-4&6&2\\8&-4&6\end{array}\right][/tex]
and B=[tex]\left[\begin{array}{ccc}-7\\-4\\30\end{array}\right][/tex]
We have to find the resulting matrix after performing given row operations
2R2 +R3 ⇒ R3
Apply
we get,
:A=[tex]\left[\begin{array}{ccc}4&-1&-4\\-4&6&2\\0&8&10\end{array}\right][/tex]
and, B=[tex]\left[\begin{array}{ccc}-7\\-4\\22\end{array}\right][/tex]
Hence, resulting matrix
[tex]\left[\begin{array}{ccc}4&-1&-4\\-4&6&2\\0&8&10\end{array}\right][/tex][tex]\left[\begin{array}{ccc}-7\\-4\\22\end{array}\right][/tex]
To learn more on matrix click:
brainly.com/question/30646566
#SPJ7
What figure models 6 divided by 3/2?
(6 divided by 3/2 equals 4)
NEEDS HELP NOW!
BRAINLIEST!
Answers
Pls mark brainliest
how would you solve
y - 4 = 3
Answers
Answer:
Y = 7
Step-by-step explanation:
You would add 4 to both sides to cancel out the -4. That leaves y by itself equaling 7.
The solution of the equation y – 4 = 3 will be 7.
What is the solution of the equation?The solution of the equation means the value of the unknown or variable.
The equation is given below.
y – 4 = 3
Add 4 on both sides, we have
y – 4 + 4 = 3 + 4
y = 7
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ2
Can someone pls help me I’m really struggling
Answers
what is 4y³ - 3z⁴ when y=3 and z=2 =
Answers
Answer:
60Step-by-step explanation:
4(y)3 - 3(z)4
Sub:- 4(3)raise to three - 3(2)raise to four
4(27)-3(16)
4*27-3*16
108-48
=60.
There is a relationship between the expected number of tickets sold for a raffle and the dollar value of the prize for the raffle. The equation T - 6P = 100 describes this relationship, where T is the expected number of tickets sold, and P is the dollar value of the raffle prize. Suppose the expected ticket sales for a certain raffle are 1900. Determine the dollar value of the raffle prize.
Answers
Answer: The dollar value of the raffle prize = 300
Step-by-step explanation:
Given: The equation T - 6P = 100 describes this relationship, where T is the expected number of tickets sold, and P is the dollar value of the raffle prize.
If T =1900
Then,
[tex]1900-6P=100[/tex] [Put T=1900 in given equation]
[tex]\Rightarrow\ 6P=1900-100\\\\\Rightarrow\ 6P= 1800\\\\\Rightarrow P=\dfrac{1800}{6}\\\\\Rightarrow\ P=300[/tex]
Hence, the dollar value of the raffle prize = 300
The number of violent crimes committed in a day possesses a distribution with a mean of 2.8 crimes per day and a standard deviation of 4 crimes per day. A random sample of 100 days was observed, and the sample mean number of crimes for the sample was calculated. Describe the sampling distribution of the sample means.
Answers
Answer:
The distribution is approximately normal with mean = 2.8 and standard error = 0.4
Step-by-step explanation:
We are given;
Mean; μ = 2.8
Standard deviation; σ = 4
Sample size; n = 100
Now, the central limit theorem states that the sample mean with a sample size(n) from a population mean (μ) and population standard deviation(σ) will, for large value of n, have an approximately normal distribution with mean μ and standard error as (σ/√n)
The sample size is 100 and thus it's very large because it's bigger than minimum of 30 for approximate distribution.
Thus, SE = (σ/√n) = 4/√100 = 4/10 = 0.4
Thus,from the central limit theorem I described, we can say that the distribution is approximately normal with mean = 2.8 and standard error = 0.4
I NEED HELP AGAIN PLEASE!!
Answers
Answer:
A
Step-by-step explanation:
Select the correct answer.
Mel created a scatter plot and drew a line of best fit, as shown
Answers
Answer:
C. y = 2/3x + 6
Step-by-step explanation:2/3 is the slope and 6 is the y intercept.
Yaneev thinks of a number y. He subtracts three from the number, then doubles it. What is the final result, in terms of y?
Answers
Answer:
y = 6
Step-by-step explanation:
2(y - 3) = y
2y - 6 = y
y = 6
Hope that works out :)
-1
A line's y-intercept is 0, and its slope is
20
What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Submit
Answers
Answer:
y=20x
Step-by-step explanation:
do do I intercept a zero, so you don't have a "b"
The slope is 20. that's pretty self-explanatory
A television was marked down by 1/5 of the original price. a. If it was originally $150.00, how much is the sale price? The salesperson receives 1/10"commission on the sale price of the TV. How much does he make on the sale?
Answers
Choose the answer below that makes the following expression true:
108 ÷ ‒12
A.
9
B.
96
C.
‒9
D.
‒96
Answers
Answer:
-9.
Step-by-step explanation:
Which is c
Hope this helped
Helps me solve this problem please
Answers
Answer:
the slope is negative....