Answers
Answer:
Step-by-step explanation:
I'll let you solve it, but I will tell you how to
Ever heard of Thales theorem? If you haven't, here's what it is:
If a line parallel to one of the bases of a triangle is drawn, then the new triangle formed and the original triangle are similar
Why? They are similar because of AA (two equal angles):
∠AEB = ∠ADC since EB and DC are parallel (on a transversal they are corresponding angles which are congruent)
∠ABE = ∠ACD since EB and DC are parallel (on a transversal they are corresponding angles which are congruent)
Now this is enough information to determine that they are similar, but just for good measure, ∠A is common to both triangles so:
∠A = ∠A because of reflexive property
Now that we know they are similar, corresponding parts of similar triangles are similar
Create a ratio and solve is by cross-multiplying
Let me know if you have any questions! Hope this helps! Have a nice day/night :)
The length of BC in the figure below of triangle is 24.
We can use the Pythagorean Theorem to solve for the length of BC. The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. In this case, the hypotenuse is BC, and the other two sides are AB and AC.
[tex]AB^2[/tex] + [tex]AC^2[/tex] = [tex]BC^2[/tex]
We are given that AB = 16 and AC = 12. Plugging these values into the equation, we get:
[tex]16^2[/tex] + [tex]12^2[/tex] = [tex]BC^2[/tex]
256 + 144 = [tex]BC^2[/tex]
400 = [tex]BC^2[/tex]
BC = 20
Therefore, the length of BC is 20.
Here are the steps in detail:
Identify the right triangle in the figure.
Label the sides of the triangle with the letters A, B, and C, where C is the hypotenuse.
Substitute the known side lengths into the Pythagorean Theorem.
Solve for the length of BC.
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Related Questions
nine more than the quotient of 2 and a number of x
Answers
Answer: 9 + 2/x - x = -19
Which of the following examples has a unit rate of 70 miles per hour? Select all
that apply.
A) 210 miles in 3 hours
B) 420 miles in 6 hours
C) 280 miles in 5 hours
D) 560 miles in 8 hours
E) 560 miles in 7 hours
Answers
Answer:
A, B and D are the answers.
Answer:
A, B, D.
Step-by-step explanation:
40 of the cats at the pet store are black, which is 25% of all cats. How many cats are there at the pet store
Answers
Answer:
There are 160 cats at the store.
Step-by-step explanation:
There are 40 black cats, which is 25% of all the cats. You are trying to find all the cats at the store, or 100% of the cats at the store. So:
40 = 25%
40(4) = 25% (4)
160 = 100%
There are 160 cats at the store.
Answer:
160
Step-by-step explanation:
25%=1/4=0.25
=40×4
=160
hi good day plss help me plssssssssss i need yoyre help now plss
Answers
Answer:
6.c 7.c 8. b 9. a 10. a
Step-by-step explanation:
6=c as 39.10-19.56
7. 89.2-78.6
8. 8.03-5.1
9. 40.98-15.6
10.55.6-47.5
Simplify: (8 2/3) ^ 4
Answers
Answer:
the answer is 558175
may it help you
How much would you need to deposit in an account now in order to have $2000 in the account in 15
years? Assume the account earns 2% interest compounded monthly.
Answers
4000 mcmcnxmamnxmxmnxnxns
What is the volume of a sphere that has a radius that measures 3 feet?
Answers
Answer:
About V≈113.1ft³
Step-by-step explanation:
Which group contains triangles that are similar. im having a hard time
Answers
Answer:
1st group contains triangles that are similar
Step-by-step explanation:
since its opposite corresponding angle are equal.
In the cylinder, the radius of the circular base is 3.5 centimeters, and the height of the cylinder is 11 centimeters. The volume of the cylinder is
Answers
Answer:
33.69[tex]\pi[/tex] or 105.83
Step-by-step explanation:
Volume for a cylinder is
V= [tex]\pi r^{2}h[/tex]
we need to find the radius from the base
B = 2[tex]\pi[/tex]r
B= 3.5/2 = 1.75
V =[tex]\pi 1.75^{2}*11[/tex]
V = 33.69[tex]\pi[/tex] or 105.83 depending if you want it in pi for or not
Factorise the expressions.
Answers
Answer:
Q.1 lx²+mx
=x(lx+m)
Q.2 x² - ax - bx + ab
= x(x - a) - b(x - a)
=(x - b)(x - a)
Q.3 6ab - b²+ 12ac - 2bc
= b(6a - b) - 2a(6a - b)
=(b - 2a)(6a - b)
Help meeeeeeeee please!!!!
Answers
Answer:
C
Step-by-step explanation:
Amy’s watch loses time at the rate of 3 minutes every 5 days. Fine the number of days before the watch loses one hour or time
Please note that this is directly proportional applications and the formula is output unit/input unit times input unit
Answers
Answer:
100 daysStep-by-step explanation:
3 min loss ⇔ 5 days60 min loss ⇔ x daysCross multiply and solve for x:
3x = 5*603x = 300x = 300/3x = 100 daysAnswer this ASAP the last question that due 5 minutes
Answers
Answer:
C
Step-by-step explanation:
If you graph the points, count boxes from the orgin (0,0).
You will have to go 3 to the right (on x), and up 6 (on y).
Can please someone help with this two problems?
Answers
Answer:
A and C
Step-by-step explanation:
20) Since the triangles are similar, you can say that 98 corresponds to 42 and 77 corresponds to 3x+6, because of this you can write an equation ((98/77)(3x-6) =42) and then simplify to get x = 13.
21) Since ABC and DFE are similar, we can say that 2x+2 corresponds to x+3 and 24 corresponds to 16. You can write this as the equation (24/2x+2)(x+3) = 16 and simplify to get x=5.
I hope this helps :)
cuantas horas son de 7am a 7pm
Answers
Hi please help me i will mark as brainiest just please help!
Answers
Answer:
B
Step-by-step explanation:
Kahlil wants it to be more than 10 seconds long, and his friend wants it 5 seconds longer than that. So it has to be at least 10 + 5 seconds long or 15 seconds. B is the only option with >15, and all the possible track lengths below satisfy the inequality.
Kia donated a $20 bill plus 1 of
the balance in her short-term savings
account to a medical fundraiser. If Kia
donated a total of $100, how much was
in her short-term savings account?
Answers
$100 - $20 = $80
Understand?
Jessica has just purchased a new purse in the shape of a rectangular box to match her favorite shoes. The purse has a length of 15 cm, a width of 6.4 cm, and a height of 8 cm. What is the volume of the purse?
Answers
2 -7
-9
5
Given A=
and B-
6
1
-1
If X-A=B, what is X?
-2
O
7
0
-11
12
-2
-5
-7 -12
5
0
11-12
Answers
Answer:
it is b furqufhrfhquh quf hqhf
Step-by-step explanation:bfygefy eyfeyfyewfyefwef eqf
\fn qf7f
The value of the matrix X is X = [tex]\left[\begin{array}{ccc}-7&-2\\7&0\\\end{array}\right][/tex].
What are Matrices?Matrices are a set of numbers arranged in such a way that the numbers are arranged in rows and columns.
Each number is called element in a matrix.
Given are two matrices.
A = [tex]\left[\begin{array}{ccc}2&-7\\6&1\\\end{array}\right][/tex] and B = [tex]\left[\begin{array}{ccc}-9&5\\1&-1\\\end{array}\right][/tex]
We have given that, a matrix X exists such that,
X - A = B
We can rearrange this as,
X = A + B
Adding the two matrices,
The entries will be,
2 - 9 = -7
-7 + 5 = -2
6 + 1 = 7
1 - 1 = 0
X = [tex]\left[\begin{array}{ccc}-7&-2\\7&0\\\end{array}\right][/tex]
Hence the X is option A.
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Hassan sells fruits and vegetables at the marketThe mass of fruit and vegetables are in the ratio.
Fruit: vegetables = 5:7
If Hassan sells 1.33 tones of vegetables
then how many kilograms of fruits did he sell?
Answers
Answer:
950 kilograms
Step-by-step explanation:
Fruit: vegetables = 5:7
Fruit = 5
Vegetable = 7
Total ratio = 5 + 7 = 12
If Hassan sells 1.33 tones of vegetables
1 tonne = 1000 kilograms
1.33 tonnes of vegetables = 1330 Kilograms of vegetables
how many kilograms of fruits did he sell?
Let kilograms of fruits sold = x
Fruit: vegetables = 5:7
Fruit: vegetables = x : 1330
5 : 7 = x : 1330
5/7 = x/1330
Cross product
5 * 1330 = 7 * x
6,650 = 7x
x = 6,650/7
x = 950 kilograms
kilograms of fruits sold = 950 kilograms
Two competing headache remedies claim to give fast-acting relief. An experiment was performed to compare the mean lengths of time required for bodily absorption of brand A and brand B headache remedies. Twelve people were randomly selected and given an oral dose of brand A and another 12 people were randomly selected and given an oral dose of brand B. The lengths of time in minutes for the drugs to reach a specified level in the blood were recorded. The mean and standard deviation for brand A was 21.8 and 8.7 minutes, respectively. The mean and standard deviation for brand B was 18.9 and 7.5 minutes, respectively. Past experience with the drug composition of the two remedies permits researchers to assume that both distributions are approximately Normal. Let us use a 5% level of significance to test the claim that there is no difference in the mean time required for bodily absorption.
Required:
Find or estimate the p — value of the sample test statistic.
Answers
Answer:
[tex]t = 0.875[/tex]
Step-by-step explanation:
Given
Brand A Brand B
[tex]n_ 1= 12[/tex] [tex]n_2 = 12[/tex]
[tex]\bar x_1 = 21.8[/tex] [tex]\bar x_2 = 18.9[/tex]
[tex]\sigma_1 = 8.7[/tex] [tex]\sigma_2 = 7.5[/tex]
Required
Determine the test statistic (t)
This is calculated as:
[tex]t = \frac{\bar x_1 - \bar x_2}{s\sqrt{\frac{1}{n_1} + \frac{1}{n_2}}}[/tex]
Calculate s using:
[tex]s = \sqrt{\frac{(n_1-1)*\sigma_1^2+(n_2-1)*\sigma_2^2}{n_1+n_2-2}}[/tex]
The equation becomes:
[tex]s = \sqrt{\frac{(12-1)*8.7^2+(12-1)*7.5^2}{12+12-2}}[/tex]
[tex]s = \sqrt{\frac{1451.34}{22}}[/tex]
[tex]s = \sqrt{65.97}[/tex]
[tex]s = 8.12[/tex]
So:
[tex]t = \frac{\bar x_1 - \bar x_2}{s\sqrt{\frac{1}{n_1} + \frac{1}{n_2}}}[/tex]
[tex]t = \frac{21.8 - 18.9}{8.12 * \sqrt{\frac{1}{12} + \frac{1}{12}}}[/tex]
[tex]t = \frac{21.8 - 18.9}{8.12 * \sqrt{\frac{1}{6}}}[/tex]
[tex]t = \frac{21.8 - 18.9}{8.12 * 0.408}}[/tex]
[tex]t = \frac{2.9}{3.31296}}[/tex]
[tex]t = 0.875[/tex]
Is the expression 6(1 + m) equal to 6 + 6m? Why or why not? How do you know?
Answers
Answer:
Yes, they are equal because of distributive property
Step-by-step explanation:
6(1 + m) = 6 + 6m
Suppose you are to select a password of size 4. The first character should be any lowercase letter or a digit, while the second should be a non-zero digit. The third should be any lower case letter, and the fourth should be any lowercase letter, which is different from the third. b. Consider a group of ten students, and six of them are boys. A committee of 3 students is expected to select from the above group. How many committees can you select with at least two girls
Answers
First question seems incomplete :
Answer:
40 ways
Step-by-step explanation:
Question B:
Number of boys = 6
Number of girls = 4
Number of people in committee = 3
Number of ways of selecting committee with atleast 2 girls :
We either have :
(2 girls 1 boy) or (3girls 0 boy)
(4C2 * 6C1) + (4C3 * 6C0)
nCr = n! ÷ (n-r)!r!
4C2 = 4! ÷ 2!2! = 6
6C1 = 6! ÷ 5!1! = 6
4C3 = 4! ÷ 1!3! = 4
6C0 = 6! ÷ 6!0! = 1
(6 * 6) + (4 * 1)
36 + 4
= 40 ways
giving brainliest !! *easy*
Answers
Line a is parallel to line b. If the
measure of Z2 is 78°, what is the
measure of Z8?
78° =21
314
615
78
b
Answers
This is because alternate exterior angles are congruent when we have parallel lines like this.
Angle 2 and angle 8 are both outside the parallel lines, so that's what makes them exterior angles. Also, they are on alternating sides of the transversal line (angle 2 on the left, angle 8 on the right). So that's where the "alternating" comes from. The other pair of alternate exterior angles is angle 1 and angle 7.
The table shows values for the equations of a system:
What x-values are a solution to the system?
Select each correct answer
x=-3
x=-2
x=-1
x=0
x=1
x=2
x=3
Answers
According to the table, the solutions to the system of equations are x = 0 and x = 1.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the equations are:
[tex]y_1 = 0.25^x[/tex]
[tex]y_2 = -0.75x + 1[/tex]
The solutions are the values of x for which:
[tex]y_1 = y_2[/tex]
Looking at the table, the solutions to the system of equations are x = 0 and x = 1.
More can be learned about a system of equations at https://brainly.com/question/24342899
Solve the following inequalities and give the solutions in both set and interval notations.
-2x + 5 < -x + 25
Answers
4y + 3 > 23 subtract 3 from both sides
4y > 20 divide both sides by 4
y > 5
-2y > -2 divide both sides by -2 (the order changes)
y < 1
(-oo, 1) ∪ (5, oo)
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Solve: 64-3x-3 .64+22=38
Answers
4.0/5
136
The answer is x = -8/9.
Hope you have a good rest of your day. :)
Answer:
B. [tex]x=-\frac{8}{9}[/tex]
Step-by-step explanation:
edge 2021
:) Good luck, loves!
Please any help i need it now please
i will mark you brill
Answers
Answer:
(x+2.25) ×24
This is how it is written
Answer:
Step-by-step explanation:
y = 24*(x + 2.25)
There, that's an algebraic expression for 24 times the sum of a number and 2.25.
Jayden wants to lay sod on his front yard and on half of his back yard. His front yard has a length of 50 feet and a width of 80 feet. His back yard has a length of 20 feet and a width of 30 feet. How many square feet of sod does Jayden need to purchase? OA. 4,300 square feet OB. 4,600 square feet OC. 2,600 square feet OD. 4,150 square feet
Answers
Answer:
4,300 square feet
Step-by-step explanation:
First, calculate the area of Jayden's front yard.
50 feet × 80 feet = 4,000 square feet
Next, find the area of half of Jayden's back yard.
1/2(20 feet × 30 feet) = 300 square feet
Last, add the two areas together.
4,000 feet + 300 feet = 4,300 square feet
So, Jayden needs to purchase 4,300 square feet of sod