The triangles are congruent if two sets of comparable angles and the side separating them are known to be congruent. Angle-side-angle is the name of this shortened phrase (ASA). Angle-angle-side (AAS), which takes use of the fact that two sets of angles and the excluded side are known to be congruent, is another shortcut.
ASA is another name for angle side angle. According to the criterion, any two angles and the side that is contained between them in one triangle are equivalent to the corresponding angles and the included side of the other triangle if the two triangles are congruent.
According to the Angle Angle Side (AAS) Postulate, two triangles are congruent if two consecutive angles and a non-included side of one triangle are congruent with the equivalent two consecutive angles and a non-included side of another triangle.
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help mee please i need this one right now
Answer:
where is the question
Step-by-step explanation:
chai
G(b) = 5b- 9 h(b) = (b - 1)^2 Evaluate. (hog)(-6) =
Given:
The two functions are:
[tex]g(b)=5b-9[/tex]
[tex]h(b)=(b-1)^2[/tex]
To find:
The value of [tex](h\circ g)(-6)[/tex].
Solution:
We have,
[tex]g(b)=5b-9[/tex]
[tex]h(b)=(b-1)^2[/tex]
We know that,
[tex](h\circ g)(b)=h(g(b))[/tex]
[tex](h\circ g)(b)=h(5b-9)[/tex]
[tex](h\circ g)(b)=[(5b-9)-1]^2[/tex]
[tex](h\circ g)(b)=[5b-10]^2[/tex]
Putting [tex]b=-6[/tex], we get
[tex](h\circ g)(-6)=[5(-6)-10]^2[/tex]
[tex](h\circ g)(-6)=[-39-10]^2[/tex]
[tex](h\circ g)(-6)=[-49]^2[/tex]
[tex](h\circ g)(-6)=2401[/tex]
Therefore, the value of [tex](h\circ g)(-6)[/tex] is 2401.
Which of these expressions or phrases can be used to represent the model choose all the correct answers
Pls no BOT part ;(
Step-by-step explanation:
anyway.. for your answer i only know that number of fifths in 1 is correct I dont know about the rest.
I need help pls! A group of hikers park their car at a trail head and hike into the forest to a campsite. The next morning, they head out on a hike from their campsite walking at a steady rate. The graph shows their distance in miles, d, from the car on the day of their hike after h hours. How far is the campsite from their car? Write an equation that describes the relationship between d and h. After how many hours will the hikers be 16 miles from their car?
Answer:
Look down below ;)
Step-by-step explanation:
How far is the campsite from their car?
4 miles
(0,4)
Write an equation that describes the relationship between d and h.
d = 3h + 4
After how many hours will the hikers be 16 miles from their car?
16 = 3h + 4
12 = 3h
4 = h
After 4 hours
She has written 90 page essay so far she needs 150 pages. What percent of pages has she completed.
Answer:
75%
Step-by-step explanation:
i am not going to say it right but i think it is but my teacher have us doing this now
solve 0=-x^2+4x-2
a. -4
b. 8
c. 12
d. 24
Answer:
Question is not clear, and the options are none of the above
Step-by-step explanation:
find the value of x in the triangle shown below
Answer:
√27
Step-by-step explanation:
use the pythagorean theorem
3²+x²=6²
9+x²=36
x²=27
√x²=√27
x=√27
what is this i HATE math Oh MY GOD
For the first 3% of Pam's salary, her employer matches 100% of her 401(k) contributions, and from 3% to 12%, Pam's employer matches 50% of her 401(k) contributions. Pam's salary is $30,000, and last year, she contributed $4000 to her 401(k) plan. What was her employer's contribution to the 401(k)?  A. $4000  B. $3600  C. $2250  D. $1800
Her employer's contribution to the 401(k) was $2,500.
CalculusGiven that for the first 3% of Pam's salary, her employer matches 100% of her 401(k) contributions, and from 3% to 12%, Pam's employer matches 50% of her 401(k) contributions, and Pam's salary is $30,000 , and last year, she contributed $4000 to her 401(k) plan, to determine what was her employer's contribution to the 401(k) the following calculation must be made:
4000 / 12 x 3 = X1000 = X(4000 / 12 x 9) / 2 = X3000 / 2 = X1500 = X1000 + 1500 = 2500Therefore, her employer's contribution to the 401(k) was $2,500.
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Answer: C. $2250
Step-by-step explanation: took the quiz.
find a distance between the two points
i dont seem to understamd
Step-by-step explanation:
To find the distance you need the distance formula. The distance formula is [tex]\sqrt{(x_{2}-x_{1} )^{2} + (y_{2}-y_{1})^2 }[/tex]. Order the pairs with a 1 or a 2. Look at he point that you labeled 2. Substitute any of the points with a 2 subscript into the equation. The x value is the first number in the ordered pair and the y value is the second number in the ordered pair. Repeat this with the ordered pair you labeled as 1. Substitute the numbers in. You should get something like this: [tex]\sqrt{(-7-5)^{2} + (-7-9)^{2} }[/tex]. If you are doing this without a calculator, it is easier than you think. Remember PEMDAS? Well apply that with this. Find out the solution to the parenthesis first. The first parenthesis should come out with[tex](-12)^{2}[/tex]. Finish the expression off by evaluating the expontent. That comes out to 144. Try this with the next parenthesis... The answer should be 256. Your square root should look like this: [tex]\sqrt{144+256}[/tex]. Add the numbers under the parenthesis together and you should get [tex]\sqrt{400}[/tex]. I'm sure you have a calculator in you hand ready to solve this. NOW YOU FIND THE ANSWER!!!
Multiply and simplify the following products. V stands for radical.
Example: (V5)2= (V5) (V5) = v(5 x 5) = 5
1. (19)
2. (V2) (13)
3. 2(12) x 3(3)
Answer:
(1) 9
(2) [tex]\sqrt{6}[/tex]
(3) 6([tex]\sqrt{6}[/tex])
Step-by-step explanation:
From the question,
(1) ([tex]\sqrt{9}[/tex])²
Applyin the law of multiplication of surds
([tex]\sqrt{9}[/tex])² = (
(2) ([tex]\sqrt{2}[/tex])× ([tex]\sqrt{3}[/tex]) =
Also applying the the law of multiplication of surd
([tex]\sqrt{2\\}[/tex])×([tex]\sqrt{3}[/tex]) = ([tex]\sqrt{6}[/tex]) ( This is an irational answer)
∴ ([tex]\sqrt{2}[/tex])×([tex]\sqrt{3}[/tex]) = [tex]\sqrt{6}[/tex]
(3) 2([tex]\sqrt{2}[/tex])×3([tex]\sqrt{3}[/tex])
Also applying the law of multiplication of surds i.e Multiply surds to surds and whole number to whole number
= 2×3×([tex]\sqrt{2}[/tex])×([tex]\sqrt{3}[/tex])
6×([tex]\sqrt{6}[/tex]) = 6(
Solve for w.
-2 = w + 7
Answer:
-9
Step-by-step explanation:
I just took the same test
Please answer correctly!! I’ll mark as brainliest!
No links no fake answers
Answer:
8) 22
9) cos 33°
10) 55
Step-by-step explanation:
[tex]8) \: \: \: \tan(x) = \frac{6}{15} \\ x = \tan^{ - 1} ( \frac{6}{15} ) \\ x = 21.8 \\ x = 22 \\ \\ \\ 9) \: \: \: \: \: \sin(57) = 0.83867.... \\ \cos(33) = 0.83867.... \\ \\ \\ 10) \: \: \: \cos(35) = 0.8192..... \\ \sin(55) = 0.8192.... \\ so \: \: \: z = 55[/tex]
I hope that is useful for you :)
what is the square root of 30
Answer:
hi
Step-by-step explanation:
i think so...
[tex] \sqrt{30} = 5.47[/tex]
have a nice day
7(x-2)=21 help me with this answer plz show work
Answer:
x=5
Step-by-step explanation:
7 times x
7 times 2
7x-14= 21
14+14= 21+ 14
7x=35
x=5
7 times five equals 35
J
L
N
M
If mZJKN = 28º and mZKLM = 103°, find mZJML.
Answer:
98°
Step-by-step explanation:
each half adds up to 180° so 103+28=131 then 180-131=49
and that would be just one of the bottom angles so you would double it to get 98
Greg invests $500 in a savings account that earns 4% simple interest annually. If he does not make any additional deposits or withdrawals, how much money will be in the savings account after 5 years?
Answer:
600
Step-by-step explanation:
find the value of x
please help me do this
Answer: reminder u are loved. <3
Step-by-step explanation:
Which of the following 95% confidence intervals would lead us to reject Hp =0.30 in favor of
Hp *0.30 at the 5% significance level?
(a) (0.30, 0.38)
(b) (0.19, 0.27)
(c) (0.27, 0.31)
(d) (0.24, 0.30)
(e) None of these
According to the hypothesis tested, the confidence interval that would lead us to reject [tex]H_0: p = 0.3[/tex] in favor of [tex]H_0: p < 0.3[/tex] is given by:
(b) (0.19, 0.27)
What are the hypothesis tested?At the null hypothesis, we test if the proportion is of 0.3, that is:
[tex]H_0: p = 0.3[/tex]
At the alternative hypothesis, we test if the proportion is less than 0.3, that is:
[tex]H_1: p < 0.3[/tex]
We want to reject [tex]H_0: p = 0.3[/tex] in favor of [tex]H_1: p < 0.3[/tex], hence we need an interval that is entirely below 0.3, which is given by option b.
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Find the area of the compound shape: *
ASAP HELP... I DONT UNDERSTAND.......
Answer:
8 is answer
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
[tex]8^2[/tex] is also [tex]8*8[/tex]
[tex]8*8[/tex] is 64
Hope I helped
Using the probabilities given, find the probability that a student earns a grade of A. (enter number in decimal form rounded to the nearest hundredth)
Answer:
0.14
Step-by-step explanation:
Here, we want to find the probability that a student earns the grade of A
Mathematically, we have this as the frequency of A divided by the sum of all frequencies
From the question, the sum of all frequencies will be (5 + 10 + 15+ 3 +2) = 35
Now we place the frequency of A over this
This gives;
5/35 = 1/7 = 0.14
Subtract the following polynomials in this equation
Find the area of the figure
3/2 inches of snow fell in 3/4 of an hour. Which TWO statements are correct?
A) The unit rate is 2 inches of snow per hour.
B) The unit rate is 3 inches of snow per hour.
C) The unit rate is 9/8 inches of snow each hour.
D) At the same rate, 4 inches of snow will fall in 6 hours.
E) At the same rate, 12 inches of snow will fall in 6 hours.
Answer:
A) The unit rate is 2 inches of snow per hour.
&
E) At the same rate 12 inches of snow will fall in 6 hours.
Step-by-step explanation:
Answer:
a and e
Step-by-step explanation:
did it on usatestprep
please helppppppppp lol
Answer:
x = 20
Step-by-step explanation:
angle 2 and 3 are congruent, becaus they are alternate interior angles. So, 3x-10 = x+30, 2x = 40, x= 20.
Just need help with this !
Please anyone answer as soon as you can
Don’t send the link that hacks you :/
Answer:
check all boxes except for the last 1
As shown in the figure, polyhedron ABCDEFGH is a cube and P is any point on face EFGH. Compare the
volume of the pyramid PABCD and the volume of the cube. Complete the explanation.
H
G
P
B
The volume of PABCD
vis
the volume of the cube v
Answer:
the volume of PABCD is 1/3 of the volume of the cube
Step-by-step explanation:
easy points... round 12717. to the nearest hundredth
Find the slope of the line segment shown
A . -1/2
B.-1
C.1/2
D.1
Answer:
1 is the correct answer
Step-by-step explanation:
y2-y1/x2-x1=slope
-2-3/-3-2
-5/=-5
1