Answer: d) Angle-Angle-Side (AAS)
Step-by-step explanation:
See image --> I labeled the angles to show ΔABC and ΔCDE
Here is the proof that shows ΔABC ≡ ΔDEC
Statement Reason
1. AB ≡ DE 1. Given
2. ∠B ≡ ∠E 2. Given
3. ∠ACB ≡ ∠DCE 3. Vertical Angles
4. ΔABC ≡ ΔDEC 4. AAS Congruency Theorem
We have 2 angles and 1 side so our only options are AAS or ASA.
We can eliminate ASA because the side is NOT between the angles.
If you follow the path of the triangles; first you have Side (AB ≡ DE), then Angle (∠B ≡ ∠E), then Angle (∠ACB ≡ ∠DCE). We don't have SAA as an option so follow it backwards and you get Angle-Angle- Side (AAS).
The total time that Ken and Bob worked in a week was 63 hours. Ken worked 36 hours. What is the ratio of Bob's working hours to Ken and Bob's total working hours?
Answer:
33
Step-by-step explanation:
beacause you have to minus to find th aspect ratio I beleive.
Bryan owns a pet store. He puts one parrot in per cage, he has one parrot extra. If he puts two parrots per cage, he has a cage extra. How many parrots and cages does he have?
Answer:
4 parrots
3 cages
Step-by-step explanation:
Bryan has one more parrot than cages and one more cage than half the number of parrots. The following system of equations can be modeled for the number of parrots (P) and cages (C):
[tex]P=C+1\\C-1=\frac{P}{2}[/tex]
Solving the linear system:
[tex]P-1-1=\frac{P}{2}\\0.5P = 2\\P=4\\C=P-1=4-1=3[/tex]
Bryan has 4 parrots and 3 cages.
Help me ASAP please.
If two lines intersect and one angle measures 25°, what are the measures of the other angles?
25
75
155
125
Answer:
Two Lines that intersect from TWO angles. The sum of the Two Angles is always 180 degrees.
180 Minus 25 = 155.
Step-by-step explanation:
Which integers satisfy the inequality 2 < x ≤ 6 ?
Please help if you are in year 8 and know math!
Answer:
3, 4, 5, 6
Step-by-step explanation:
Given the inequality
2 < x ≤ 6
This says that 2 is less than x , so x ≠ 2 ( left part )
x is less than or equal to 6 means x can equal 6 ( right part )
Integer values that satisfy the inequality are
x = 3, 4, 5, 6
The junior class sells tickets to a talent show to raise money. Each ticket sells for $8. How much money do they raise?
Answer:
unsolvable
Step-by-step explanation:
you need to know how many people bought a ticket
Use the grouping method to factor the polynomial below x^3 -4x^2+3x-12
Answer:
x^2(x-4) + 3(x-4)
(x^2 + 3)(x-4)
Step-by-step explanation:
Como medir la altura de un arbol usando el teorema de thales
Answer:
????
Step-by-step explanation:
What is the reciprocal of 8/12
Answer: 12/8
Step-by-step explanation:
You just flip it
Answer:
12/8
Step-by-step explanation:
To find a reciprocal of a fraction, just flip the numbers upside down or invert it.
In other words, swap the numerator over the denominator to get the reciprocal.
Example: 3/4 → 4/3
Have a great day and stay safe!
Find the slope of the line that goes through the points (12,-12) and (-3,13).
slope,m=________
Enter your answer as an integer or a reduced fraction in the form A/B
Answer:
-5/3
Step-by-step explanation:
The slope of a line is found by
m = (y2-y1)/(x2-x1)
= (13- -12)/(-3 -12)
= ( 13+12) / (-15)
25/-15
-5/3
The right answer is -5/3
please see the attached picture for full solution
Hope it helps..
Good luck on your assignment..
A computer manufacturer estimates that its cheapest screens will last less than 2.8 years. A random sample of 61 of these screens has a mean life of 2.4 years. The population is normally distributed with a population standard deviation of 0.88 years. At α=0.02, what type of test is this and can you reject the organization’s claim using the test statistic?
Answer:
The test is left - tailed
We cannot reject the organization's claim ( its cheapest screens will truly last less than 2.8 years)
Step-by-step explanation:
Sample size, n = 61
Sample mean, [tex]\bar{X} = 2.4[/tex]
Standard deviation, [tex]\sigma = 0.88[/tex]
Significance level, α=0.02
Null hypothesis, [tex]H_{o} : \mu = 2.8[/tex]
Alternative hypothesis, [tex]H_{a} : \mu < 2.8[/tex]
It is clearly seen from the alternative hypothesis, that it is a left tailed test. It is not tailed towards the two directions.
Calculate the test statistic:
[tex]Z = \frac{\bar{X} - \mu}{\sigma/\sqrt{n} } \\Z = \frac{2.4 - 2.8}{0.88/\sqrt{61} }\\Z = - 3.55[/tex]
Calculate the P-value:
P(Z < -3.35) = 0.0002
Since (p-value = 0.0002) < (α=0.02), the null hypothesis is rejected.
It can therefore be concluded that the mean of the cheapest screen is less than 2.8 years. i.e. the cheapest screen will last less than 2.8 years
Answer:
The null and alternative hypotheses:
H0: u = 2.8
H1: u < 2.8
This is a left - tailed test.
For test statistics, use the formula:
[tex] Z = \frac{x' - u}{\sigma/ \sqrt{n}} [/tex]
Where,
Mean, u = 2.8
Sample mean,x' = 2.4
Sample size, n = 61
Standard deviation [tex] \sigma [/tex] = 0.88
Significance level = 0.02
[tex] Z = \frac{2.4 - 0.02}{0.88/ \sqrt{61}} =-3.55[/tex]
Test statistics, Z = -3.55
Pvalue:
Pvalue of Z = -3.55 using standard normal table,
NORMSTID(-3.55) = 0.00019
Pvalue = 0.0002
Critical value:
Since this is a left tailed test, the critical value at 0.02 level of significance is:
[tex] Z_\alpha = Z_0_._0_2 = -2.05 [/tex]
Decision: If pvalue is less than level of significance reject null hypothesis H0.
Conclusion:
Since pvalue, 0.00019 is less than level of significance, 0.02, reject null hypothesis, H0.
We conclude that the mean life of the cheapest screen is less than 2.8 years
Find the inverse of f(x) = e^x + 7
Answer:
f^-1(x) = ln(x - 7)
Step-by-step explanation:
f(x) = e^x + 7
y = e^x + 7
x = e^y + 7
e^y = x - 7
ln(e^y) = ln(x - 7)
y = ln(x - 7)
f^-1(x) = ln(x - 7)
Solve the following equation for x.
15x^2 – 46x + 16 = 0
Answer:
X=2/5,8/3
Step-by-step explanation:
Look on Tiger Algebra for step by step. JUst put the problem into g-oogle.
Answer:
X=8/3,2/5
Step-by-step explanation:
What is the constant term in (2x+9)(x-4)(x+5)
Answer:
[tex]-180[/tex]
Step-by-step explanation:
[tex]\left(2x+9\right)\left(x-4\right)\left(x+5\right)[/tex]
[tex]\left(2x^2+x-36\right)\left(x+5\right)[/tex]
[tex]2x^3+11x^2-31x-180[/tex]
Answer:
-180
Step-by-step explanation:
(2x+9)(x-4)(x+5)
The constant term is
9*-4*5
-180
This table gives a few (2, y) pairs of a line in the coordinate plane.
y
-21
-64
- 15
-48
-9
-32
What is the x-intercept of the line?
Answer:
(3,0)
Step-by-step explanation:
please help!!!!!!! just click on picture to see question
Answer:
g(n) = - 19 + (n - 1)*6
Step-by-step explanation:
The way to do this is to try a couple and then see if you can make some sort of equation that follows the rule.
g(1) = - 19
=============
g(2) = g(2 - 1) + 6
g(2) = g(1) + 6
g(2) = -19 + 6
g(2) = -13
=============
g(3) = g(2) + 6
g(3) = -13 + 6
g(3) = - 7
==========
g(4) = g(3) + 6
g(4) = - 7 + 6
g(4) = - 1
==========
g(5) = 5
g(6) =11
===========
Now the hard part. You have to start with - 19
The nth term is g(n) = - 19 + (n - 1)*6
Now see if it works.
g(7) = - 19 + (7 - 1)*6
g(7) = - 19 + 6 * 6
g(7) = -19 + 36
g(7) = 17
Is that correct?
g(7) = g(n - 1) + 6
g(7) = g(6) + 6
g(7) = 11 + 6
g(7) = 17 Seems to be the same as the explicit formula gives.
URGENT!!!!! LAST TWO QUESTIONS!!!!!!! WILL GIVE BRANLIEST!!!AT LEAST TAKE A LOOK!!!!!! PLS HELP!!!
14. Find the missing angle x. ( 155 degrees is on the top left side, FIRST pic below)
19. Triangles ABC and DEF are similar. Find x.
SECOND PIC
A) 9.45
B) 6.12
C) 7.23
D) 8.57
Answer: For the first one it’s 95 degrees. I don’t know the second one, sorry
Step-by-step explanation:
180-155=25
25+60=85
180-85=95
Which of the following is an equivalent equation to find w
[tex]answer \\ w = \frac{ {8x}^{2} - 2y }{y} \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]
Please solve 1/3 ÷ 2/3
Answer:
1/2
Step-by-step explanation:
[tex]\dfrac{1}{3}\div \dfrac{2}{3}=\\\\\dfrac{1}{3}\times\dfrac{3}{2}=\\\\ \dfrac{3}{6}=\\\\\dfrac{1}{2}[/tex]
Hope this helps!
What is the simplified expression for 5 a b + 9 a b minus a b?
Answer:
13ab
Step-by-step explanation:
5ab+9ab-ab=ab(5+9-1)=13ab
which system of linear equations can be solved using the information below?
Answer:
The correct answer is A
Step-by-step explanation:
Because the solution to the two equations would be 3 and -6, so the numbers in the other column in the matrices that aren't 3 and -6 would be the coefficients. In matrix Ax = 4 and 1 are the coefficients for y and in matrix Ay, -5 and -8 is the coefficient for the xs in the equations.
Answer: A
Step-by-step explanation: edge 2023
Steel is formed by combining masses of carbon and iron in the ratio 1:49. How many pounds of iron would it take to create 10 pounds of steel?
A)0.49
B)0.48
C)4.9
D)9.8
Answer:
9.8
Step-by-step explanation:
1:49= ratio of carbon to to iron
1+49= steel
50=10pounds
49=?pounds
49 * 10/50
=49/5
=9.8pounds
Which phrase should be inserted on the line to correctly compare the two fractions? Use the models to help.
Answer:
is greater than
Step-by-step explanation:
The answer is C less than we got it wrong
Step-by-step explanation:
Suppose statement p is true but statement q is false. Which of these compound statements are true? Check all that apply. p ∧ q p ∨ q p → q q → p p ↔ q q ↔ p
Answer:
p ∨ q → True
(q → p) → True
Step-by-step explanation:
If the truth value of the statement p is 'True' and truth value of statement q is 'False',
p ∧ q → False [Conjunction of both the statements will be true only when both the statements are True]
p ∨ q → True [Disjunction of two statements will be false only when both the statements are false]
(p → q) → False
(q → p) → True [Implication of both the statements is false only when p is true and q is false otherwise true]
(p ↔ q) → False [Bi-conditional statements are true if and only when both the statements are true]
(q ↔ p) → False
Answer:
Your answer would be answer two and four.
Topic: Probability
Only complete question 6.
Answer:
see below
Step-by-step explanation:
a) see attached chart
b) sum is 10
There are 3 that total to 10 (4,6) (5,5) and (6,4) and there are 36 possible outcomes
P(10) = number of outcomes that sum to 10 / total number of outcomes
=3/36
= 1/12
c) identical numbers There are 6 that are identical (1,1) (2,2) (3,3) (4,4) (5,5) (6,6)
p(identical) = number of outcomes that are identical / total number of outcomes
=6/36
= 1/6
d product a multiple of 10 ( 5,2) (5,4) (5,6) (2,5) (4,5) (6,5) are the only ones with a product multiple of 10
p(identical) = number of outcomes that are identical / total number of outcomes
=6/36
= 1/6
compare: 6/11 to 5/9 which one is greater
Answer:
5/9 is greater
Step-by-step explanation:
Answer:
5/9
Step-by-step explanation:
which of the following is equivalent to the radical expression below √8x^5
Simplify the expression by combining like terms.
22+5m-4m+7n8
Answer:
Second Option, m+7n+30
Step-by-step explanation:
First I'd combine the m terms
22+5m-4m+7n-8
5m-4m
=1m
22+1m+7n+8
Now the numbers with no variable
22+1m+7n+8
22 + 8
=30
m+7n+30 is our final answer
Answer:
7n +m +14
Step-by-step explanation:
22 +5m -4m +7n -8
=7n +5m -4m +22 -8
=7n +m +14
Joey and Nolan are each solving the equation 13x - 42 = 18 - 7x.
Joey's first step was to rewrite the equation as 20x - 42 = 18 while Nolan's first step was to rewrite the
equation as 13x = 60 - 7x.
Who is correctly applying the addition property of equality in the first step of his work?
A. Only Joey
B. Only Nolan
C. Both Joey and Nolan
D. Neither Joey nor Nolan
Answer:
First step=13x+7x=18+42
Step-by-step explanation:
13x-42=18-7x
First step
It is to collect like terms of the equation
13x+7x=18+42
20x=60
x=60/20
x=3
Please Help!!! Examine parallelogram ABCD. Opposite sides AB¯¯¯¯¯¯¯¯ and CD¯¯¯¯¯¯¯¯ have lengths of 4y and y+42, respectively. Determine the value of y and answer the following question. Quadrilateral A B C D with side measures as given in the problem. What is the length of AB¯¯¯¯¯¯¯¯?
Answer:
y = 14
Length of AB = 56 units
Step-by-step Explanation:
==>Given:
Parallelogram ABCD, with the following lengths:
AB = 4y
DC = y + 42
==>Required:
a. Value of y
b. Length of AB
==>Solution:
i. Recall that one of the properties of a parallelogram is that opposite sides are congruent. This implies that side AB is congruent to DC.
To find the value of y, let's set the opposite sides of the parallelogram equal to each other (i.e. AB = DC)
Thus,
4y = y + 42
Subtract y from both sides
4y - y = y + 42 - y
3y = 42
Divide both sides by 3
3y/3 = 42/3
y = 14
ii. Length of AB = 4y
Plug the value of y
Length of AB = 4(14)
Length of AB = 56 units
Select the correct answer.
What is the simplest form of the ratio 11 : 16?
A.
1:6
B
5:8
c.
11.16
D.
22:32
Answer:
C
Step-by-step explanation:
The ratio 11:16 cannot be simplified
Answer:
Its already in simplest form
Step-by-step explanation:
You can think of it as a fraction. you cant divide 11 by anything besides 1 and itself. 11 doesnt go into 16 at all, completely. So the ratio cant be simplified