Answers
Answer:
A). AC is congruent to XZGiven - angle X = angle A
angle Z = angle C
To find - criteria of congruence
Solution -
In triangle BAC and triangle YXZ
angle X = angle A
angle Z = angle C
we need one pair of side to be comgruent to show the following traingles congruent
if AC is congruent to XZ
then by angle side angle criteria of triangle both the triangles are congruent..
Related Questions
The image of ΔABC after a reflection across Line E G is ΔA'B'C'.
2 triangles are shown. Line E G is the line of reflection. Line segment D D prime has a midpoint at point F. Line segment C C prime has a midpoint at point G. Points B and B prime share a point. Angle C G F is a right angle.
Which triangle must be a right triangle and why?
ΔA'B'C' is right because it is the image of ΔABC.
ΔADC is right because AA' intersects AC at A.
ΔBCC' is right because B lies of the line of reflection.
ΔBGC is right because Line E G is perpendicular-to CC'.
Answers
ΔDGC is right because Line E G is perpendicular-to CC', Option D is the correct answer.
What is Reflection ?Reflection along a line is plotting a new object as a mirror image of the original object .
It is given that the there are two Triangles , ABC and A'B'C' as an image.
The figure is attached with the answer.
D is the mid point of the line joining BB'
As the line of reflection is always perpendicular to the object and the image.
And as it is given that C G F is a right angle.
Therefore triangle DGC is right angled triangle , (the option given in the question is incorrect ) , Line E G is perpendicular-to CC'.
Option D is the correct answer.
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Answer:
D
Step-by-step explanation:
If 24 marbles have a mass of 60g, what would the mass of 60 marbles be?
Answers
If 24 marbles have a mass of 60 g, then each marble has a mass of [tex]60/24=2.5 \text{ g}[/tex].
So, 60 marbles have a mass of 60(2.5)=150 g
Answer:
150 g
Step-by-step explanation:
24 marbles = 60 g
1 marble = 60÷24 = 2.5 g
60 marbles = 2.5 × 60 = 150 g
Hope this helped and have a good day
SA = 2πr² + 2πrh Use 3.14 for.- Find the surface area of a cylinder with a height of 6 feet and base radius of 3 feet. SA = 2πr² + 2πrh Use 3.14 for. Find the surface area of a cylinder with a height of 6 feet and base radius of 3 feet .
Answers
Answer:
SA = 169.56 ft²
Step-by-step explanation:
Just replace the variables r and h
by their values in the expression :
SA = 2πr² + 2πrh
= 2×(3.14)×3² + 2×(3.14)×3×6
= 169.56
While traveling to Europe, Phelan exchanged 250 US dollars for euros. He spent 150 euros on his trip. After returning to the United States he converts his money back to US dollars. How much of the original 250 US dollars does Phelan now have? Round to the nearest cent.
1 European euro = 1.3687 US dollars
Answers
Answer:
44.70 US dollars
Step-by-step explanation:
Begin by converting the Euros to US dollars by dividing 250 by 1.3687
250/1.3687=182.655
Then subtract 150
182.655-150=32.655
Multiply by 1.3687 to convert back to US dollars
32.655x1.3687=44.70
Ethan works in a department store selling clothing. He makes a guaranteed salary of $500 per week, but is paid a commision on top of his base salary equal to 25% of his total sales for the week. How much would Ethan make in a week in which he made $1250 in sales? How much would Ethan make in a week if he made xx dollars in sales?
Total earnings when selling $1250:
Total earnings when selling $x:
need answer fast
Answers
The total amount of money Ethan made in a week including commission is $812.5
Total incomeTotal sales for the week = $1250Base salary = $500Percentage commission = 25%Amount of commission earned = 25% of $1250
= 25/100 × $1,250
= 0.25 × 1250
= $312.5
Total earnings = Base salary + Amount of commission earned
= $500 + $312.5
= $812.5
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(Giving 45 points, and brainly if correct! Please hurry!)
Point A is on point −6 and Point B is on point 0. Let's use the Ruler Postulate to find the length of AB¯.
AB=|a−b|
AB=|−6−0|
AB=|−6|
AB=6
The length of AB¯¯ is 6. We can also write this as AB=6 or mAB¯¯=6.
Find the Length of CD¯¯
Now, let's find the length of CD¯¯. Point C is on point 4 and Point D is on point 8.
CD=|c−d|
CD=|4−8|
CD=|−4|
CD=4
The length of CD¯¯ is 4. We can also write this as CD=4 or mCD¯¯=4
Your Turn
1. What is the length of BC¯¯?
2. What is the length of AC¯¯?
3. What is the length of AD¯¯?
Answers
The length of BC , AC and AD is 4 , 10 , 14.
What is Length ?Length is the distance between two points , It is measured in cm , m , km etc.
It is asked to calculate the length of BC , AC , AD
For BC
Point B is on point 0 and Point C is on point 4.
BC=|b−c|
BC=|0−4|
BC=4
For AC
Point A is on point -6 and Point C is on point 4.
AC=|a−c|
AC=|-6−4|
AC= 10
For AD
For AC
Point A is on point -6 and Point D is on point 8.
AD=|a−c|
AD=|-6−8|
AD= 14
Therefore the length of BC , AC and AD is 4 , 10 , 14.
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write an equation in slope intercept form of the line with the given characteristics: a) passes through (-3,0) and (-5,-3)
Answers
The equation of the line in slope-intercept form is [tex]\bf{y= \frac{3}{2} x + \frac{9}{4}} [/tex].
What is slope-intercept form?y=mx +c, where m is the slope and c is the y-interceptStepsFind the slopeSubstitute value of the slope into the equationSubstitute a pair of coordinatesSolve for cRewrite equation with value of m and cWorkingThe first step is to calculate the slope of the line.
[tex]\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }[/tex]
Slope
[tex] = \frac{ - 3 - 0}{ - 5 -( - 3)} [/tex]
[tex] = \frac{ - 3}{ - 5 + 3} [/tex]
[tex] = \frac{ - 3}{ - 2} [/tex]
[tex] = \frac{3}{2} [/tex]
Substitute the value of m into y= mx +c:
[tex]y = \frac{3}{2} x + c[/tex]
Next, substitute a pair of coordinates that the line passes through. Here, I will substitute (-3, 0) into the equation.
When x= -3, y= 0,
[tex]0 = \frac{3}{2} ( - 3) + c[/tex]
Find the value of c:
[tex]0 = - \frac{9}{2} + c[/tex]
[tex]c = \frac{9}{2} [/tex]
Substitute the value of c into the equation:
Thus, the equation of the line is [tex]y = \frac{3}{2} x + \frac{9}{2} [/tex].
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A stockbroker has money in three accounts. The interest rates on the three accounts are 10 % ,11 %, and 12 %. If
she has twice as much money invested at 11% as she does in 10 %, three times as much at 12% as she has at be
10%, and the total interest for the year is $340, how much is invested at each rate?
Answers
Help please answer this point an brainlist
Answers
If P = 160 meters and w = 34 meters, find I. P = 21+ 2w
Answers
Hey there!
ASSUMING:
p = 2l + 2w
IF SO:
• We already have our perimeter (p) & our width (w), now you have to find our length (l)
160 = 2l + 2(34)
CONVERT TO:
2l + 2(34) = 160
SIMPLIFY IT:
2l + 68 = 160
SUBTRACT 68 to BOTH SIDES:
2l + 68 - 68 = 160 - 68
SIMPLIFY IT:
2l = 160 - 68
2l = 92
DIVIDE 2 to BOTH SIDES:
2l/2 = 92/2
SIMPLIFY IT:
l = 92/2
l = 46
Therefore, your answer should be:
l = 46
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
MATHHH. Probability section!!! HELP!
please give the right answer.
Answers
Answer:
answer = 1/4 < 7/25
Step-by-step explanation:
the theoretical probability is that because the spinner has 4 equal sized sections, it should land on each 25 times, 25/100 is 1/4
28/100 is the experimental probability of landing on H, so that can be simplified to 7/25 as both numbers can be divisible by 4.
Hope this helps:)
how many eggs are in 2 3/4 dozen?
please answer this one...i need it today
Answers
Step-by-step explanation:
please mark me as brainlest
Answer:
33 eggs
Step-by-step explanation:
1 Dozen = 12 units
2 dozen = 2*12 = 24 units
3/4 dozen = 12*3/4 = 36/4 = 9 units
2 3/4 = 2 + 3/4 = 24 + 9 = 33 units
12. Last month, a store sold a total of 182 pairs of jeans and shorts. The
number of shorts sold was 28 fewer than twice the number of jeans sold.
How many pairs of jeans were sold?
C. 105
A 51
D. 112
B. 70
Answers
Answer:
B. 70
Explanation:
A total of 182 pairs of jeans and shorts were sold and the number of shorts sold was 28 fewer than twice the number of jeans. This can be expressed with j being the number of jeans as:
j2 - 28 = number of shorts
As the number of shorts is 28 lower than twice the number of jeans, this means it can not be C or D, as these numbers are larger than 182 when doubled. The process of elimination can be done with the remaining using our equation.
51(2) - 28 = 102 - 28 = 74
70(2) - 28 = 140 - 28 = 112
Now that we have the number of shorts sold by using the equation, we can add them with what number was used as their number of jeans.
74 + 51 = 125
112 + 70 = 182
So the number of jeans sold is B. 70.
Factor x² - 4x + 5.
A Prime
B (x + 5)(x - 1)
C (x - 5)(x - 1)
D (x + 5)(x + 1)
Answers
Answer:
[tex]\huge\boxed{\sf Option \ A}[/tex]
Step-by-step explanation:
Given expression:= x² - 4x + 5
We can not factor out this expression, because of we apply mid-term break to it, the factors -4x will break into are -5x + x the coefficients of which when multiplied give -5 and not +5 (side term). This is a known rule in the mid-term break formula.
So, the given expression is a prime expression.[tex]\rule[225]{225}{2}[/tex]
The function y
f(x) is graphed below. What is the average rate of change of the
function f(x) on the interval -3 ≤ x ≤-1?
Answers
3 - what = 11
please help with this one
Answers
options for 1 or two are not available but i got c= radical 125
Answers
Answer:
[tex]c=4 \sqrt{2}[/tex]
Step-by-step explanation:
Pythagoras Theorem
[tex]a^2+b^2=c^2[/tex]
where:
a and b are the legs of the right trianglec is the hypotenuse (longest side) of the right triangleGiven values:
a = 4b = 4Substitute the given values into Pythagoras Theorem formula and solve for c:
[tex]\begin{aligned}a^2+b^2 & = c^2 \\\implies 4^2+4^2 & =c^2\\16+16 & =c^2\\32 & =c^2\\ \sqrt{c^2}& =\sqrt{32}\\ c & =\sqrt{16 \cdot 2}\\& = \sqrt{16}\sqrt{2}\\& =4\sqrt{2}\end{aligned}[/tex]
Therefore, the measure of the third side of the given right triangle is [tex]4 \sqrt{2}[/tex]
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Is this linear or non linear?
Answers
Answer: This represents a linear function.
Step-by-step explanation:
I used Desmos to plot them on a graph. You can see that this is linear because each point is in a line. I hope this helps!!
Find the distance-
Which shows the values inputted into the distance formula?
*See photo*
Answers
Answer:
A.
Step-by-step explanation:
As shown in the question we can interpret the following:
[tex]x_{1} = -2\\y_{1} = 1\\x_{2} = 5\\y_{2} = -4[/tex]
Now all we have to do is plug these values into the equation, and so we find that A. is the correct answer.
8. Find the other endpoint of the segment with a midpoint of (-6, 4) and endpoint of (4, 8).
Answers
Answer:
1,3 is the answer... if you look down here↓:
Step-by-step explanation:
help please i dont get it
Answers
Answer:
(c) x = 2 and x = -8
Step-by-step explanation:
The rules of logarithms let you rewrite this as a quadratic equation. That equation will have two (2) potential solutions. We know from the domain of the log function that any negative value of x will be an extraneous solution.
__
The rules of logarithms that apply are ...
[tex]\log(a)+\log(b)=\log(ab)\qquad\text{all logarithms to the same base}\\\\\log_b(a)=c\ \Longleftrightarrow\ b^c=a\\\\[/tex]
__
take antilogsWe can rewrite the equation so that only one logarithm is involved. Then we can take antilogs.
[tex]\log_4(x)+\log_4(x+6)=2\\\\\log_4(x(x+6))=2\qquad\text{using the first rule}\\\\4^2=x(x+6)\qquad\text{using the second rule}[/tex]
__
solve the quadraticAdding (6/2)² = 9 to both sides will "complete the square."
16 +9 = x² +6x +9 . . . . . . . add 9
25 = (x +3)²
±√25 = x +3 = ±5 . . . . . take the square root(s)
x = -3 ±5 = {-8, +2}
The two potential solutions are x = 2 and x = -8.
[tex]\\ \rm\Rrightarrow log_4x+log_4(x+6)=2[/tex]
[tex]\\ \rm\Rrightarrow log_4(x(x+6))=2[/tex]
Take 4 right[tex]\\ \rm\Rrightarrow x(x+6)=4^2[/tex]
[tex]\\ \rm\Rrightarrow x^2+6x=16[/tex]
[tex]\\ \rm\Rrightarrow x^2+6x-16=0[/tex]
[tex]\\ \rm\Rrightarrow x^2-2x+8x-16=0[/tex]
[tex]\\ \rm\Rrightarrow x(x-2)+8(x-2)=0[/tex]
[tex]\\ \rm\Rrightarrow (x+8)(x-2)=0[/tex]
[tex]\\ \rm\Rrightarrow x=-8\:and\:x=2[/tex]
The graph shows the function f(x)= |x-h| + K. What is the value of h ?
Answers
The value of h is -1.5 if the graph shows the function f(x)= |x-h| + K or f(x) = |x + 1.5| - 3.5.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have a function:
f(x) = |x - h| + k is shown in the graph.
The above function is a transformation of a parent function:
F(x) = |x|
After applying transformation we get:
f(x) = |x + 1.5| - 3.5
On comparing:
h = -1.5
k = -3.5
Thus, the value of h is -1.5 if the graph shows the function f(x)= |x-h| + K or f(x) = |x + 1.5| - 3.5.
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Hi, could you help me with this substitution question?
I'd really appreciate if you added workings out as I'm terribly confused.
Thanks,
Answers
Answer:
[tex]-\dfrac{69}{14}[/tex]
Step-by-step explanation:
Substitute the given values of the variables into the given expression:
[tex]\implies \dfrac{60 \left(\dfrac{1}{3}\right)\left(-\dfrac{1}{5}\right)\left(\dfrac{1}{4}\right)\left(\dfrac{1}{3}-\dfrac{1}{5}+\dfrac{1}{4}\right)}{\left(\dfrac{1}{3}-\dfrac{1}{5}\right)\left(\dfrac{1}{3}+\dfrac{1}{4}\right)}[/tex]
When multiplying fractions, simply multiply the numerators and the denominators:
[tex]\implies \dfrac{60 \left(\dfrac{1 \cdot -1 \cdot 1}{3\cdot 5 \cdot 4}\right)\left(\dfrac{1}{3}-\dfrac{1}{5}+\dfrac{1}{4}\right)}{\left(\dfrac{1}{3}-\dfrac{1}{5}\right)\left(\dfrac{1}{3}+\dfrac{1}{4}\right)}[/tex]
[tex]\implies \dfrac{60 \left(-\dfrac{1}{60}\right)\left(\dfrac{1}{3}-\dfrac{1}{5}+\dfrac{1}{4}\right)}{\left(\dfrac{1}{3}-\dfrac{1}{5}\right)\left(\dfrac{1}{3}+\dfrac{1}{4}\right)}[/tex]
[tex]\implies \dfrac{\left(-1\right)\left(\dfrac{1}{3}-\dfrac{1}{5}+\dfrac{1}{4}\right)}{\left(\dfrac{1}{3}-\dfrac{1}{5}\right)\left(\dfrac{1}{3}+\dfrac{1}{4}\right)}[/tex]
When adding or subtracting fractions, make the denominators the same:
[tex]\implies \dfrac{\left(-1\right)\left(\dfrac{20}{60}-\dfrac{12}{60}+\dfrac{15}{60}\right)}{\left(\dfrac{5}{15}-\dfrac{3}{15}\right)\left(\dfrac{4}{12}+\dfrac{3}{12}\right)}[/tex]
Now add the numerators and put that over the denominator:
[tex]\implies \dfrac{\left(-1\right)\left(\dfrac{20-12+15}{60}\right)}{\left(\dfrac{5-3}{15}\right)\left(\dfrac{4+3}{12}\right)}[/tex]
[tex]\implies \dfrac{\left(-1\right)\left(\dfrac{23}{60}\right)}{\left(\dfrac{2}{15}\right)\left(\dfrac{7}{12}\right)}[/tex]
Again, multiply the fractions:
[tex]\implies \dfrac{\left(-1 \cdot \dfrac{23}{60}\right)}{\left(\dfrac{2 \cdot 7}{15 \cdot 12}\right)}[/tex]
[tex]\implies \dfrac{-\dfrac{23}{60}}{\dfrac{14}{180}}[/tex]
To divide the fractions, turn the second fraction upside down, then multiply it by the first fraction:
[tex]\implies -\dfrac{23}{60} \cdot \dfrac{180}{14}[/tex]
[tex]\implies -\dfrac{4140}{840}[/tex]
Finally, simplify:
[tex]\implies -\dfrac{4140 \div 60}{840 \div 60}[/tex]
[tex]\implies -\dfrac{69}{14}[/tex]
3,-1, √5, 13, -11 arrange in ascending order
Answers
Answer:
The answer will be
= -11, -1, √5, 3, 13
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18 A student has 273 matchsticks with which to make a pattern of nested triangles. Fig. 18.9 shows the first three triangles. Fig. 18.9 If all the matchsticks are used, how many matchsticks will each side of the biggest triangle contain? 18 A student has 273 matchsticks with which to make a pattern of nested triangles . Fig . 18.9 shows the first three triangles . Fig . 18.9 If all the matchsticks are used , how many matchsticks will each side of the biggest triangle contain ?
Answers
The number of matchsticks that each side of the biggest triangle contains is; 137 matchsticks
How to find the biggest side of a triangle?We know that for a diagram to be a triangle, then two smallest sides must not be greater than the third side.
Now, if there are 273 matchsticks, then the greatest side of the triangle must not be less than 273/2 = 136.5 ≈ 137
Thus, the largest side will have at least 137 matchsticks
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Please help! I'm not quite understanding this.
Answers
Answer:
d.) 21
Explanation:
Rules:
-|a| = -a|-a| = ax = |a| then x = ±aSolve:
[tex]\rightarrow \sf \dfrac{4|a|}{2} + |a-3|[/tex]
[insert a = -6]
[tex]\sf\rightarrow \dfrac{4|-6|}{2} + |-6-3|[/tex]
[simplify the following]
[tex]\sf\rightarrow \dfrac{4(6)}{2} + 9[/tex]
[tex]\sf\rightarrow 12 + 9[/tex]
[tex]\sf\rightarrow 21[/tex]
Evaluate -3x² + 4x-2 for x = 2.
A. -2
B. -1
C. -6
D. 18
Answers
Answer:
C. -6
Step-by-step explanation:
-3(2)²+4(2)-2
-3(4) + 8 - 2
-12+8-2
-14+8
-6
Estimate the sum of the decimals below by rounding to the nearest whole number. Enter your answer in the space provided
Answers
Answer:
18
Step-by-step explanation:
closest whole numberd are 5, 8 and 5. 5 + 5 = 10 + 8
= 18.
Practice A
Get a coin and toss it five times. Record the outcomes on the table below. Then, answer the questions that follow.
Head
Tail
1st toss
2nd toss
3rd toss
4th toss
5th toss
Total
Answers
Answer:
You can just flip a coin five times either with a real one (heads being a face or a picture and tails being the other side) or online, then put a tick on either heads or tails depending on what you got on that toss. Then just put how many times you got heads in the first question.
Hope this helps I guess.
In a large population, 55% of the people have been vaccinated. if 5 people are randomly selected, what is
the probability that at least one of them has been vaccinated?
give your answer as a decimal to 4 places.
Answers
Using the binomial distribution, it is found that there is a 0.9815 = 98.15% probability that at least one of them has been vaccinated.
What is the binomial distribution formula?The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.In this problem, the values of the parameters are:
n = 5, p = 0.55
The probability that at least one of them has been vaccinated is given by:
[tex]P(X \leq 1) = 1 - P(X = 0)[/tex]
In which:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{5,0}.(0.55)^{0}.(0,45)^{5} = 0.0185[/tex]
Then:
[tex]P(X \leq 1) = 1 - P(X = 0) = 1 - 0.0185 = 0.9815[/tex]
0.9815 = 98.15% probability that at least one of them has been vaccinated.
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