Answers
Answer:
x = 8
[tex]\overline{AC}[/tex] = 30
[tex]\overline{CD}[/tex] = 10
Step-by-step explanation:
Triangle [tex]\triangle ABC[/tex] and triangle [tex]\triangle DEC[/tex] are similar because they have 2 congruent angles. We can find the scale factor between them by comparing the length of [tex]\overline{BC}[/tex] and [tex]\overline{EC}[/tex] in a fraction, resulting in us finding the scale is 3:1 from [tex]\triangle ABC[/tex] to [tex]\triangle DEC[/tex].
Now we can solve for x using a proportion.
[tex]\frac{3}{1} = \frac{x+22}{x+2}[/tex] | Cross multiply
3x+6 = x+22 | Subtract x from both sides
2x+6 = 22 | Subtract 6 from both sides
2x = 16 | Divide both sides by 2
x = 8
Now we can solve for [tex]\overline{AC}[/tex] and [tex]\overline{CD}[/tex] by substitution.
[tex]\overline{AC}[/tex] = x + 22 = 8 + 22 = 30
[tex]\overline{CD}[/tex] = x + 2 = 8 + 2 = 10
These are your answers
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Related Questions
substitution. y = x − 35 y=-4x
Answers
Answer:
(7, - 28 )
Step-by-step explanation:
y = x - 35 → (1)
y = - 4x → (2)
substitute y = x - 35 into (2)
x - 35 = - 4x ( add 4x to both sides )\
5x - 35 = 0 ( add 35 to both sides )
5x = 35 ( divide both sides by 5 )
x = 7
substitute x = 7 into either of the 2 equations
substituting into (1)
y = 7 - 35 = - 28
solution is (7, - 28 )
Work out the surface area of this cylinder
Answers
Answer:
in terms of pi: 24pi cm squared
substituting pi for 3.14: 75.36 cm squared
Step-by-step explanation:
8pi + 16pi = 24pi
What is the answer please?
Answers
Answer:
The figures are not similar. If the purple rectangle were to get a transformation, then it would grow. For it to be
Step-by-step explanation:
If the purple rectangle were to get a transformation, then it would grow. For it to be similar it would be stretched one way to be as long as the green rectangle, but that's not how this works. Therefore, they are not similar.
Hope this helps <3
Which is the next step in the following construction of an equilateral triangle?
circle with center P and point A along circles edge, arcs along the circle at points B, C, D, E, and F in alphabetical order, and a line segment connecting points A and C
Answers
Connect C and E with a straightedge is the next step in order to complete the construction of an equilateral triangle.
What is a circle?It is described as a set of points, where each point is at the same distance from a fixed point (called the centre of a circle)
We have:
Circle with centre P and point A along the circle's edge, arcs along the circle at points B, C, D, E, and F in alphabetical order, and a line segment connecting points A and C.
A triangle with three sides that are all the same length and three angles that are all the same size (60°) is called an equilateral triangle.
Connect C and E with a straightedge is the next step in order to complete the construction of an equilateral triangle.
Thus, connect C and E with a straightedge is the next step in order to complete the construction of an equilateral triangle.
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I need an answer to this:
Answers
Answer:
It will decrease cause there will be more deer. Deer eat blackberry bushes
Step-by-step explanation:
Answer:
It will decrease because there will be more deer
Step-by-step explanation:
Because of the lack of wolves, the deer population would increase. Since it would increase the amount of deer there would be less of the deer's food sources.
he pyramid shown below represents the Pyramid of the Moon, which is located in Teotihuacan, Mexico.
What is the volume of this pyramid?
Answers
Answer:
1156528
Step-by-step explanation:
you multiply all of the numbers to get it i think hope this helps
Write 23/4 as a mixed number. give your answer in its simplest form.
Answers
Answer:
Here is the ans...Hope it helps :)
my watch gains 10 seconds every hour if it is set right on Monday at 10:30 a.m. what will it show them following Monday at 10:30 a.m.
Answers
Answer: 10:58 a.m.
Step-by-step explanation:
To solve this problem, find how many hours will pass in the given timeframe. From this Monday to next Monday, a week will pass. A week is equal to 7 days. A day has 24 hours, so multiply 7 days by 24 hours. 7*24 = 168 hours.
Since the watch gains 10 seconds every hour, multiply 168 hours by 10 seconds. This means your watch will gain 1680 seconds over the week.
To find what time the watch will be at, first find how many minutes will pass. There are 60 seconds in a minute, so divide 1680 seconds by 60 seconds. 1680/60 = 28.
Add 28 minutes to 10:30 a.m. to get a final time of 10:58 a.m.
Change 36.2% to a fraction.
Answers
Answer:
Step-by-step explanation:
Conversion
A % can always be changed into a decimal by dividing by one hundred. In this case
decimal = 36.2/100 = 0.262 \\
Answer: 0.262
Answer:
181/500
Step-by-step explanation:
Which of the following functions is represented in the graph shown?
f(x) = −2cos(2x) + 1
f(x) = −4cos(2x) − 1
f(x) = −2cos(x) − 1
f(x) = −4cos(x) + 1
Answers
Answer:
[tex]f(x)=-2\cos(2x)+1[/tex]
Step-by-step explanation:
Recall the general cosine equation
Function: [tex]f(x)=a\cos(bx+c)+d[/tex]Amplitude: [tex]|a|[/tex]Period: [tex]\frac{2\pi}{|b|}[/tex]Vertical Shift: [tex]-\frac{c}{b}[/tex]Midline: [tex]y=d[/tex]Identify amplitude
[tex]\text{Amplitude}=\frac{\text{Max-Min}}{2}=\frac{3-(-1)}{2}=\frac{4}{2}=2[/tex]
Identify period and solve for b
[tex]\frac{3\pi}{2}-\frac{\pi}{2}=\pi\\ \\\frac{2\pi}{|b|}=\pi\\ \\2\pi=b\pi\\\\2=b[/tex]
Identify midline
[tex]y=d=1[/tex]
Final Equation
[tex]f(x)=-2\cos(2x)+1[/tex]
Also, the reason why [tex]a=-2[/tex] is because a cosine function starts at its maximum, but since it starts at its minimum, the value of [tex]a[/tex] must be negative and causes the wave to flip about the midline.
Which organism will survive best in a damaged ecosystem? (science)
any organism that does not eat the damaged part of the ecosystem
one that eats a wide variety of foods
one that eats primarily one type of food
one that has two main food sources
Answers
Answer:
Step-by-step explanation:
Discussion
Think of what it would be like in your own household. If your mom has been away and the food is starting to spoil, you can't be picky. If you are not picky, you will get by until someone goes shopping.
That's the way its going to work in the ecosystem. I would pick B and hope that it the bad times won't last too long.
solve the system of equations below *urgent*
7x+6y=-10
-2x+y=11
F. (-4,3)
G.(-5,1)
H.(7,9)
I. no solution
Answers
7(-4)= -28 6(3)= 18
-28+18=-10
-2(-4)= 8
8+3=11
Layla owns a small business selling clothing. She knows that in the last week 52 customers paid cash, 20 customers used a debit card, and 11 customers used a credit card. Based on these results, express the probability that the next customer will pay with something other than a credit card as a decimal to the nearest hundredth.
Answers
Probability of paYing in credit card
11/830.13P(Not paying in credit card)
1-0.130.87The probability that the next customer will pay with something other than a credit card is 0.87.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
P(E) = Number of favorable outcomes / total number of outcomes
We are given that Layla owns a small business selling clothing. She knows that in the last week, 52 customers paid cash, 20 customers used a debit card, and 11 customers used a credit card.
Based on these results we have;
Total cards=52+20+11=83
Probability of paying in credit card;
11/83
0.13
Now, P(Not paying in credit card)
1-0.13
0.87
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23 +42
0-24
О-3/16
O3/16
Answers
Step-by-step explanation:
23+42=65
0-24=-24
0-3/16=-3/16= -1875
03/16=0.1875
Rewrite 4-3.4-18 using positive exponents.
Answers
Answer:
Step-by-step explanation:
4^-3
= 1/4^3
4^-18
= 1/4^18.
Jamila's cake recipe calls for 4 cups of flour.
She cuts the recipe in half. How much flour does es
she use?
Answers
Hope it helped
Select the correct answer from the drop-down menu. an automobile manufacturer wants to find out what types of product-related problems its customers are experiencing. the best method to gather the data is .
Answers
The correct answer from the drop-down menu is a survey, this is because the type of data you are interested in is more subjective and open-ended.
What is the survey method?To find out what types of product-related problems its customers are experiencing we need to investigate about the problems faced by customers by means of collecting data from a sample of population.
In this case, we have that a survey is a data collection of questions used to gather information about population.
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The volume of this cube is 27 cubic meters. What is the value of m?
Answers
Hey ! there
Answer:
n is equal to 3 metersStep-by-step explanation:
In this question we are provided with a cube having volume 27 cubic meters . And we are asked to find the value of n that is basically its edge .
For finding the value of n we need to know the volume of cube. So ,
[tex] \: \qquad \: \qquad \: \underline{ \boxed{ \frak{Volume_{(Cube)} = a {}^{3} }}}[/tex]
Where ,
a refers to edge of cubeSOLUTION : -
Substituting given volume that is 27 m³ and value of a as n in formula :
[tex] \quad \longrightarrow \qquad \: n {}^{3} = 27[/tex]
Applying cube root on both sides :
[tex] \quad \longrightarrow \qquad \: \sqrt[3]{n {}^{3} } = \sqrt[3]{27} [/tex]
We get ,
[tex] \quad \longrightarrow \qquad \:n= \sqrt[3]{27} [/tex]
We know that 3 × 3 × 3 is equal to 27 that means cube root of 27 is 3 . So ,
[tex] \quad \longrightarrow \qquad \: \blue{\underline{\boxed{\frak{ n = 3 \: m}}}} \quad \bigstar[/tex]
Henceforth , value of n is ❝ 3 meters ❞Verifying : -
Now we are checking our answer whether it is wrong or right by substituting value of n and equating it with given volume that is 27 cubic meters . So ,
a³ = 27 ( where a is equal to n )Substituting values :
( 3 )³ = 273 × 3 × 3 = 279 × 3 = 2727 = 27L.H.S = R.H.SHence, Verified .Therefore, our answer is correct .
#Keep LearningAnswer:
3
Step-by-step explanation:
Formula for volume of cube :
V = n³Here, V is given to be 27 m³.
Substitute the value of V in the formula.
Solving : Take the cubic root on each side.
27 m³ = n³n = ∛27 m³n = 3 metersBRAINLIEST!!
PLS HELP
Answers
Answer:
H and M
or
K and F
Step-by-step explanation:
Complementary angles = 90 degrees
Corners of a rectangle are 90 degrees
Pick the two angles that make up the 90 degree angle
Need help please answer ASAP!
Answers
Answer:
46. (3) 29
47. (1) y = -4x + 3
48. (3) 3
49. (3) -1/2
50. (4) 25x - 75
Step-by-step explanation:
Question 46
Let red marbles be 2x + 3 and black marbles be x2x + 3 + x = 423x = 39x = 13No. of red = 2(13) + 3 = 29 marbles(3) 29Question 47
Parallel to a line means the slope is the same (1) y = -4x + 3Question 48
For the expression to be undefined, the denominator has to be 0x - 3 = 0x = 3(3) 3Question 49
Slope = -4 - 1 / 4 + 6Slope = -5/10Slope = -1/2(3) -1/2Question 50
Total = 25xLeft 3 boxes at home = -3x = -3(25) = -75(4) 25x - 75if 1 Bahrain Dinar= £ 2.13 Convert 4000 Dinar to Pound.
Answers
4000 Bahrain Dinar as Pounds.
Solution:let the unknown be "x"
we'll have to do cross multiplication.
[tex] \frac{1}{4000} \times \frac{2.13}{x} [/tex]
so now,
[tex]x = 4000 \times 2.13[/tex]
[tex]\large\boxed{\sf{£ 8520}}[/tex]
Therefore, 4000 Bahrain Dinar is £ 8520
Answer to your question is:
£ 8520
hope this helps!
2. Solve the following system of equations.
f(x) = 2x^2 – 5x– 7
g(x) = -4x^2+16
O (-1.2,17.88) and (-1.5, 17)
O (2.42,-7.4) and (-1.58, 5.9)
(-1.5, 17) and (3.7, 1788)
O (2.4,- 44) and (3.7, 17.88)
Answers
Answer:
Cited by 3 — —1.4 p F, ~ +~~• 3*,7 38 4.0 7 h m 0 16 44.20 17 25.10 —0.7 3326~7 ... O—1.2 —1.4 F ~ ,F~ ~ 7.8 38 26.6 m ~ .8 ~5 2~5 44;65 26 2.95 h -4
Step-by-step explanation:i know
Answer:
(2.42,-7.4) and (-1.58, 5.9)
Explanation:
f(x) = 2x² – 5x– 7g(x) = -4x² + 16Solve algebraically:
⇒ f(x) = g(x)
⇒ 2x² – 5x– 7 = -4x² + 16
⇒ 2x² - 5x - 7 + 4x² - 16 = 0
⇒ 6x² -5x -23 = 0
Now use the quadratic function: [tex]\boxed{ \sf x = \dfrac{-b\pm\sqrt{b^2 - 4ac} }{2a}}[/tex]Identify : a = 6, b = -5, c = -23
Solving Step Wise:[tex]\rightarrow \sf x = \dfrac{-(-5)\pm\sqrt{(-5)^2 - 4(6)(-2)} }{2(6)} \ = \ \dfrac{5\pm\sqrt{577} }{12} \ = \ 2.42, -1.58[/tex]
Solve for y : 2(2.42)² - 5(2.42) -7 and 2(-1.58)² - 5(-1.58) - 7 = -7.4, 5.9
Coordinates: (2.42,-7.4) and (-1.58, 5.9)
students from a class of 15 are going to be chosen to be on the dance committee. Find the number of different 4-person committees that can be made.
Answers
we know that
The formula for combinations is
[tex]C=n!/[(n-r)!*r!][/tex]
where
[tex]n[/tex] is the total number of objects you choose from
[tex]r[/tex] is the number that you choose to arrange
in this problem
[tex]n=15[/tex] students
[tex]r=4[/tex] students
[tex]C=15!/[(15-4)!*4!][/tex] → [tex]C=15!/[11!*4!][/tex] → [tex](15*14*13*12*11!)/(11!*4*3*2*1)[/tex]
[tex]C=(15*14*13*12)/(24)[/tex] → [tex]C=1365[/tex]
the answer is
1,365
8.2, 5.1, 9.4, 9.2, 2.2, 4.9, 4.8, 3.3, 3.9state the median
Answers
Answer: Median=4.9
Step-by-step explanation:
If alpha and beta are zeroes of polynomial fx = 4x2-5x-1. Pls answer full questiob
Answers
Does anybody know the other two? QSRT is a Rectangle find the lengths of the following sides
Answers
Answer:
/TS/=12cm
/QP/=
/QR/²=16²+12²
/QR/²=256+144
/QR/²=400
/QR/=√400
/QR/=20
/QP/=20/2=10
let /PT/ be x
hyp²=opp²+adj²
16²=20²+x²
x²=400-256
x²=144
x=√144
x=12.
8. Between what two consecutive integers must the value of log, 7342 lie? Justify your answer.
9. Between what two consecutive integers must the value of log, (500) lie? Justify your answer.
Can someone help me with these questions? I don’t understand what the question is asking or how to solve. Only 8 and 9
Answers
The two consecutive integers that the value of log₄7342 lie between are 6 and 7
The two consecutive integers that the value of log₅(1/500) lie between are -4 and -3
What are consecutive integers?Consecutive integers are whole numbers that follow each other without gaps. For example, 1 and 2; 6 and 7; 5 and 6; 18 and 19 etc.
From the question, we are to determine between what two consecutive integers must the value of log₄7342 lie
The value of log₄7342 = 6.42
On the number line, 6.42 is between 6 and 7.
Hence, the two consecutive integers that the value of log₄7342 lie between are 6 and 7
For log₅(1/500)
The value of log₅(1/500) = -3.861
On the number line, -3.861 is between -4 and -3
Hence, the two consecutive integers that the value of log₅(1/500) lie between are -4 and -3
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Philippe went to the farmer's market and spent $2.35 on apples, $1.85 on bananas, and $3.10 on blueberries. How much did Phillipe spend in total?
$7.30
$7.55
$8.30
$8.55
Answers
Answer: 7.30
Step-by-step explanation: 0.35+0.85= 1.30 (from 2.35 and 1.85)
(Then you just add the number all together so it’s easier)
1.30+1+2+3.10 =7.30
solve the equation by completing the square. x²+6x-4=0
Answers
Answer:
x = √13 - 3
x = -√13 - 3
Step-by-step explanation:
Given :
x² + 6x - 4 = 0Solving :
x² + 6x + 9 - 9 - 4 = 0 [Adding and subtracting 9](x + 3)² - 13 = 0 [Group the square term together](x + 3)² -13 + 13 = 0 + 13 [Add 13 on both sides]√(x + 3)² = √13 [Taking square root on both sides]x + 3 - 3 = ±√13 - 3 [Subtract 3 from both sides]x = ±√13 - 3Solutions :
x = √13 - 3x = -√13 - 3somebody please help me
Answers
Answer:
is the answer 2 3/4
Step-by-step explanation:
