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Answer:

The additional information required to prove ΔDEF ~ ΔPQR is the value of the ratio DE/PQ which has to be equal to three-halves for ΔDEF to be similar to ΔPQR

Step-by-step explanation:

Given DF/PR = FE/RQ = 3/2

The Side Side Side,  SSS, similarity theorem states that where there are two triangles that have corresponding sides that are proportional to each other, the two triangles are said to be similar

Given ΔDEF and ΔPQR, have sides DF/PR = FE/RQ, to prove that ΔDEF and ΔPQR, then the additional information required is the ratio of the third sides of the triangles which is DE/PQ.

If DE/PQ = Three-halves, the two triangles ΔDEF and ΔPQR are similar, if not, that is DE/PQ ≠ Three-halves, then the two triangles ΔDEF and ΔPQR are not similar.

Answer:

D: DE/PQ = 3/2

Step-by-step explanation:

Did it on edge 2020

Answer:

Step-by-step explanation:

α = 180° - 135° = 45°

β = 180° - 120° = 60°

γ = 180° - 60° = 120°

δ = 180° - x

ε = 180° - 80° = 100°

If we divide the pentagon into five triangles then:

5•180° = α + β + γ + δ + ε + 4x

900° = 45° + 60° + 120° + x + 100° + 4x

900° = 325° + 5x

5x = 575°

x = 115°

60° + 120° + 135° + 80° + 115° = 510° ≠ 360°

Answer:

$1.00

Step-by-step explanation:

The tax rate in Nebraska = 5.5%

Cost of the shirt before tax = $18.20

Therefore:

Tax to be paid = 5.5% of $18.20

[tex]=0.055 \times \$18.20\\=\$1.00 $(correct to the nearest cent)[/tex]

The amount you need to pay as tax is $1.00.

Answer:

28

Step-by-step explanation:

We divide the shape covenientely, like this, and area 1 is 4*4=16

area 2=4*4/2=8

area 3= 2*4/2=4

Area total = Area 1 + Area 2 + Area 3=16+8+4=28

Answer:

A graphing calculator is more accurate than graphing by hand. If the slope and/or y-intercept is a fraction or decimal, it is more difficult to accurately graph by hand.

Step-by-step explanation:

Answer:

WHEN U GRAPH WITH A CALCULATOR  IT IS MUCH MORE ACCURATE

ESPECIALLY IF THERE R FRACTIONS AND DECIMALS AND THE GRAPHING CALCULATOR GOES ON FOREVER WHERE AS THE GRAPHING PAPER  ENDS

Step-by-step explanation:

HOPE I HELPED

PLS MARK BRAINLIEST

DESPERATELY TRYING TO LEVEL UP

          ✌ -ZYLYNN JADE ARDENNE

JUST A RANDOM GIRL WANTING TO HELP PEOPLE!

                                         PEACE!

Answer:

(b) -m, m + 3

Step-by-step explanation:

x² − 3x − m(m + 3) = 0

x² − 3x = m(m + 3)

x² − 3x + 9/4 = m(m + 3) + 9/4

(x − 3/2)² = m(m + 3) + 9/4

(x − 3/2)² = m² + 3m + 9/4

(x − 3/2)² = (m + 3/2)²

x − 3/2 = ±(m + 3/2)

x − 3/2 = m + 3/2, -m − 3/2

x = m + 3, -m

ayuda plis nosé donde estoy q Brainli es este

ayuda

Answer:

hmm I'm not sure but i think it's B. a numerical expression

Sowwy if this didn't help :c

Answer:

Vanessa is 60 and the other person is 12

Step-by-step explanation:

X + 5x = 72

6x = 72

x = 12

12 x 5 = 60

vanessa is 60

the other person is 12

60 + 12 = 72

Answer:

18

Step-by-step explanation:

Let's say x is Oscar's age, and y is Vanessa's age.

When Oscar was Vanessa's age, Vanessa was y−(x−y) = 2y−x years old.  Oscar is five times older than this:

x = 5 (2y − x)

x = 10y − 5x

6x = 10y

3x = 5y

When Vanessa is Oscar's age, Oscar will be x+(x−y) = 2x−y years old.  The sum of their ages will by 72.

2x−y + x = 72

3x − y = 72

Substituting:

5y − y = 72

4y = 72

y = 18

Vanessa is 18.  Which means Oscar is 30.

Let's check our answer.  When Oscar was 18, Vanessa was 6.  Oscar is 5 times older than that (30).  When Vanessa is 30, Oscar will be 42, and their ages will add up to 72.

Answer:

10 cm overlap required to make a 30 cm long strip.

Step-by-step explanation:

Given:

Four paper strips of the same length.

Two of them glued together with a 4 cm overlap to make a new strip which is 36 cm long.

To find:

Overlap required to make a strip which is 30 cm long = ?

Solution:

First of all, let us understand the concept of overlap.

Please refer to the attached image.

Let length of each strip be [tex]x[/tex] cm.

Given that there is 4 cm overlap resulting in new strip of length 36 cm.

The overlapping length is counted only once as clear from the figure attached.

So, Let us try to find the equation:

[tex]x +(x-4) = 36\\\Rightarrow 2x=40\\\Rightarrow x = 20\ cm[/tex]

i.e. each strip length is 20 cm.

Now, let us assume, an overlap of 'y' cm is to be made to make a new strip of 30 cm.

The equation will be:

[tex](20-y)+20 =30\\\Rightarrow y = 40-30\\\Rightarrow y = 10\ cm[/tex]

Answer:

2:5

Step-by-step explanation:

The structure of a ratio is x:y.

So all you have to do is place the former as the first digit and the latter as the second and separate them by a colon.

Answer:  11 units

Step-by-step explanation:

Given: On a coordinate plane, the coordinates of vertices R and T for a polygon are R(−6, 2) and T(5, 2).

To find : length of Side RT of the polygon.

Using distance formula  to find distance between (a,b) and (c,d):

[tex]d=\sqrt{(d-b)^2+(c-a)^2}[/tex]

Length of RT = [tex]\sqrt{(2-2)^2+(5-(-6))^2}[/tex]

[tex]\\\\=\sqrt{0+(5+6)^2}\\\\= \sqrt{11^2}\\\\=11[/tex]

hence, the length of RT = 11 units.

Answer:

the answer is 11 units

Step-by-step explanation:

Answer:

The percentage of hatchbacks that run on gasoline: 78%

The percentage of diesel vehicles that are hatchbacks: 21 %

Step-by-step explanation:

The given table represents the following:

Hatchbacks that run on Gasoline = 18

Hatchbacks that run on Diesel = 5

Total number of hatchbacks = 23

Sedan that run on Gasoline = 15

Sedans that run on Diesel = 12

Total number of sedans = 27

SUVs that run on Gasoline = 3

SUVs that run on Diesel = 7

Total number of SUVs = 23

Total number of gasoline vehicles = 36

Total number of Diesel vehicles = 24

To find:

the percentage of hatchbacks that run on gasoline

the percentage of diesel vehicles that are hatchbacks

Solution:

[tex]\text{Percentage of hatchbacks that run on gasoline = } \dfrac{\text{Number of hatchbacks on gasoline}}{\text{Total number of hatchbacks}}\times 100\\\Rightarrow \text{Percentage of hatchbacks that run on gasoline = } \dfrac{18}{23}\times 100 \approx 78\%[/tex]

[tex]\text{Percentage of diesel vehicles that are hatchbacks = } \dfrac{\text{Number of hatchbacks that run on diesel}}{\text{Total number of diesel vehicles}}\times 100\\\Rightarrow \text{Percentage of diesel vehicles that are hatchbacks = } \dfrac{5}{24}\times 100 \approx 21\%[/tex]

So, the answer is:

The percentage of hatchbacks that run on gasoline: 78%

The percentage of diesel vehicles that are hatchbacks: 21%

Answer:

I used a calculator and this is what can up with

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The inscribed angle ABC is half the measure of its intercepted arc, thus

arc AB = 2 × 44° = 88° → A

Answer:

A

Step-by-step explanation:

The measure of an inscribed angle is half the measure of it's intercepted arc

Answer:

45

Step-by-step explanation:

There are 3 cones and 15 flavors

Multiply the number of cones by the number of flavors

3*15

45

There are 45 possible combinations

Answer:

[tex] s = 14.1 [/tex]

Step-by-step explanation:

Given:

<S = 31°

SQ = r = 9

SR = q = 21

s = ?

To find s, use the Law of Cosines:

s² = r² + q² - 2rs*cos(S)

[tex] s^2 = 9^2 + 21^2 - 2*9*21*cos(31) [/tex]

[tex] s^2 = 81 + 441 - 378*0.8572 [/tex]

[tex] s^2 = 522 - 324.02 [/tex]

[tex] s^2 = 197.98 [/tex]

[tex] s = 14.1 [/tex] (nearest tenth)

Answer:

D. 4z^3

Step-by-step explanation:

First, you see what cubed is 64, which is 4, so you know it is either A or D, but it can not be A because it is not z to the power 5 but x to the power of 3

Hope this helps, if you want me to explain more, feel free to ask questions.

Have a good day! :)

Answer:

4 z^3

Step-by-step explanation:

( 64 z^9) ^ 1/3

Rewriting 64 as 4^3

( 4^3 z^9) ^ 1/3

We know that ( ab) ^c = a^c  * b^c

4^3 ^ 1/3 z^9  ^ 1/3

We know that a^ b^c = a^ ( b*c)

4^(3 * 1/3) z^ (9  * 1/3)

4 ^ ( 1)  z^ ( 3)

4 z^3

Answer:

a. (True) Since ∠6 and ∠8 are vertical angles, they are congruent.

b. (False) ∠1 and ∠2 are supplementary but 65 + 125 ≠ 190.

c. True

d. True

e. True

Answer:

The answer is Freddy Kruger

Step-by-step explanation:

Elm Street, duh

Answer:

B) 5 + 3√5 units

Step-by-step explanation:

The length of ZX is 2√5 units. What is the perimeter of triangle XYZ?  

A) 5 +√3 + 2 √5 units  

B) 5 + 3√5 units  

C) 5 + √6 + 2√5 units  

D) 10 + 2√5 units

From the diagram attached, point X is at (-1, 4), Y(3, 1), Z(1, 0).

The distance between two point

[tex]O(x_1,y_1)\ and\ A(x_2,y_2)\ is\ given\ as:\\\\OA=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]

The lengths of the sides of the triangle are:

[tex]|XY| = \sqrt{(3-(-1))^2+(1-4)^2}=\sqrt{25} =5\ unit\\ \\|XZ|= \sqrt{(1-(-1))^2+(0-4)^2}=\sqrt{20} =2\sqrt{5} \ unit\\\\|YZ|= \sqrt{(1-3)^2+(0-1)^2}=\sqrt{5} \ unit[/tex]

The perimeter of the triangle is the sum of all the sides, i.e.

Perimeter = |XY| + |YZ| + |XZ| = 5 + 2√5 + √5 = 5 + 3√5  

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

($26.5 - $3 - $5.50) : $0.6/m =

= $18 : 0.6$/m

= 30 miles

Answer:

[tex]h=64t-4.9t^{2}[/tex]

Please refer to the attached graph.

Step-by-step explanation:

Given that

Initial velocity of rocket = 64 and is launched vertically.

To find:

Quadratic equation in time to represent the height of rocket in feet.

Solution:

Unit of initial velocity is not given in the question statement, let the velocity be in feet/second only.

Initial velocity, u  = 64 feet/s

The acceleration will be = -g because it is going opposite to gravitational force so it will be negative acceleration motion (speed will be decreasing) so -g will be the acceleration.

Formula for distance traveled is given as:

[tex]s=ut+\dfrac{1}{2}at^2[/tex]

Here Let us represent s by 'h'

a = -g = 9.8 m/[tex]s^2[/tex]

Let us put the known values in the formula:

[tex]h=64t+\dfrac{1}{2}(-9.8)t^2\\\Rightarrow h =64t-4.9t^2[/tex]

It is a quadratic equation, the equation represents the graph of a parabola.

Please refer to the attached graph.

Value of height is 0 at 0 second and ~13 seconds

Answer:

Both have the same period which is 2π

Step-by-step explanation:

Answer:

Bearing of R from S = S 45° E or 135°

The bearing of R from Q

= S 66.42° w or 246.42°

Step-by-step explanation:

Distance between R and S

RS²= RP²+PS²

RS²= 15²+15²

RS²=225+225

RS= √450

RS= 21.21

Angle at S

21.21= 15/sins

Sin s= 15/21.21

S= sin^-1 15/21.21.

S= 45°

90+45= 135°

Bearing of R from S = S 45° E or 135°

Distance between R and Q

RQ²= PQ²+PR²

RQ²= 35²+15²

RQ²=1225+225

RQ= √1450

RQ= 38.08

RQ= 15/sinQ

SinQ= 15/38.08

SinQ= 0.40

Q=23.58°

90-23.58 = 66.42°

66.42+180= 246.42°

The bearing of R from Q

= S 66.42° w or 246.42°

Answer:

[tex]\large \boxed{\sf \ \ x=\pm8 \ \ or \ \ x=\pm2 \ \ }[/tex]

Step-by-step explanation:

Hello, please consider the following.

First of all, we can assume that x and y are different from 0, as we cannot divide by 0.

And from the first equation we can write y as a function of x as below.

[tex]y=\dfrac{16}{x}[/tex]

And then, we replace it in the second equation to get.

[tex]\dfrac{x}{\frac{16}{x}}+\dfrac{\frac{16}{x}}{x}=\dfrac{17}{4}\\\\<=> \dfrac{x^2}{16}+\dfrac{16}{x^2}=\dfrac{17}{4}\\\\\text{*** We multiply by }16x^2 \text{ both sides ***}\\\\x^4+16*16=\dfrac{17*16}{4}x^2\\\\x^4-68x^2+3600=0\\\\\text{*** The product of the zeroes is 3600 = 64*4 and the sum is 64+4=68 ***}\\\\\text{*** So we can factorise *** }\\\\x^4-64x^2-4x^2+3600=x^2(x^2-64)-4(x^2-64)=(x^2-64)(x^2-4)=0\\\\x^2=64=8^2 \ \ or \ \ x^2=4\\\\x=\pm8 \ \ or \ \ x=\pm2\\[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

A

Step-by-step explanation:

The blue graph, g(x), is shifted down 8 units.

So the answer is f(x)-8 which is A

Answer:  C. g(x) = eˣ⁻¹ - 3

Step-by-step explanation:

g(x) is a vertical shift 8 units down (-8) from f(x)

f(x) = eˣ⁻¹ + 5

g(x) = (eˣ⁻¹ + 5) - 8

      = eˣ⁻¹ - 3

Answer:

78

Step-by-step explanation:

Let x be the score on the next test

We are averaging 6 tests and want an average of 75

( 82+91+38+78+83+x) /6 = 75

Multiply each side by 6

( 82+91+38+78+83+x) = 75*6

( 82+91+38+78+83+x)  =450

Combine like terms

x+372 = 450

Subtract 372 from each side

x+372-372 = 450-372

x =78

Answer:

E. 0

Step-by-step explanation:

There isn't any guarantee that there are any people that have their birthdays in the same month based on what you're given, so your answer would be 0.

Answer:

The value of cos theta for 0° < theta < 90° will be 20 / 29

Step-by-step explanation:

To solve this problem we can express three trig functions as ratios involving the sides of a right-angle triangle,  the adjacent side, the opposite side and the hypotenuse. In this case sin θ = a / c, such that a = 21 and c = 29.

By Pythagorean Theorem,

[tex]b = \sqrt{c^2-a^2} = \sqrt{29^2-21^2} = \sqrt{841-441} = \sqrt{400} = 20[/tex]

Therefore cos θ = b / c = 20 / 29. This is the cosine ration of the adjacent side over the hypotenuse.

Answer:

84 km... Mark me as BRAINLIEST

Step-by-step explanation:

Refer to the pic...

Hope it helped you!

Step-by-step explanation:

Since it takes 6 trips to cover 24 km -

1 trip = 24/6

Therefore 1 trip is -

4 km

Now, the distance for 21 trips is -

21*4 = 84

Therefore, Brad has walked -

84 km

HOPE YOU FIND THIS HELPFUL

Answer:

x = 6 and x = 11.

Step-by-step explanation:

sqrt(x - 2) + 8 = x

sqrt(x - 2) = x - 8

(sqrt(x - 2))^2 = (x - 8)^2

x - 2 = x^2 - 16x + 64

x^2 - 16x + 64 = x - 2

x^2 - 17x + 66 = 0

We can use the discriminant to find whether there are solutions to the equation.

b^2 - 4ac; where a = 1, b = -17, and c = 66.

(-17)^2 - 4 * 1 * 66

= 289 - 264

= 25

Since the discriminant is positive, we know there are two valid solutions to the equation.

x^2 - 17x + 66 = 0

(x - 6)(x - 11) = 0

The solutions are when x - 6 = 0 and x - 11 = 0.

x - 6 = 0

x = 6

x - 11 = 0

x = 11

Hope this helps!

Answer:

x=11 solution

x=6 extraneous

Step-by-step explanation:

sqrt( x-2) + 8 = x

Subtract x from each side

sqrt(x-2) = x-8

Square each side

(sqrt(x-2))^2 = (x-8) ^2

x-2 = x^2 -8x-8x+64

x-2  = x^2 -16x+64

Subtract ( x-2) from each side

0 = x^2 -17x +66

Factor

0 = (x-6) ( x-11)

Using the zero product property

x=6  x=11

Checking the solutions

x=6

sqrt( 6-2) + 8 = 6

sqrt(4) +8 = 6

2 +8 = 6

False  not a solution

x=11

sqrt( 11-2) + 8 = 11

sqrt(9) +8 =11

3 +8 = 11

solution

Answer:

(7, -2)

Step-by-step explanation:

The trapezoid A B C D has points (2, 2), (7, 2), (5, 1), (3, 1).

Transformation of a point is the change in location from an original position to a new position. If a shape is transformed, all its points are also transformed. A transformation can either be a rotation, translation, reflection or dilation.

If a point O(x,y) is reflected across the y axis, the new coordinate of the point is at O'(x, -y), i.e. the x coordinate does not change, but the y coordinate is negated.

Since in trapezoid ABCD, the coordinate of point B is (7, 2). The trapezoid is  reflected across the x-axis, therefore the new coordinate of B' is at (7, -2)

Answer:c

Step-by-step explanation:

I took the test