given ad||gj refer to the figure and provide an appropriate name for ehc and chj

a. alternate interior angles
b. supplementary angles
c. complementary angles
d. alternate exterior angles

Answer:

Step-by-step explanation:

Here,,

Sides of two sail are proportional.

Let the height be 'x'

Now,

[tex] \frac{a1}{b1} = \frac{a2}{b2} [/tex]

plug the values

[tex] \frac{25}{10} = \frac{x}{8} [/tex]

Apply cross product property

[tex]10x = 25 \times 8[/tex]

Multiply the numbers

[tex]10x = 200[/tex]

Divide both sides of the equation by 10

[tex] \frac{10x}{10} = \frac{200}{10} [/tex]

Calculate

[tex]x = 20 \: ft[/tex]

Hope this helps...

Best regards!!

Answer:

20

Step-by-step explanation:

Answer:

A) SAS postulate

Step-by-step explanation:

Answer:

SAS

Step-by-step explanation:

you know that ST is equal and you also know two equal angles and one other equal side

Answer:

x= -1 or x= 2

Step-by-step explanation:

Corrected Question:

Complete the proof of the Law of Sines/Cosines.  

Given triangle ABC with altitude segment AD labeled x. Angles ADB and CDA are _____1._____ by the definition of altitudes, making triangle ABD and triangle ACD right triangles. Using the trigonometric ratios sine of B equals x over c and sine of C equals x over b. Multiplying to isolate x in both equations gives x = _____2._____ and x = b ⋅ sinC. We also know that x = x by the reflexive property. By the substitution property, _____3._____. Dividing each side of the equation by bc gives: sine of B over b equals sine of C over c.

Answer:

(1) right angles

(2) c sin B

(3) c sin B = b sin C

Step-by-step explanation:

As shown in the diagram attached to this response,

(i) the given triangle is ABC with altitude segment AD labeled as x,

(ii) side AB is labeled as c, side AC is labeled as b, and

(iii) angles ADB and CDA are right angles by definition of altitudes.

(iv) Therefore, triangle ABD and CDA are right-angled triangles.

(v) Now, using trigonometric ratios, sine of B equals x over c. i.e

sin B = [tex]\frac{x}{c}[/tex]          --------(i)

(vi) Also, sine of C equals x over b. i.e

sin C = [tex]\frac{x}{b}[/tex]         ------------(ii)

(vii) Multiplying to isolate x in both equations gives;

x = c sin B           [from equation (i)]           ------------(iii)

x = b sin C          [from equation (ii)]             -----------(iv)

(viii) We know that x = x by the reflective property. i.e x in equation (iii) is equal to x in equation (iv). By substitution property, this becomes,

c sin B = b sin C           -----------------(v)

(ix) Dividing each side of the equation in equation (v) by bc gives: sine of B over b equals sine of C over c i.e

[tex]\frac{csinB}{bc} = \frac{bsinC}{bc}[/tex]

[tex]\frac{sinB}{b} = \frac{sinC}{c}[/tex]             [This is the sine rule]

Answer:

0.8

Step-by-step explanation:

because the template should be axr^n-1

where r is the common ratio

r=0.8

Answer:

0.8

Step-by-step explanation:

Answer:

Step-by-step explanation:

The average number of runs scored by a Little League team in a game is 5.7. If he chooses five games at random in which his team scored 5 , 9, 4, 11, and 8 runs, their average score of the five games is expressed as shown;

Average score of 5 games = (5+9+4+11+8)/5

Average score of 5 games  = 37/5

Average score of 5 games  = 7.4

Comparing the average score in 5 games to the the average number of runs scored nationally, it can be seen that their difference is 7.4 - 5.7 which is 1.7. Since the difference is quite significant, then it is most likely that his team's scores is different from the national distribution.  

Answer: 81

Step-by-step explanation:

First digit  and    Second digit    and    Third digit    and    Fourth digit

3 choices  x       3 choices          x        3 choices      x       3 choices     = 81

Answer:

Step-by-step explanation:

[tex]x^2 - 7x + 10=\\\\=x^2 - 5x -2x + 10=\\\\=x(x-5)-2(x-5)=\\\\=(x-5)(x-2)[/tex]

Answer:

[tex]\boxed{(x-2)(x-5)}[/tex]

Step-by-step explanation:

=> [tex]x^2-7x+10[/tex]

Using mid-term break formula

=> [tex]x^2-5x-2x+10[/tex]

=> x(x-5)-2(x-5)

Taking (x-5) as common

=> (x-2)(x-5)

Answer:

[tex]\large \boxed{\sf \ \ g(x)=3|x| \ \ }[/tex]

Step-by-step explanation:

Hello,

Let's follow the instructions !

Step 1

g(x)=k*f(x)=k*|x|

We know that the point (2,6) is on the graph so 6=g(2) meaning:

6=k*|2|=k*2

*** divide by 2 both sides ***

k = 6/2 = 3

Step 2

g(x)=3*|x|

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

Line y = −x + 4 intersects the line y = 3x + 3.

Step-by-step explanation:

Please Help! Which description best describes the solution to the following system of equations?

y = −x + 4

y = 3x + 3

Line y = −x + 4 intersects the line y = 3x + 3.

This is the response because the solution to a system of two equations is represented by the intersection of the equations of the two lines/curves.

Lines y = −x + 4 and y = 3x + 3 intersect the x-axis.

Lines y = −x + 4 and y = 3x + 3 intersect the y-axis.

Line y = −x + 4 intersects the origin.

Answer:

9

Step-by-step explanation:

The diagram showing the three pieces of paper of three digit in which two of the letters were covered can be seen below.

From the diagram; we have;

243 , 1_7 , _26

Assuming the covered digits are _

The sum is 826.

i.e

243 + 1_7 + _26 = 826

The objective is to determine the sum of the two unknown digits

So; we need to think about what number can we add put in 1_7 to determine the covered digit in  _26

From ; 1_7 , we have the choice to pick from 0 - 9

Assuming the covered digit is 0; let's check if we are right

So; 243 + 107  +  _26 = 826

350 +   _26 = 826

_26 = 826 - 350

_26 = 476

So; the covered digit is in the position of 4 , but it doesn't tally together

i.e 426 is not the same as 476, which makes our assumption to be wrong.

Let consider the covered digit to be 5 for example.

So; 243 + 157  +  _26 = 826

400 +   _26 = 826

_26 = 826 - 400

_26 =  426

The covered digit is in the position of 4

SO;

426 = 426

Here , our assumption is right.

As such , the covered digits are 5 and 4

The sum of the two  covered digits are = 5 + 4 = 9

Answer:1.0111111111

Step-by-step explanation:

18.2 - 18 = .2-18 =1.0111111

Answer:

Step-by-step explanation:

[tex]6\: km\: in \:10\: minutes\\First\:lets\:convert\:10\:min\:to\:seconds\\\\1\:minute \:\:\:\:=60\:seconds\\\\10\:minutes = x \:seconds\\\\x = 60\times 10\\x = 600seconds\\\\6km\: = 600\:seconds\\x\:km = 1 \:second\\\\Cross\:Multiply\\600x =6\\\frac{600x}{600} =\frac{6}{600} \\\\x = 1/100\\\\ =0.01km[/tex]

Answer:

D

Step-by-step explanation:

a:angles given do not necessarily prove that ADP and BCP is 30 they can be different

c:angles given are not in triangles

b:with regards to the square I don't think you can really prove the statement

Answer:

Im not sure, is this correct?

Answer:

  A.  4.40 square units

Step-by-step explanation:

The triangle is isosceles with base angles of 70°. The a.pex angle will be ...

  180° -2(70°) = 40°

The area of a triangle can be computed from two sides and the angle between them as ...

  A = (1/2)ab·sin(γ)

  A = (1/2)(3.7)(3.7)sin(40°) ≈ 4.40 . . .  square units

Approximate what the value of [tex]7/15[/tex] is by using calculator.

[tex]7/15\approx0.47[/tex].

And now just multiply by 100 to get percentage.

[tex]100\cdot0.47=\boxed{47\%}[/tex].

Hope this helps.

Answer:

24%

Step-by-step explanation:

7\15 x 100

simplify and get=140\3

dived140\3=48\2

simplify 48\2=24%

Answer:

Original denominator=9

Step-by-step explanation:

A student accidentally added five to both the numerator and denominator of a fraction, changing the fraction's value to 1/2. If the original numerator was a 2, what was the original denominator.

Original Numerator=2

The new numerator after the addition of 5 will be 2+5=7

New Numerator=7

New denominator=x

Value of the fraction=1/2

The Fraction is written in the form:

7/x=1/2

Cross product

7*2=1*x

14=x

x=14

Therefore, the new denominator (x)=14

Check:

7/14=1/2

Original denominator before 5 was accidentally added

=14-5

=9

Answer:

[tex]Area = 24.8 cm^2[/tex]

Step-by-step explanation:

Given

[tex]PQ = 4.9cm[/tex]

[tex]RQ = 11 cm[/tex]

[tex]<Q = 113\ degrees[/tex]

Required

Find the area of the triangle

When presented with a triangle where two sides are known and an angle between the two sides; The area is solved as follows;

[tex]Area = \frac{1}{2}ABSinC[/tex]

Where A and B are the two known sides and C is the angle between A and B

Having said that;

The area of the triangle is calculated as thus;

[tex]Area = \frac{1}{2} * RQ * PQ * SinQ[/tex]

[tex]Area = \frac{1}{2} * 11 * 4.9 * Sin113[/tex]

[tex]Sin113 = 0.9205[/tex]

Hence, the equation becomes

[tex]Area = \frac{1}{2} * 11 * 4.9 * 0.9205[/tex]

[tex]Area = \frac{11 * 4.9 * 0.9205}{2}[/tex]

[tex]Area = \frac{49.6152}{2}[/tex]

[tex]Area = 24.8076[/tex]

[tex]Area = 24.8 cm^2[/tex] --- Approximated

Answer:

803.84yd²

Step-by-step explanation:

Surface Area of A Sphere: [tex]A=4\pi r^2[/tex]

We are given the radius of 8 yards.

Using 3.14 for pi:

[tex]A=4*3.14*8^2\\\\A=4*3.14*64\\\\A=12.56*64\\\\\boxed{A=803.84}[/tex]

The correct answer should be 803.84yd².

Brainilest Appreciated.

Answer:

803.84 yd^2

Step-by-step explanation:

4*3.14*8^2

12.56*64

803.84

brainliest pls

hope i helped

           -ZYLYNN

Answer:

D.The distance you drive

Step-by-step explanation:

If you describe this situation as function, then it will look as:

The range of the function is the set of output values

In this case the range is the distance you drive

Correct option is D.

Answer:

The distance you drive

Step-by-step explanation:

i just took the test

Answer:

[tex]\boxed{x = 30}[/tex]

Step-by-step explanation:

x + 2x + 3x = 180 (Interior angles of a triangle add up to 180 degrees)

=> 6x = 180

Dividing both sides by 6

=> x = 180 / 6

=> x = 30

Answer:

x= 30

Step-by-step explanation:

3x + 2x + x = 180

6x= 180

x = 180/6

:• x = 30

Answer:

1) f(X) = ( X+5 )^3 ( x-2 )^2

Answer:

idk but i think the answer is d

Answer:

The answer is D. Circle

Step-by-step explanation:

The bottom of a cylinder is a circle.

Answer:

$96,220

Step-by-step explanation:

Daniel is a very good sales person

His annual sales average is $187,400

His commission on sales is 30%

= 30/100

= 0.3

His annual base salary is $40,000

Therefore, Daniel's annual gross income can be calculated as follows

Annual gross income= Annual base salary + Commission on sales

= $40,000 + (30/100 × $187,400)

= $40,000 + 0.3×$187,400

= $40,000+$56,220

= $96,220

Hence Daniel's annual gross income is $96,220

Answer:

N

Step-by-step explanation:

Since this hexagon has six sides, and to end up back at E again we’d need to rotate 360°, this means for every side we cross it’s a 60° turn.

Therefore, [tex]60 \cdot 2 = 120[/tex]° would be two sides.

Since we are moving counter-clockwise, the image for E would be to the left of it.

Two sides/points to the left of E is N, so the image of E for a 120° counterclockwise rotation around the center of this shape would be N.

Hope this helped!

Answer:

Center of the circle is (-9, -7)

Radius of the circle = 5 units

Step-by-step explanation:

Given question is incomplete: here is the complete question.

Certain circle can be represented by the following equation. x^2+y^2+18x+14y+105=0.

What is the center of this circle ?

What is the radius of this circle ?

Since equation of the circle has been given by the equation,

x² + y² + 18x + 14y + 105 = 0

Now we will convert this equation to the standard form of the circle.

x² + 18x + y² + 14y = -105

[x² + 2(9)x] + [y² + 2(7)x] = -105

[x² + 2(9)x + 9²] + [y² + 2(7)y + 7²] = 9² + 7² - 105

(x + 9)² + (y + 7)² = 81 + 49 - 105

(x + 9)² + (y + 7)² = 25

(x + 9)² + (y + 7)² = 5²

By comparing this equation with the standard equation of the circle → (x - h)² + (y - k)² = r²

Answer:

Chocolate Chips cost $2.25 and Walnuts cost $3.25 per pound each

Step-by-step explanatChocion:

Let x = cost of pounds of chocolate chip cookies and y = cost of pounds of walnuts.

From the question, we get 5x+3y = 21 and 2x+6y = 24. To solve the equation, we use substitution. From the first equation, we get y = (21-5x)/3. We substitute the y into the second equation to get 2x + 6(21-5x)/3 = 24. This turns out to be 2x+(42-10x) = 24. Adding like terms you should get 42-8x = 24. Solving for x, x = $2.25 per pound. Plugging this into the first equation, we get 5(2.25)+3y = 21. Solving for y, we get $3.25 per pound of walnuts. If we plug in the numbers into the 2 equations, we will get the right total.

Answer:

6.25 kg cement, 7.5 L water

Step-by-step explanation:

2.5 kg cement / 4 kg sand = x kg cement / 10 kg sand

x = 6.25

3 L water / 4 kg sand = y L water / 10 kg sand

y = 7.5