What additional information is required in order to know what triangles are congruent

Answer:

The man traveled 12.70 miles.

Step-by-step explanation:

We can find the distance traveled by the man knowing:

[tex]d_{W}[/tex]: the distance at the west = 8.5 miles

[tex]\theta_{NW}[/tex]: the northwest angle = 42°

Then by using the following trigonometric identity we have:

[tex] sin(\theta) = \frac{d_{W}}{d_{NW}} [/tex]

[tex] d_{NW} = \frac{d_{W}}{sin(\theta)} = \frac{8.5 miles}{sin(42)} = 12.70 miles [/tex]

Therefore, the man traveled 12.70 miles.

I hope it helps you!                                    

Answer: Okay, I can find the slope, the answer is m=5.

Step-by-step explanation: To find the slope, use this formula:[tex]m=\frac{rise}{run}=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]. Please mark me as brainliest.

The slope as evaluated from the given pair of points is; Slope, m = 5.

The slope of a line defined by two points simply refers to the rate of change of the function given by the line.

Hence, slope, m = (28 -18)/(4 -2)

Read more on slope of given Points;

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Answer:

y=1/2x+4

Step-by-step explanation:

Refer to the picture that given :)

Answer:

We have been given that

72 persons has enough food for 7days.

After 1 day they decided to finish the food in remaining 3 days.

We need to find number of invitees to finish the food.

After one day there are 72 people and they have food for 6 days.

If people are changed n times, time will change to (1/n) of initial time.

\frac{1}{n}\times 6\ =\ 3n1×6 = 3

Therefore n = 2

Total number of people needed  = n × 72

Total number of people needed = 72×2

Total number of people needed  = 144

Hence the number of invitees = 144 - 72 =72

72 people are invited to finish the food in 3 days

Answer:

x=6

y=3

Step-by-step explanation:

i u can't open the image i attached, pls inform me

Answer:

Company a= 15x+10y+25z+75

Company b=20x+10y+30z+60

Step-by-step explanation:

Answer:

-4.4C+1.1

Step-by-step explanation:

-5.8C+4.2-3.1+1.4C

Add the variables

-5.8C+1.4C

-4.4C

-4.4C+4.2-3.1

Subtract the numbers

4.2-3.1

1.1

-4.4C+1.1

Answer:

55 push ups

Step-by-step explanation:

Given that:

Starting count = 10

Additional count = 3

Starting count + (additional count * number of days)

Exactly on the 3rd week = on the 15th day

10 + (3 * 15)

10 + 45

= 55 push ups

Answer:

x=19/4

Step-by-step explanation:

The product of 5 and a number x is 1/4

Answer:

65% sorry if it isn't right

Answer: it is 98

Step-by-step explanation:

Answer:

800

Step-by-step explanation:

Answer:

4 4/10

Step-by-step explanation:

Well, 32/10 would by 3 2/10 when you divide it, I think. So 4 4/10 is greater.

Fractions may be equal or unequal.

[tex]\mathbf{4\frac{4}{10}}[/tex] is greater than [tex]\mathbf{\frac{32}{10}}[/tex]

The fractions are given as:

[tex]\mathbf{F_1 = 4\frac{4}{10}}[/tex]

[tex]\mathbf{F_2 = \frac{32}{10}}[/tex]

Express the fractions as improper fractions

[tex]\mathbf{F_1 = \frac{44}{10}}[/tex]

Both fractions have the same denominator.

So, the fraction with a greater numerator is greater.

By comparison: 44 is greater than 32

i.e. 44 > 32

Hence, [tex]\mathbf{4\frac{4}{10}}[/tex] is greater than [tex]\mathbf{\frac{32}{10}}[/tex]

Read more about fractions at:

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Answer:

B

Step-by-step explanation:

The equation is

y<=-x+1.

We test all and figure that B is correct.

-2<=-3+1

-2<=-2.

Correct!

So the answer is B

Hope this helps ;D

Answer:

Step-by-step explanation:

the answer is bee

Answer:5.67* 10^7

Step-by-step explanation:

Answer:

V=(3x+2y)^3

Step-by-step explanation:

V=s^3

s=3x+2y

Substitute

V=(3x+2y)^3

Answer:

is there an equation for this or simple math?

Answer:

5 Blocks=4 blocks (on sides) 10 Blocks=9 blocks (on sides)

Step-by-step explanation:

You subtract one set of blocks (on sides) each time. That's it! Hope this helps!

Answer:

[tex]\csc(\theta)=\sqrt{2}[/tex]

Step-by-step explanation:

Please refer to the attachment below.

We have:

[tex]5\cos^2(\theta)+6\sin^2(\theta)=11/2[/tex]

Remember that cosine is the ratio of the adjacent side to the hypotenuse. Therefore:

[tex]\cos(\theta)=\frac{b}{c}[/tex]

And sine is the ratio of the opposite side to the hypotenuse. Therefore:

[tex]\sin(\theta)=\frac{a}{c}[/tex]

Substitute into our original equation:

[tex]5(\frac{b}{c})^2+6(\frac{a}{c})^2=11/2[/tex]

Square:

[tex]\frac{5b^2}{c^2}+\frac{6a^2}{c^2}=\frac{11}{2}[/tex]

Multiply both sides by c squared:

[tex]5b^2+6a^2=\frac{11}{2}c^2[/tex]

Let’s also multiply both sides by 2 to eliminate the fraction:

[tex]10b^2+12a^2=11c^2[/tex]

Remember that according to the Pythagorean Theorem:

[tex]c^2=a^2+b^2[/tex]

Hence, we can make another substitution:

[tex]10b^2+12a^2=11(a^2+b^2)[/tex]

Distribute:

[tex]10b^2+12a^2=11a^2+11b^2[/tex]

Subtract 10b² from both sides:

[tex]12a^2=11a^2+b^2[/tex]

Subtract 11a² from both sides:

[tex]a^2=b^2[/tex]

Take the square root of both sides:

[tex]a=b[/tex]

Hence, a is equivalent to b.

Then, we must have a 45-45-90 Triangle.

Therefore, our angle θ is 45°.

We can substitute this back into our original equation to make sure. Remember that cos(45)=sin(45)=√2/2:

[tex]\begin{aligned} 5\cos^2(45)+6\sin^2(45)&=11/2 \\ 5(\frac{\sqrt{2}}{2}})^2+6(\frac{\sqrt{2}}{2})^2&=11/2 \\ 5(2/4)+6(2/4)&=11/2 \\ 5(1/2)+6(1/2)&=11/2 \\ 5/2+6/2&=11/2 \\ 11/2&=11/2 \;\checkmark \end{aligned} \\[/tex]

Hence:

[tex]\begin{aligned} \sin(45)&=\frac{1}{\sqrt{2}} \\ \Rightarrow \csc(\theta)&=\sqrt{2} \end{aligned}[/tex]

Answer:c

Step-by-step explanation:

math

Answer:

relation

Step-by-step explanation:

i just took the test and got it wrong because of the other answer

Answer:

A triangle has three congruent sides

Step-by-step explanation:

100% .

Answer:

four angles at point B in this second diagram.

Step-by-step explanation:

Answer:

Step-by-step explanation:

first do 60 divided by 4 because we know 25 percent is equal to 1/4

so the answer would be 15

Answer:

y equals 17

So the larger of the two numbers is 17.

Step-by-step explanation:

So, here is what is given.

x+y=31

2x=y+11

So if x+y=31, then 2x+2y will equal 62. Replace 2x with what's given.

y+11+2y=62

3y+11 -11 =62 -11

3y=51

y=17.

Alternatively

x+y=31, and 2x=y+11

x -x +y=31 -x

y=31-x

2x=31-x+11

2x +x=42-x+x

3x=42

x=14

2(14)=y+11

28 -11 =y+11 -11

Again, y equals 17.

So the larger of the two numbers is 17.

9514 1404 393

Answer:

  area = x(3x +10)

Step-by-step explanation:

The lengths of the unmarked sides are found as the difference between the lengths of the parallel marked sides.

  horizontal unmarked = (2x+15) -x = x +15

  vertical unmarked = (2x -5) -(x -5) = x

The area of the figure is the sum of the areas of parts of the figure. The area can be divided several ways. One is shown in the attachment, along with the areas of the parts and of the whole.

The whole area is ...

  x(2x -5) +x(x +15) = x((2x -5) +(x +15)) = x(2x -5 +x +15) = x(3x +10)

Answer:

Acute not equiangular

Step-by-step explanation:

The angles are all below 90 degrees and are not all the same.

Answer:

-1.2

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Given

5| x - 7 | + 4 = 4 ( subtract 4 from both sides )

5 | x - 7 | = 0 ( divide both sides by 5 )

| x - 7 | = 0, thus

x - 7 = 0 ( add 7 to both sides )

x = 7 ← is the only solution → C

Answer:

(x+3)(x+9)=x²+12x+27

2x²+24x+54=374

2x²+24x-320=0

x²+12x-160=0

x=-20 x=8  

2cm,(-20+3)cm,(-20+9)cm

L=2cm W=-17cm H=-11

Step-by-step explanation:

Expand (x+3) and (x+9) -----> x^2+12x+27

Multiply the answer by two 2x^2+24x+54

Move 374 to the side by taking away ----->54-374=320

Divide the whole equation by 2 ---> x^2+12x-160

Factorise

The Width of cuboid is 11cm and Height of cuboid is 17 cm

An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax²+ bx + c = 0, where x is the variable, a and b are the coefficients, and c is the constant term. First, there must be a term other than zero in the coefficient of x² (a≠ 0) for an equation to be a quadratic equation. The x² term is written first when constructing a quadratic equation in standard form, then the x term, and finally the constant term. The numerical values of a, b, and c are often expressed as integral values rather than fractions or decimals.

Given:

Volume of Cuboid= 374

length= 2cm

width= x+ 3

height= x+ 9

Now, Volume of cuboid= length x width x height

2(x+3)(x+9)=374

2(x² + 12x +27)= 374

x² + 12x +27 = 187

x² + 12x -160=0

Now, factorizing

x² + 20x -8x-160=0

x( x+20) -8(x+ 20)=0

(x+ 20)(x -  8)=0

x= 8 and x= - 20

As. the dimensions cannot be negative.

So, Width= x+3 = 8+3 = 11cm

Height= x+9 = 3+9 = 17 cm

Learn more about quadratic equation here:

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