Find the values of x and y that make these triangles congruent by the HL Theorem.

Answer:

Option (1)

Step-by-step explanation:

Surface area of a cylindrical vessel is given by the expression,

Surface area = [tex]2\pi r^{2}+2\pi rh[/tex]

                     = [tex]2\pi r(r+h)[/tex]

Here, r = Radius of the vessel

h = Length of the vessel

By substituting the values of 'h' and surface area in the expression,

2πr(12 + h) = 540

Therefore, Option (1) will be the correct option.

Answer:

2)

3)

4)

5)

6)

Step-by-step explanation:

Answer:

x ≈ 55.5°

Step-by-step explanation:

Using the Sine rule in the triangle

[tex]\frac{5}{sinx}[/tex] = [tex]\frac{5.7}{sin70}[/tex] ( cross- multiply )

5.7 sinx = 5 sin70° ( divide both sides by 5.7 )

sin x = [tex]\frac{5sin70}{5.7}[/tex] , then

x = [tex]sin^{-1}[/tex] ([tex]\frac{5sin70}{5.7}[/tex] ) ≈ 55.5° ( to the nearest tenth )

Answer:

[tex]x =55[/tex]°

Step-by-step explanation:

An isosceles triangle is a triangle with two congruent sides. One can see that the given triangle is an isosceles triangle, as two sides have a side length of (5) units. One property of an isosceles triangle is the base angles theorem. This theorem states that the angles opposite the congruent sides of an isosceles triangle are congruent. In this situation, this means that two angles have a measure of (x) degrees. As a given, the sum of angles in any triangle is (180) degrees. Thus, one can form an equation, and solve for the unknown, (x):

[tex]x + x + 70 = 180[/tex]

Simplify,

[tex]2x + 70 =180[/tex]

Inverse operations,

[tex]2x + 70 =180[/tex]

[tex]2x = 110[/tex]

[tex]x =55[/tex]

24

i'm pretty sure of this, if those are the four possible answers.

Step-by-step explanation:

please mark this answer as brainlist

Answer:

If M and N are parallel, then the correspondent angles generated by the intersection with line R (or line S) should be equal.

So, if M and N are parallel, we should get that angles 2 and angle 4 are equal, as both of these are on the fourth quadrant of the intersection with the same line.

Similarly, if R and S are parallel, then correspondent angles generated by the intersection with line M (or line N) should be equal, this means that:

angle 3 and angle 7 should be equal.

Also remember that if we have two lines intersecting, generating 4 angles, any pair of two adjacent angles will always add to 180°.

Here we have two cases:

1)  m∠3=69°, m∠7=71°

Here we can see that:

m∠3 ≠ m∠7

Thus, lines  R and S are not parallel.

And here we do not have any information on the angles 1, 2, 5, and 6, so we can't compare the angles generated by line N with the ones generated by line M, so we can not know if lines N and M are parallel or not.

2) Now we have that:

m∠3=76°  , m∠8=114°

Notice that angle 8 and angle 7 are adjacent, then we have that:

∠7 + ∠8 = 180°

And we know that:

∠8 = 114°

Then:

∠7 + 114° = 180°

∠7 = 180° - 114° = 76°

Then we have:

∠7 = ∠3

From this we can conclude that lines R and S are parallel.

(again, we can not do anything with lines N and M)

Answer:

y = 6x

Step-by-step explanation:

The equation representing a proportional relationship is

y = kx ← k is the constant pf proportionality

Here k = 6 , then

y = 6x ← equation of proportion

Answer:

She is not correct, she would need to have something before the y to know the answer

Step-by-step explanation:

hope this helps :)

Answer:

continuous, continuous

Step-by-step explanation:

Answer:

11.5 foot (rounded to one decimal)

Step-by-step explanation:

x = 20×sin(35)

x ≈ 11.47153.. ≈ 11.5

Answered by GAUTHMATH

Answer:

The direction of a vector is the measure of the angle it makes with a horizontal line . tanθ=y2 − y1x2 − x1 , where (x1,y1) is the initial point and (x2,y2) is the terminal point. Example 2: Find the direction of the vector →PQ whose initial point P is at (2,3) and end point is at Q is at (5,8)

Answer:

y = 1/2x + 5/2

Step-by-step explanation:

y = 1/2x + b

5 = 1/2(5) + b

5 = 5/2 + b

5/2 = b

Answer:

C. Kiometers per hour. I think

82.053°??

(Tried going as fast as I can)

Answer:

I don't know what to do so I just answered the volume of this tell me if I am wrong

Step-by-step explanation:

radius : 3.5 cm

volume : ?

now,

volume (v) : π × r (2)

: 22/7 × 3.5(2)

:22×3.5×3.5 by 7

therefore,

the volume is 38.5

Answer:

120°

Step-by-step explanation:

<U + <T = 180

or, 6x-6+9x+21=180

or, 15x=165

or, x=11

so, <T = 9×11+21 = 120

Answer:

124

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

The area of a square is given by

A = s^2 where s is the side length

36 = s^2

Taking the square root of each side

sqrt(36) = sqrt(s^2)

6 = s

The side length of the pen is 6 ft

To find the perimeter of a square

P = 4s

P = 4*6 = 24

He will need 24 ft of fencing

Answer:

3/4

Step-by-step explanation:

The possible outcomes when tossing two coins are

HH  HT TH TT  where H is heads and T is tails

There are 3 outcomes where we get at least one head

Positive outcomes over total outcomes

3/4

Hi!

[tex]|15x+2|=8\\\\\\15x+2=8\\15x=8-2\\15x=6 \ \ |:15\\\boxed{x_1=0,4}\\\\\\15x+2=-8\\15x=-8-2\\15x=-10 \ \ |:15\\\boxed{x_2=-\frac{2}{3}}[/tex]

Answer:

x = 2/5      x = -2/3

Step-by-step explanation:

|15x + 2 |= 8

There are two solutions, one positive and one negative

15x + 2 = 8  and 15x + 2 = -8

Subtract 2 from each side

15x + 2-2 = 8-2  and 15x + 2-2 = -8-2

15x = 6                             15x = -10

Divide by 15

15x/15 = 6/15                   15x /15 = -10/15

x = 2/5                               x = -2/3

Answer:

12

Step-by-step explanation:

We can say that two polygons are similar to each other if both of the polygons have the same shape and their corresponding sides are in the same proportion, hence the ratio of their corresponding sides are equal to each other.

As we can see from the problem since both of the polygons are similar, hence the ratio of their corresponding sides are in the same proportion, therefore let x represent the missing length, hence:

[tex]\frac{x}{15} =\frac{32}{40} =\frac{32}{40} \\\\\frac{x}{15} =\frac{32}{40} \\\\x=\frac{32*15}{40} \\\\x=12[/tex]

Answer:

[tex]\frac{400}{3} \pi[/tex]

Step-by-step explanation:

Formula for Cone: π[tex]r^{2}\frac{h}{3}[/tex]

Since we have all the components, we can find the volume of the cone.

R = 10

H = 4

π[tex]10^{2}\frac{4}{3}[/tex]

10×10 = 100

100π[tex]}\frac{4}{3}[/tex]

[tex]}\frac{4}{3}[/tex]×100

4       100          400

---  ×   -----    =    ------

3          1              3

Answer: [tex]\frac{400}{3} \pi[/tex]

Hope this helped.

Find the volume of a cone with radius 10 feet and height of 4 feet.

Given Data :

Radius = 10 feet

Height = 4 feet

Formulae :

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \star \: \blue{ \underline{ \overline{ \green{ \boxed{ \frak{{ \sf V}olume_{(Cone)} = \pi {r}^{2} \frac{h}{3}}}}}}}[/tex]

Putting the values we get

[tex] \frak{ Volume_{(Cone)} = 3.14 × (10)² × \frac{4}{3} }[/tex]

[tex] \frak{Volume_{(Cone)} = 3.14 × 100 × \frac{4}{3} }[/tex]

[tex] \frak{Volume_{(Cone)} = 314 \times \frac{4}{3} }[/tex]

[tex] \frak{Volume_{(Cone)} = 418.67 \: ft³ }[/tex]

Henceforth, the volume is 418.67 ft³

Answer:

I dont know. sorry sorry

Answer:

86.6% ; 93.4%

Step-by-step explanation:

To obtain the population proportion from the sample, we calculate the confidence interval ;

Confidence interval = phat ± margin of error

Phat = 90% ; margin of error = +3.4%

Hence,

90% ± 3.4%

(90 - 3.4)% ; (90 + 3.4)%

86.6% ; 93.4%

Answer:

A, [tex]{x | x<-2}[/tex]

Step-by-step explanation:

We have the inequality as

[tex]3x<-6[/tex]

We can simplify this inequality a little bit more by dividing 3 from both sides.

That gets us

[tex]x<-2[/tex]

We can see the only answer that has this is A.

Basically count/add up the total amount of degrees that are include in the angle <FHD.

-- (central angles)

So, 35 + 65 = 100 degrees

Answer:

17.5

Step-by-step explanation:

all the 10 numbers added together equal 10*16 = 160

-this is because all of the numbers added, and then divided by 10 equals 16

so the numbers in total, added equal 160.

subtract 20 (7+13) from 160 = 140

divide by 8

140/8 = 17.5