Triangle ABC is given where m∠A = 33°, a = 15 in., and the height, h, is 9 in. How many distinct triangles can be made with the given measurements? Explain your answer.

Lets set the two numbers as 'a' and 'b'

Now let us set up some equations based on the information:

Equations

 a + b = 49 -- equation 1

 a - b = 15 -- equation 2

Solve:

 (equation 1) + (equation 2)

    2a = 64

      a = 32 -- equation 3

 (equation 3)'s value of a into (equation 2)

  32 - b = 15

    b = 17

The products of 'a' and 'b' is 544

Hope that helps!

Answer:

slope = 3

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, 3 ) and (x₂, y₂ ) = (9, 27 )

m = [tex]\frac{27-3}{9-1}[/tex] = [tex]\frac{24}{8}[/tex] = 3

[tex]\mathbb{FINAL\:ANSWER:}[/tex]

[tex]\huge\boxed{\sf\:Slope=3}}[/tex]

[tex]\mathbb{SOLUTION\:WITH\:STEPS:}[/tex]

Hi! Hope you are having a nice day!

We are given 2 points that the line passes through, so we can use the slope formula and find the slope.

Slope Formula:

[tex]\displaystyle\frac{y2-y1}{x2-x1}[/tex]

[tex]\displaystyle\frac{27-3}{9-1}[/tex]

[tex]\displaystyle\frac{24}{8}[/tex]

The fraction can be reduced:

[tex]\displaystyle\frac{3}{1}[/tex]

which is the same as

[tex]3[/tex]

Hope you could understand everything.

#CarryOnLearning

Answer:

143 Gallons

Step-by-step explanation:

miles/gallon per 26 miles= amount of gallons.

3718/26= 143 gallons of gas.

Your question is...?

Answer: Train A weighs 418 tons and Train B weighs 61 tons

Step-by-step explanation:

Let a represent the weight of Train A, and let b represent the weight of Train B.

We can set up a system of equations.

a + b = 479

a - b = 357 ( as we are given that a is heavier than b )

We can add the two equations:

a + b + a - b = 479 + 357

Combine like terms (which cancels out the b):

2a = 836

Divide both sides by 2:

a = 418

We can plug this back into the first equation:

418 + b = 479

Subtract 418 from both sides:

b = 61

The area for both polygons are:

Green polygon: 8

Red polyogon: 9

hope this helps

Step-by-step explanation:

please mark me as as pleaseWhen two lines intersect, the opposite (X) angles are equal. In the diagram above, the two green angles are equal and the two yellow angles are equal. These X angles are called vertically opposite angles because they are opposite each other at a vertex.

hmmm if we take the whole area of the rectangle, well the rectangle is a 6x5, so the whole of its area is 6*5 = 30 in².

now, we have a circle inside, it really doesn't matter if it's in the center or corner so long is inside, hmmm well, we know it has a radius of 1, so let's get the area of the circle, and then subtract that area from that of the whole rectangle, by subtracting it we're in essence making a whole in the rectangle's area and what's leftover is the shaded region, that part that was not subtracted.

[tex]\stackrel{\textit{\Large Areas}}{\stackrel{rectangle}{(6)(5)}~~ - ~~\stackrel{circle}{\pi (1)^2}}\implies 30~~ - ~~\pi \implies 30~~ - ~~3.14\implies 26.86[/tex]

Answer:

1a: 1,000,000

2a: 1

3a: 6

4a: 0

5a: 1

6a: 1

7a: 9

1b: 1

2b: 1

3b: 1

4b: 1

5b: 1

6b:49

7b: 1

Step-by-step explanation:

Answer:

1a. 1,000,000

1b. 1

2a. 1

2b. 1

3a. 6

3b. 1

4a. 0

4b. 1

5a. 1

5b. 1

6a. 1

6b. 49

7a. 9

7b. 1

Step-by-step explanation:

1a:

1b:

2a:

2b:

3a:

3b:

4a:

4b:

5a:

5b:

6a:

6b:

7a:

7b:

Answer:

2nd choice

When looking for common factors we are looking for the prime factors that are in common and then multiplying the prime factors together to get the GCF.

Step-by-step explanation:

The picture shows the choice that is being used to find the GCF.

Answer:

2nd choice

When looking for common factors we are looking for the prime factors that are in common and then multiplying the prime factors together to get the GCF.

Answer:

72

Step-by-step explanation:

3 1/2 = 3.5

16 1/2 =  16.5

16.5/3.5 = 4.71428571429

round down because she can't make like 7/10 of a cookie

Answer:

Refer to the pic

Step-by-step explanation:

The approximate lateral area of the circular cone with has the base diameter 18 in and height 40 in long is 1,159 square inches

Lateral area of the cone is the area bounded by the surface of the cone, and this Lateral area of the cone can be found out using the following formula.

[tex]A=\pi r\sqrt{h^2+r^2}[/tex]

here. (h) is the height of the cone and (r) is the radius of the cone.

A cone has a circular base with a diameter of 18 inches. The height of the cone is 40 inches.

Put these values in the above formula as,

[tex]A=(3.14) (9)\sqrt{40^2+9^2}\\A\approx1159\rm \; in^2[/tex]

Hence, the approximate lateral area of the circular cone with has the base diameter 18 in and height 40 in long is 1,159 square inches

Learn more about the lateral area of the cone here:

https://brainly.com/question/858717

Answer:

∡CFE and ∡BFD, ∡AFB and ∡BFD

Step-by-step explanation:

It is because supplementary angle is straight lines which add ups to 180°

Therefore, ∡CFE and ∡BFD, ∡AFB and ∡BFD are supplementary angles

Answer:

Step-by-step explanation:

The solution of system of equations is x=1.5 and y=2.75. It means, the yards of silk are 1.5 and yards of cotton are 2.75.

Answer:

3,2 i think but I could be wrong

Step-by-step explanation:

Step-by-step explanation:

AB = sqrt((4-0)^2 + (6-(-1))^2) = sqrt(16+49)=sqrt(65)

CD=sqrt((-8-(-4))^2 + (0-7)^2) = sqrt(49+16)=sqrt(65)

Therefore, sides AB and CD are congruent because they have the same measure.

BC = sqrt((4-(-4)^2 + (-1-0)^2) = sqrt(64+1)=sqrt(65)

AD=sqrt((0-(-8))^2 + (7-6)^2) = sqrt(64+1)=sqrt(65)

Therefore, sides BC and AD were congruent because they have the same measure.

This means ABCD is a parallelogram because there are two pairs of opposite congruent sides.

Now, notice that AB=BC, meaning sides AB and BC are congruent.

This means that parallelogram ABCD has one pair of consecutive congruent sides, and is thus a rhombus.

Answer:

10°

Step-by-step explanation:

Since 90° makes a right angle, you do 90-80, to get 10.

Answer:

[tex] \frac{10}{100} \times 88 = 8.8 [/tex]

Step-by-step explanation:

you divide the 10 percent by 100 percent

because parentage is always out of 100 percent

And multiply buy the amount given

Not letting me add answer mentioned forbidden words

Refer to the attachment

Answer:

The volume of a sphere is equal to 43 times Pi π times the radius cubed. Substitute the value of the radius r=9 into the formula to find the volume of the sphere. Pi π is approximately equal to 3.14

I am not sure though

Answer:Volume

Quantity of three-dimensional space

Step-by-step explanation:
Volume is a scalar quantity expressing the amount of three-dimensional space enclosed by a closed surface. For example, the space that a substance (solid, liquid, gas, or plasma) or 3D shape occupies or contains. Volume is often quantified numerically using the SI derived unit, the cubic metre

Answer:

[tex] - \frac{1}{6} [/tex]

Step-by-step explanation:

[tex] - \frac{1}{2} + \frac{1}{3} = - \frac{1}{6} [/tex]

Answer:

[tex]\huge\boxed{\bf\:(x + 2y)^{2} - 3}[/tex]

Step-by-step explanation:

[tex]x ^ { 2 } +4xy-3+4y ^ { 2 }[/tex]

Rearrange the terms.

[tex]x ^ { 2 } +4xy+4y ^ { 2 } - 3[/tex]

Here, x² + 4xy + 4y is in the form of the algebraic identity ⟶ x² + 2xy + y² = (x + y)². Then, here, x = 1 & y = 2y.

[tex](x + 2y)^{2} - 3[/tex]

Leave 3 as it is as 3 can't be further simplified. So, the final answer is:

[tex]\boxed{\bf\:(x + 2y)^{2} - 3}[/tex]

[tex]\rule{150}{2}[/tex]