How do I find the area of this figure?

Answer:

3. There is enough information to prove that ΔABC and ΔDEF are congruent using the Angle-Side-Angle (ASA) congruency theorem

4. More information is required to prove that ΔGFH and ΔJKL are congruent

5. ∠B ≅ ∠Y

6. ∠A ≅ ∠X

Step-by-step explanation:

3. In triangle ΔABC, and triangle ΔDEF, we have;

Corresponding angles ∠A and ∠D are congruent

Corresponding angles ∠C and ∠F are congruent

Corresponding side in between the given angles [tex]\overline{AC}[/tex] and [tex]\overline{DF}[/tex] are congruent

Therefore ΔABC is congruent to ΔDEF by the Angle-Side-Angle (ASA) rule of congruency

4. The corresponding angles ∠F and ∠J in triangle ΔGFH and triangle ΔJKL are congruent as well as the corresponding adjacent sides to the given angles and the corresponding opposite sides to the given angles are congruent, however, there is not enough information to prove that the two triangles are congruent

The included angles, ∠H and ∠L between the sides congruent corresponding sides should be congruent or the other adjacent sides [tex]\overline{FG}[/tex] and [tex]\overline{JK}[/tex] to the congruent angles ∠F and ∠J should be congruent for the triangles ΔGFH and ΔJKL to be congruent

5. Given [tex]\overline{AC}[/tex] ≅ [tex]\overline{XZ}[/tex], ∠C ≅ ∠Z, using the Angle-Angle-Side, AAS, rule of congruency, we have;

The angles adjacent to ∠C and ∠Z, and opposite to [tex]\overline{AC}[/tex] and [tex]\overline{XZ}[/tex], which are B and ∠Y are congruent

Therefore, we have;

∠B ≅ ∠Y using AAS rule of congruency

6. Using Angle-Side-Angle, ASA, rule, given;

[tex]\overline{AC}[/tex] ≅ [tex]\overline{XZ}[/tex], ∠C ≅ ∠Z, then the angles on the other side of [tex]\overline{AC}[/tex] and [tex]\overline{XZ}[/tex] which are ∠A and ∠X should be congruent, we have;

∠A ≅ ∠X

Answer:

Yes the triangles are similiar

Answer:

The question is incorrect. please write your coordinates in the form (x, y).

Answer:

(-12,3,5)

x=-12,y=3.z=5

Step-by-step explanation:

Answer:

EEEEEEEEEEEEEEEEEEvyeydbx rehiw kwsni u/tsstties i speake no

Step-by-step explanation:

Answer:

A and D and E

Step-by-step explanation:

Substitute the variable(in this case) t for 3, then use the order of operations to simplify(PEMDAS), which will give you 33 for both expressions. To see if two expressions are equivalent, you need to substitute the variable for an odd number AND an even number, so next, substitute the variable t for the number 6, which will give you 51 for both expressions. That means the expressions are equivalent

Hope this helps :)

P.S. Mark brainliest pls

Answer:

Step-by-step explanation:

Given expressions:

The value of both expressions when t=3 is 33.

The value of both expressions when t=3 is 23.

The value of both expressions when t=6 is 41.

The value of both expressions when t=6 is 51.

The two expressions are equivalent.

The two expressions are not equivalent.

Answer:

(-2,-2)

Step-by-step explanation:

Answer:

B: N

Step-by-step explanation:

Answer:

1. c=13

2. a=12

Step-by-step explanation:

We have to use the Pythagorean theorm

a^2+b^2=c^2

(5*5)+(12*12)=c^2

25+144=c^2

169=c^2

Now we have to square root 169 to find c

[tex]\sqrt{169}[/tex]

c=13

For this one we have to do c^2-b^2=A^2

(15*15)-(9*9)

225-81=a^2

144=a^2

[tex]\sqrt{144}[/tex]

a=12

Answer: if they at 5 miles right now it should take 10 more miles to reach their target/ location

Answer:

11.9 feet

Step-by-step explanation:

x^2=8^2+13^2-2×8×13×cos64

√x^2 =√141.8188015

x=11.90876994

The distance between the two golf balls is 11.91 feet

The law of cosines formula can be used to find the missing side of a triangle when its two sides and the included angle is given.

There are three laws of cosines and we choose one of them to solve our problems depending on the available data.

The distance between the golf balls is 8 feet and 13 feet.

angle = 64

For, this we will use the cosine theorem

[tex]cos 64^{0} =\frac{8^{2}+13^{2}-x^{2}}{2*8*13}\\ 0.4384= \frac{64+169-x^{2}}{208}[/tex]

[tex]x^{2} = 141.82[/tex]

and, x =11.91

So, the distance between the two balls is: 11.91 feet

Learn more about cosine here:

https://brainly.com/question/3482956

#SPJ2

Answer:

[tex]\frac{8}{\left(-x+2\right)^2}[/tex] & [tex]x = 1, x = 3[/tex]

Step-by-step explanation:

I'm sure you are familiar with the product rule,

If y = u*v => dy/dx = u * dv/dx + v * dy/dx <----- product rule

In this case:

[tex]u=3x+2,\:v=\left(2-x\right)^{-1},\\=>\frac{d}{dx}\left(3x+2\right)\left(2-x\right)^{-1}+\frac{d}{dx}\left(\left(2-x\right)^{-1}\right)\left(3x+2\right)[/tex]

Now remember the sum rule:

[tex]\frac{d}{dx}\left(3x+2\right) = \frac{d}{dx}\left(3x\right)+\frac{d}{dx}\left(2\right),\\\frac{d}{dx}\left(3x\right) = 3,\\\frac{d}{dx}\left(2\right) = 0\\\frac{d}{dx}\left(3x+2\right) = 3[/tex]

For this second bit we apply the chain rule:

[tex]\frac{d}{dx}\left(\left(2-x\right)^{-1}\right) = -\frac{1}{\left(2-x\right)^2}\frac{d}{dx}\left(2-x\right),\\\frac{d}{dx}\left(2-x\right) = -1,\\\\=> -\frac{1}{\left(2-x\right)^2}\left(-1\right)\\=> \frac{1}{\left(2-x\right)^2}[/tex]

If we substitute these values back into the expression...[tex]\frac{d}{dx}\left(3x+2\right)\left(2-x\right)^{-1}+\frac{d}{dx}\left(\left(2-x\right)^{-1}\right)\left(3x+2\right)[/tex]

...we get the following:

[tex]3\left(2-x\right)^{-1}+\frac{1}{\left(2-x\right)^2}\left(3x+2\right)[/tex]

The rest is just pure simplification:

[tex]3\left(2-x\right)^{-1}+\frac{1}{\left(2-x\right)^2}\left(3x+2\right)\\= \frac{3}{-x+2}+\frac{3x+2}{\left(-x+2\right)^2}\\= \frac{3\left(-x+2\right)}{\left(-x+2\right)^2}+\frac{3x+2}{\left(-x+2\right)^2}\\\\= \frac{3\left(-x+2\right)+3x+2}{\left(-x+2\right)^2}\\\\= \frac{8}{\left(-x+2\right)^2}[/tex]

Now let's equate this to equal 8 for the second bit and solve for x:

[tex]\frac{8}{\left(-x+2\right)^2}=8,\\\frac{8}{\left(-x+2\right)^2}\left(-x+2\right)^2=8\left(-x+2\right)^2,\\8=8\left(-x+2\right)^2,\\\left(-x+2\right)^2=1,\\x = 1, x = 3[/tex]

Answer:

y = 2.5x

Step-by-step explanation:

Answer:

in most states sales tax is .07 cents for every dollar you spend. for food it is different

Step-by-step explanation:

Answer:

A. y=2x

Step-by-step explanation:

m=rise/run

rise=2

run=1

2/1=2

and that was the only equation with a slope of 2

Answer:

23

Step-by-step explanation:

Answer:

3550 ft.

Step-by-step explanation:

y = 500(5) + 1050

  = 2500 + 1050

  = 3550 ft,

Step-by-step explanation:

Sum of 3 by 4 and 7 by 4 is

[tex] = \frac{3}{4} + \frac{7}{4 } \\ = \frac{3 + 7}{4} \\ = \frac{10}{4} \\ = \frac{5}{2} [/tex]

Hope it will help :)

Answer:

[tex] m\angle A = 79\degree[/tex]

[tex] m\angle B = 112\degree[/tex]

Step-by-step explanation:

ABCD is a cyclic Quadrilateral.

Opposite angles of a cyclic quadrilateral are supplementary.

Therefore,

[tex] m\angle A + m\angle C = 180\degree[/tex]

[tex] m\angle A + 101\degree = 180\degree[/tex]

[tex] m\angle A = 180\degree-101\degree[/tex]

[tex] \red{\bold {m\angle A = 79\degree}} [/tex]

[tex] m\angle B + m\angle D = 180\degree[/tex]

[tex] m\angle B + 68\degree = 180\degree[/tex]

[tex] m\angle B = 180\degree-68\degree[/tex]

[tex] \purple {\bold {m\angle B = 112\degree}} [/tex]

Answer:

6 seconds

Step-by-step explanation:

The computation of the number of second would be

In the case when the ball would hit the ground, the ball height would be zero

So the following equation would be

[tex]0 = -(x -2)^2 + 16\\\\(x -2)^2 = 16\\\\x - 2 = \sqrt{16}\\\\x -2 = 4\\\\x = 6[/tex]

So the number of seconds is 6

9514 1404 393

Answer:

 A)  (3 cm x 4 cm ÷ 2) x 3 cm

Step-by-step explanation:

The volume is the product of the area of the triangular bases and the distance between them.

Each right triangular base has a width of 3 cm and a height of 4 cm. Its area will be given by ...

 A = (1/2)bh

 A = (1/2)(3 cm)(4 cm) = (3 cm × 4 cm) ÷ 2

__

The distance between the triangular bases is marked at the left side of the diagram as 3 cm. So, the volume is ...

 V = Bh

 V = (3 cm × 4 cm ÷ 2) × 3 cm . . . . . matches choice A

There aren't any more steps. The answer starts by saying how the volume is computed. Then it shows how to find the numbers that go into that computation. Finally, it puts all that together in the form that is required to match an answer choice.

It might also be useful for you to draw the net to scale on a piece of paper, cut it out, and fold it along the lines to actually make a triangular prism. A little hands-on is always helpful in math. It only takes 5 or 10 minutes and can give you great insight into both prisms and nets.

Answer:

It is Linear

Step-by-step explanation:

We know the regular Linear equation is y = mx + b. In this case, the mx and the b switched places, but the equation still works the same way. y = -2x + 3

Answer:

yes

Step-by-step explanation:

Linear equations look like this

y=mx+b

where m is the slope

and b is the y intercept

if we switch -2x and the 3 we have the following

y= -2x+3

which looks like our y=mx+b

Answer:

No, her reasoning is wrong

Step-by-step explanation:

Her reasoning is not correct because for one the expression clearly has a term. a/2 is a term on its own. So she concluding that a/2 isn't a term is quite wrong. Again, her basis for conclusion being that there exists no addition or subtraction signs makes the equation not being a term wrong, as well. Even though there isn't and subtraction nor addition sign, it does not stop it from being any less of a term

Answer:

1.2 * 10^3

Step-by-step explanation:

3.12 * 10^8

=========

2.6 * 10^5

Start by doing 3.12 / 1.6 = 1.2 and that is the correct number of sig digs.

Now get the power on the 10. When dividing, the powers subtract.

10^(8 - 5)

10^ 3

The answer is 1.2 * 10^3

Answer:

no.

Step-by-step explanation:

Answer:

Y = 3/2x + 8

Step-by-step explanation:

Slope (AKA M) can be found searching for each point on the graph. Since the graph starts at 8 it is the Y intercept (AKA B)

Answer: it will be the same!