Given: PQRS is a parallelogram; S, P, and T are collinear. Prove: ∠1 ≅ ∠4.

Answer:

I hope this is good enough:

Step-by-step explanation:

I dis graph it just use demo's graphing system.

Answer: n < 8

Step-by-step explanation:

Answer:

Learn vocabulary, terms, and more with flashcards, games, and other study tools. ... The Fee that a driver pays to have automobile insurance is called a ... She receives 7% on her first $1,000 in sales and 15% on the balance of her sales. ... The Jackson's sublet their summer cottage during the winter and spring months.

Step-by-step explanation:

Answer:

the correct answer is A

Answer:

[tex]NK \approx 7.001[/tex], [tex]MK = 2[/tex], [tex]MF \approx 7.001[/tex], [tex]A_{AMNFD} = 49.007[/tex]

Step-by-step explanation:

According to the statement, we find the following inputs:

[tex]\angle MDK = \angle DMF = 45^{\circ}[/tex] (Due to the condition of isosceles trapezoid)

[tex]MD = 9[/tex]

[tex]NF = 5[/tex]

Given than longer base and shorter base are parallel to each other, we conclude that:

[tex]\angle KND = 180^{\circ} -\angle NKD - \angle KDN[/tex]

[tex]\angle KND = 180^{\circ}-90^{\circ}-45^{\circ}[/tex]

[tex]\angle KND = 45^{\circ}[/tex]

[tex]\angle FND = 90^{\circ}-\angle KND[/tex]

[tex]\angle FND = 45^{\circ}[/tex] (By definition of complementary angles)

[tex]\angle FND = \angle NFM = 45^{\circ}[/tex] (Due to the condition of isosceles trapezoid)

[tex]\angle MDK = \angle DMF = \angle FND = \angle NFM = 45^{\circ}[/tex]

[tex]\angle NOF = \angle MOD = \angle MOF = \angle FOD = 90^{\circ}[/tex] (By definitions of complementary and vertical angles and the theorem that states that sum of internal angles within a triangle equals 180º)

[tex]MO = DO = \frac{\sqrt{2}}{2}\cdot MD[/tex] (By theorem for 45-45-90 Right Triangle)

[tex]NO = OF = \frac{\sqrt{2}}{2}\cdot NF[/tex] (By theorem for 45-45-90 Right Triangle)

If we know that [tex]MD = 9[/tex] and [tex]NF = 5[/tex], then we find that:

[tex]DO = MO \approx 6.364[/tex]

[tex]NO = OF \approx 3.536[/tex]

The value of MK is obtained from the following relationship:

[tex]MK = \frac{MD-NF}{2}[/tex]

[tex]MK = \frac{9-5}{2}[/tex]

[tex]MK = 2[/tex]

And the value of KD is calculated from this expression:

[tex]KD = MD-MK[/tex]

[tex]KD = 9-2[/tex]

[tex]KD = 7[/tex]

Now by the Pythagorean Theorem we find that:

[tex]NK = \sqrt{(NO+DO)^{2}-KD^{2}}[/tex]

[tex]NK = \sqrt{9.9^{2}-7^{2}}[/tex]

[tex]NK \approx 7.001[/tex]

And considering the symmetry characteristics of an isosceles trapezoid, we determine MF:

[tex]MF = NO + DO \approx 7.001[/tex]

Lastly, the area of the isosceles trapezoid is determined by the following formula:

[tex]A_{AMNFD} = NF\cdot NK + MK\cdot NK[/tex]

[tex]A_{AMNFD} = NK\cdot (NF+MK)[/tex]

If we know that [tex]NK \approx 7.001[/tex], [tex]NF = 5[/tex] and [tex]MK = 2[/tex], then the area of the figure is:

[tex]A_{AMNFD} = (7.001)\cdot (5+2)[/tex]

[tex]A_{AMNFD} = 49.007[/tex]

Answer:

mean but im guessing as well

Step-by-step explanation:

Answer:

5/14

Step-by-step explanation:

Answer: 160 m^2.

Step-by-step explanation:

Answer:

Endpoint = (32,-23)

Step-by-step explanation:

end point = (16,-17)

midpoint = 24,-20)

other point = (x,y)

(x + 16)/2 = 24

x + 16 = 24 * 2

x + 16 = 48

x + 16-16 = 48-16

x = 32

======================

(y - 17/2 = - 20

y - 17 = - 20 * 2

y - 17 = - 40

y - 17+17 = - 40 + 17

y = - 23

Answer:

f(-1) = -2

Step-by-step explanation:

Just plug in -1 for x

f(-1) = -3(-1) - 5 = 3 - 5 = -2

Answer:

-2

Step-by-step explanation:

Answer:

four thousand three hundred and four

Step-by-step explanation:

Answer:

Four thousand three hundred and four

If this was helpful, please mark brainliest. Have a beautiful day!  

Answer:

766 acres is the difference.

Step-by-step explanation:

2,484 minus 1,718 equals 766 acres.

hope this helped!

:)

Answer:

ranch has a ton of calories

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]a^{m} * b^{m}[/tex] = [tex](ab)^{m}[/tex]

Yes, he can!!

[tex]5^{c} * 2^{c} = (2 * 5 )^{c}[/tex] = [tex]10^{c}[/tex]

For example,

2³ × 3³ = 8 × 27 = 216

6³ = 216

The expression can not be simplified as it do not have same base, and can be written as [tex]10^c[/tex]

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given that, Phillips says he cannot simplify the expression [tex]5^c.2^c[/tex]

She can not simplify the expression because the bases of the expression are not same, and this expression is same as

[tex]5^c.2^c\\\\= (5.2)^2\\\\=10^c[/tex]

Hence, the expression can not be simplified as it do not have same base, and can be written as [tex]10^c[/tex]

Learn more about expressions, click;

https://brainly.com/question/14083225

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Answer:

Your answer is:  [tex]2j^{2}(j-4)[/tex]

Factor [tex]2j^{2}[/tex]out of [tex]2j^{3} -8j^{2}[/tex]

Step-by-step explanation:

Hope this helped : )

Answer:

Today: Friday, 06 November 2020

Hour: 10.15 WIB (Indonesia)

_______________________________

so,

6c = 6 × 5 = 30

4b = 4 × (-3) = -12

Example:

4b - 6c

= 4(-3) - 6(5)

= -12 - 30

= - 42

4b + 6c

= 4(-3) + 6(5)

= -12 + 30

= 18

Answer:

The angle of CAD is 100°.

Step-by-step explanation:

Given that total angles in a triangle is 180° so you will have to find the angle of CAB :

∠CAB + ∠ACB + ∠ABC = 180°

∠CAB + 80° + 20° = 180°

∠CAB + 100° = 180°

∠CAB = 180° - 100°

∠CAB = 80°

Next, you have to subtract it from 180° because straight line have a degree of 180°

∠CAD = 180° - 80°

∠CAD = 100°

Answer:

$14.00 per pound for A and $12.50 per pound for B and B is offering the better one since it has a lower cost per pound

Step-by-step explanation:

Answer:

Brand A is $14

Brand B is $12.5

Brand B is offering the better value. I know this because when you get the unit rate for Brand A it is $14. When you get the unit rate for Brand B you get $12.5. So You pay less money for Brand B then Brand A.

Step-by-step explanation:

For brand A you need to first divide 70 by 5 which equals to 14

Then you divide 105 by 12 which equals 12.5

The Last problem i gave to you in the answer box.

Hopefully you understood everything.

Have a good day

Answer:

Step-by-step explanation:

Answer:

0.78 x 10^ 0

Step-by-step explanation:

Answer:  188 miles

Step-by-step explanation:

Answer:

y=2, angle c=55, line AB is 2, line BC, is 2 angle X is 35. also fun fact that test is messed up because X is the angle not Y so either you may want to tell someone about that.

Step-by-step explanation:

Answer:

It was sold at $32.40.

Step-by-step explanation:

hope this helpss :))

Answer:   [tex]\frac{x^8}{256y^{20}}[/tex]

If the font is too small, it says x^8 all over top 256y^20 as one big fraction.

========================================================

Work Shown:

[tex]\left(\frac{5x^3}{20xy^5}\right)^4\\\\\\\left(\frac{x^2}{4y^5}\right)^4\\\\\\\frac{\left(x^2\right)^4}{(4^1)^4\left(y^5\right)^4}\\\\\\\frac{x^{2*4}}{4^{1*4}y^{5*4}}\\\\\\\frac{x^{8}}{4^{4}y^{20}}\\\\\\\frac{x^{8}}{256y^{20}}\\\\\\[/tex]

Answer:

A

Step-by-step explanation:

4x - 2 and 3x + 6 are alternate angles and congruent, thus

4x - 2 = 3x + 6 ( subtract 3x from both sides )

x - 2 = 6 ( add 2 to both sides )

x = 8