Given that in isosceles △ABC , base BC¯¯¯¯¯, BE¯¯¯¯¯⊥AC¯¯¯¯¯, and CF¯¯¯¯¯⊥AB¯¯¯¯¯, which of the following proves that BE¯¯¯¯¯≅CF¯¯¯¯¯?

1. Isosc. △ABC, base BC¯¯¯¯¯ (Given)
2. AB¯¯¯¯¯≅BC¯¯¯¯¯ (Def. of Isosc. △)
3. BE¯¯¯¯¯⊥AC¯¯¯¯¯, CF¯¯¯¯¯⊥AB¯¯¯¯¯ (Given)
4. ∠BEA and ∠CFA are Supplementary Angles (Def. of ⊥)
5. AB¯¯¯¯¯≅BC¯¯¯¯¯ (Supp. ∠s ≅ Thm.)
6. ∠A≅∠A (Reflex. Prop. of≅)
7. △ABE≅△ACF (SAS Steps 1, 6, 5)
8. BE¯¯¯¯¯≅CF¯¯¯¯¯ (CPCTC)

1. Isosc. △ABC, base BC¯¯¯¯¯ (Given)
2. AB¯¯¯¯¯≅BC¯¯¯¯¯ (Def. of Isosc. △)
3. BE¯¯¯¯¯⊥AC¯¯¯¯¯, CF¯¯¯¯¯⊥AB¯¯¯¯¯ (Given)
4. ∠BEC and ∠CFB are Supplementary Angles (Def. of ⊥)
5. AC¯¯¯¯¯≅BC¯¯¯¯¯ (Supp. ∠s ≅ Thm.)
6. ∠A≅∠B (Sym. Prop. of≅)
7. △ABE≅△ACF (SAS Steps 1, 6, 5)
8. BE¯¯¯¯¯≅CF¯¯¯¯¯ (CPCTC)

1. Isosc. △ABC, base BC¯¯¯¯¯ (Given)
2. AB¯¯¯¯¯≅AC¯¯¯¯¯ (Def. of Isosc. △)
3. BE¯¯¯¯¯⊥AC¯¯¯¯¯, CF¯¯¯¯¯⊥AB¯¯¯¯¯ (Given)
4. m∠BEA=m∠CFA=90∘ (Def. of ⊥)
5. ∠BEA≅∠CFA (Rt. ∠s ≅ Thm.)
6. ∠A≅∠A (Reflex. Prop. of≅)
7. △ABE≅△ACF (AAS Steps 5, 6, 1)
8. BE¯¯¯¯¯≅CF¯¯¯¯¯ (CPCTC)

1. Isosc. △ABC, base BC¯¯¯¯¯ (Given)
2. AB¯¯¯¯¯≅AC¯¯¯¯¯ (Def. of Isosc. △)
3. BE¯¯¯¯¯⊥AC¯¯¯¯¯, CF¯¯¯¯¯⊥AB¯¯¯¯¯ (Given)
4. m∠BEC=m∠CFB=90∘ (Def. of ⊥)
5. ∠BEC≅∠CFB (Rt. ∠s ≅ Thm.)
6. ∠A≅∠B (Sym. Prop. of≅)
7. △ABE≅△ACF (AAS Steps 5, 6, 1)
8. BE¯¯¯¯¯≅CF¯¯¯¯¯ (CPCTC)

Answer:

He lost $12.

Step-by-step explanation:

Money Earned=$18

Money Spent=$30

Here, Money Spent is larger than Money Earned, which means that he lost money.

$30-$18

$12

He lost $12.

Answer:

he made money and lose money this week

Step-by-step explanation:

HOpe this helps

78

Step-by-step explanation

by adding all the number and divide by the number of number

Answer:

78

Step-by-step explanation:

add all and divide by 7

Answer:

24 yd^2

Step-by-step explanation:

6yd * 4yd = 24 yd^2

Answer:

I think it's (A). 5

I don't know

Answer:

5/8 > 1/2

Step-by-step explanation:

No need number line. Just use fraction walls

Answer:

put it in desmos.................

17.5mph

420÷24= 175

Hope this helped you- have a good day bro cya)

Answer:

17.5mph

Step-by-step explanation:

Answer:

2+3n

Step-by-step explanation:

9514 1404 393

Answer:

  the triangles are congruent

Step-by-step explanation:

The side marked congruent is between the angles marked congruent, so the triangles are congruent by the ASA congruence postulate.

Answer:

Equation of Parallel Line:  y = -7x - 44

Equation of Perpendicular Line:  y = x/7 - 8/7

Step-by-step explanation:

1) Parallel

Substitute (-6, -2) to find C

-2 = -7(-6) + c

-2 = 42 + c

-2 - 42 = c

c = -44

y = -7x -44

2) Perpendicular

Negative reciprocal

Substitute (-6, -2) to find C

-2 = 1/7(-6) + c

-2 = -6/7 + c

-2 + 6/7 = c

c = -8/7

y = 1/7x - 8/7 or

y = x/7 - 8/7

Answer:

Step-by-step explanation

just plug in 0 for z so it would change to -2<6

Answer:

You subtract because you're taking away money when you're withdrawing.

Answer:

Because withdrawal means taking out money from a total amount of money. That is we take away.

Answer:

https://www.letsanswers.com/a-compound-that-dissociates-dissolves-to-form-ions-weakly-is-exposed-to-an-electric-current-attached-to-a-light-bul/

Step-by-step explanation:

link for the information

Answer:

x = 35/9 or 3 8/9

Step-by-step explanation:

removing the fractions implies using the distributive property, which is multiplying each term outside the parentheses by each term inside

in this problem, after distributing 3/5 we get:

3/5x - 3 = -2/3

we want to isolate the 'x' so we undo subtraction first by adding 3 to each side to get:

3/5x = 9/3 - 2/3

3/5 x = 7/3

x = 7/3 × 5/3

x = 35/9

3/5x = 7/3

we can get the 'x' by itself if we multiply each side by the reciprocal of 3/5, which is 5/3 to get:

x = 7/3 × 5/3

x = 35/3

Answer:

INCREASING, DECREASING, DECREASING, INCREASING, INCREASING, DECREASING

STRONG, WEAK, WEAK, STRONG, STRONG, WEAK

Step-by-step explanation:

Answer:

No the lines are not perpendicular

Step-by-step explanation:

Slopes are not perpendicular reciprocals

Answer:

32/4

= 8

So 8 pounds for one acre

1/8 = 0.125 acres can be filled with one pound

Answer:

Step-by-step explanation:

C(x) = ax2 + bx + c

C(x) = x2  -19x + 50

8150 = x2  -19x + 50

x2  -19x + 50 = 8150

x2 -19x-8100 = 0

this is a quadratic equation, solved as

x = −b ± √(b2 − 4ac) 2a ·

or

x = −(-19) ± √((-19)x(-19) − 4(1) x(-8100))/2 ·

x= 19± √((-19)x(-19) − 4(1) x(-8100))/2

x = 100

Answer:

Your answer is 28

Answer:

The answer is 28

Step-by-step explanation:

Hope it helps

[tex]\large\underline{\sf{Solution-}}[/tex]

We need to solve,

[tex]\dfrac{\sqrt{112}-\sqrt{80}}{\sqrt{20}-\sqrt{28}}[/tex]

We can write the above mentioned expression as,

[tex]\sf\longmapsto\dfrac{\sqrt{2\times2\times2\times2\times7}-\sqrt{2\times2\times2\times5}}{\sqrt{2\times2\times5}-\sqrt{2\times2\times7}}[/tex]

So,

[tex]\sf\longmapsto\dfrac{\sqrt{4\times4\times7}-\sqrt{4\times4\times5}}{\sqrt{2^2\times5}-\sqrt{2^2\times7}}[/tex]

So,

[tex]\sf\longmapsto\dfrac{\sqrt{4^2\times7}-\sqrt{4^2\times5}}{\sqrt{2^2\times5}-\sqrt{2^2\times7}}[/tex]

Hence,

[tex]\sf\longmapsto\dfrac{4\sqrt{7}-4\sqrt{5}}{2\sqrt{5}-2\sqrt{7}}[/tex]

Taking common in respective terms,

[tex]\sf\longmapsto\dfrac{4(\sqrt{7}-\sqrt{5})}{2(\sqrt{5}-\sqrt{7})}[/tex]

On cancelling 4 with 2,

[tex]\sf\longmapsto\dfrac{4\!\!\!/^{\:2}(\sqrt{7}-\sqrt{5})}{2\!\!\!/(\sqrt{5}-\sqrt{7})}[/tex]

[tex]\sf\longmapsto\dfrac{2(\sqrt{7}-\sqrt{5})}{(\sqrt{5}-\sqrt{7})}[/tex]

Taking (-) common,

[tex]\sf\longmapsto\dfrac{-2(\sqrt{5}-\sqrt{7})}{(\sqrt{5}-\sqrt{7})}[/tex]

So, (√5 - √7) gets cut,

Hence,

[tex]\longmapsto\bf\dfrac{\sqrt{112}-\sqrt{80}}{\sqrt{20}-\sqrt{28}}=-2[/tex]

Answer:

Step-by-step explanation:

Andrew likes to solve puzzles.

       It took him 4.5 minutes to complete one puzzle with 18 numbers.

       It took him 6 minutes and 24 seconds to complete a different puzzle with 32 numbers.

a     For each puzzle work out how many seconds it took Andrew to complete one number.

b     Use your answer to part a to decide which puzzle Andrew completed faster.

Answer:

54 degrees and 126 degrees

Step-by-step explanation:

hope this helps i'm 9 but I have a 8th grade math knowledge.

Answer:

is 20

Step-by-step explanation:

hi the answer is .......

so what you have to do is that you have to add 3 to 3 =6 and then you have to add 7 to 7 = 14 then you have to add 14 to 6= 20 and this is going to be your answer

Answer:

X - ( - 4, 0)

Y - ( 0, - 8/3)

There it is my dear friend.

Answer:

[tex]-\frac{2}{3}[/tex]

Step-by-step explanation:

Sorry if i got it wrong...But let me know if it's right... if not I tried :(

Answer:

The Reconquista and the Inquisition are two very important events that happened in the middle ages. The Inquisition was when the Catholic church officials tortured Jews and Muslims to convert to Christianity. The Reconquista was when the people from Spain and Portugal united to take back their land from Muslims.

Answer:

x=65

Step-by-step explanation:

Answer:

-√2

Step-by-step explanation:

For the typing purpose I replaced θ with n in the calculation

[tex]\lim_{n \to \frac{\pi }{4}} \frac{cos n-sin n}{\frac{\pi }{4} } ...limits L'Hopital's Rule\\= \lim_{n \to \frac{\pi }{4}} \frac{-sin n-cos n}{1 } ... plug. in . \frac{\pi }{4} \\= - sin \frac{\pi }{4} - cos \frac{\pi }{4}\\= - \frac{\sqrt{2} }{2} - \frac{\sqrt{2} }{2}\\= \frac{- 2\sqrt{2}}{2} \\= - \sqrt{2}[/tex]