Prove triangle congruence.

Answer:

The numbers that are greater than - 2 qnd less than 3 are:

-1,0,1&2

[tex]\underline{\underline{\large\bf{Given:-}}}[/tex]

[tex]\red{\leadsto}\:[/tex][tex]\textsf{} [/tex][tex]\sf Endpoints \:of \: line \: segment \:are \:(-8,7) [/tex]

[tex]\sf and \:(6,4) [/tex]

[tex]\underline{\underline{\large\bf{To Find:-}}}[/tex]

[tex]\orange{\leadsto}\:[/tex][tex]\textsf{Length of the line} [/tex][tex]\sf [/tex]

[tex]\\[/tex]

[tex]\underline{\underline{\large\bf{Solution:-}}}\\[/tex]

>>Let us consider these points on a line segment AB such that point A and B lies on opposite ends

[tex] \\A( - 8,7) \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: B(6,4)\\ \bull \frac{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }{} \bull \\[/tex]

We will find distance between points by distance formula-

[tex]\red{\underline{\boxed{\sf{Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}}}}[/tex]

Here-

Putting Values:-

[tex]\begin{gathered}\\\longrightarrow\quad \sf AB = \sqrt{(6 - (-8)) ^{2} + (4-7) ^{2} } \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\longrightarrow\quad \sf \sqrt{(6+8)^2 + (-3)^2} \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\longrightarrow\quad \sf \sqrt{14^2+ (-3)^2 } \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\longrightarrow\quad \sf \sqrt{196+ 9 } \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\longrightarrow\quad \sf \sqrt{205} \\\end{gathered} [/tex]

[tex]\longrightarrow \sf length \:of \: the \: line \:segment \:whose \: \: [/tex]

[tex]\sf endpoints \;are \: (-8,7) \:and \:(6,4) \:is \: \sqrt{205} \;units [/tex]

Step-by-step explanation:

In the given figure,

Base(b)= 6cm

Height (h)= 8 cm

We know that,

[tex]area \: of \: a \: triangle \\ = \frac{1}{2} \times b \times h \\ = \frac{1}{2} \times 6 \times 8 \\ = \frac{48}{2} \\ = 24 \: cm ^{2} [/tex]

Hence, the are of the given figure is 24 cm².

Answer:

7.75 is the the correct answer

Answer:

HJ

Step-by-step explanation:

For a line to be perpendicular to another line, you must find the negative reciprocal.

The negative reciprocal of 1/2 is -2.

The only line with a slope of -2 is line HJ because it goes down 2 for every 1 to the right.

Answer:

line HJ on edge

Step-by-step explanation:

Answer:

what is the question?

Step-by-step explanation:

Answer: 25%

Step-by-step explanation:

As you can see 8/32 simplified would be 1/4 which would be 1/4 and 1/4 is equal to 25%!

Answer: 285.7L

Step-by-step explanation:

Tank initially had 500L of water.

On Monday a third leaked out, therefore:

Amount of water that leaked = 500L x 1/3 = 166.6667 = 166.7L

Remaining water after Monday leak = 500-166.7 = 333.3333 = 333.3L

On Tuesday a seventh of the remaining water (333.3L) leaked out, therefore:

Amount of water that leaked: (333.3333) x 1/7 = 47.6190 =47.6L

Water left after both leaks =500L - (166.6667 + 47.6190)L = 500L - 214.2857L = 285.7143L = 285.7L.

OR Water left = 333.3333L - 47.6190L = 285.7143L = 285.7L

The number of days for both Companies to have the same total amount is

6.4 days

Given Data

Company A

y = 57x+ 32 -----------------1

Company B

y = 62x + 0-----------------2

Equating 1 and 2 we have

57x+ 32 = 62x+ 0

Solving for x we have

62x-57x = 32

5x = 32

Divide both sides by 5

x = 32/5

x = 6.4 days

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Answer:

  c║d by Converse of Corresponding Angles postulate

Step-by-step explanation:

Line 'a' is not shown as having any relationship to anything. It can be removed from the picture, and all answer choices involving line 'a' can be ignored.

Line 'b' crosses two lines (c and d), so can be considered their transversal. The marked angles are not all between c and d, nor are they all outside of c and d, so they are neither "interior" nor "exterior." Eliminating the obviously incorrect choices leaves only c║d and the choice of the Corresponding Angles postulate or its Converse.

The Corresponding Angles postulate tells you that corresponding angles are congruent where a transversal crosses parallel lines. Its Converse tells you the lines are parallel if the corresponding angles are congruent. Here, we're given angles and asked about the lines being parallel. Clearly, the applicable postulate is ...

  c║d by Converse of Corresponding Angles Postulate

First 14% of 16$

[tex]\\ \rm{:}\dashrightarrow 0.14(16)=2.24[/tex]

New wage:-

Answer:

You started with 32.00

Step-by-step explanation:

47 minus 15 is 32

Answer:

(x - 2)² + (y - 2)² = 4

Step-by-step explanation:

The circle is tangent to both axes, so the radius = x = y

Center is on 2x + 3y = 0, so 2x + 3x = 1-

x = 2 = y

center: (2, 2)

radius = 2

equation: (x - 2)² + (y - 2)² = 2²

(x - 2)² + (y - 2)² = 4

[tex]\frac{1}{2}[/tex] of the water takes [tex]\frac{1}{2}[/tex] of the fuel and empty tank takes [tex]\frac{1}{6}[/tex] of the fuel, the

fraction that would will be spent if there was no leak is [tex]\underline{\dfrac{11}{18}}[/tex] of the fuel

The given parameters are;

The volume of oil consumed = [tex]\mathbf{\dfrac{1}{2}}[/tex] of the fuel tank

Volume consumed if the water tank was empty = [tex]\dfrac{1}{6}[/tex] of the fuel tank

Let w represent the weight of the water that fills the tank.

Therefore;

[tex]The \ average \ weight \ carried \ by \ oil = \dfrac{w + \dfrac{w}{2} }{2} = \mathbf{\dfrac{3 \cdot w}{4}}[/tex]

The amount of fuel consumed by the water that leaked = [tex]\dfrac{1}{2} - \dfrac{1}{6} = \dfrac{1}{3}[/tex]

Let x represent the amount of oil used to carry only the water if there

was no leak, therefore;

[tex]\mathbf{\dfrac{\frac{3 \cdot w}{4} }{w} }= \dfrac{\frac{1}{3} }{x}[/tex]

Which gives;

[tex]\mathbf{\dfrac{3 \cdot w}{4} \times x}} = \dfrac{1}{3} \times w }[/tex]

[tex]x = \dfrac{4}{3 \times 3} = \dfrac{4}{9}[/tex]

The total amount of fuel that will be consumed without leakage is

therefore;

[tex]Total \ amount \ of \ fuel = \dfrac{4}{9} + \dfrac{1}{6} = \mathbf{ \dfrac{11}{18}}[/tex]

The amount of oil consumed if there was no leakage is therefore;

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Answer:

this expression is true for all values of a.

Step-by-step explanation:

So if the expression is:

a - 5 = 5 - a

For this reason:

2a = 10

a = 5

a - 5 = -5 + a

0 = 0

The distance from building A to building C is 433m

Therefore,

sin 60° = opposite / hypotenuse

sin 60° = b / 500

cross multiply

b = 500 sin 60°

b = 500 × 0.86602540378

b = 433.0127

b = 433 meters

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Answer:

The total number of 3-digit numbers that can be formed = 2 × 2 × 2 = 8

1. 444

2. 445

3. 454

4. 455

5. 544

6. 545

7. 554

8. 555

Sum of all these numbers: 3,996

Answer is on the picture

Answer:

Step-by-step explanation:

Answer:

$41 cents

Step-by-step explanation:

$8 divided by $3.35 equals $0.41 cents

Answer:

0.18km

Step-by-step explanation:

Lateral Surface Area = 2πrh

= 2 × 22 × 21 × 75

7

= 9900m^2

Area taken by revolution = 9900 × 800

= 7920000m^2

= 7.92 km^2

breadth = 7.92km^2 ÷ 44

= 0.18km

Answer:

x = 8

each side is 74

Step-by-step explanation:

set two sides equal to each other

see image

Answer:

Percentage of Money Zack receives =

[tex]\bold{\frac{the \:share \:he\: gets \:in\: ratio \:form}{Total \:share \:in\: ratio \:form} \times 100}\\[/tex]

[tex] \bold{\frac{9}{11 + 9} \times 100} \\ \\\bold{ ⇢ \frac{9}{\cancel{20}} \times\cancel{ 100} }\\ \\ \bold\blue{ ⇢ 45\%}[/tex]

hope helpful~

Answer:

c. The solution to a system of equations is the point or points where they intersect

A) If the current market interest rate is 6.5%, you should not buy the bond because the present value of the bond is $905.97, which is less than the current price of $940.

B) Assuming you buy and hold this bond for 5 years, the price you must sell the bond to earn a 7% rate of return on this investment is $938.50.

The price of a bond can be determined by calculating the present value of the cash flows till maturity through discounting.

The present value can be computed using the present value formula or table.  It can also be determined using an online finance calculator as follows:

a. If the current market interest rate is 6.5%. Should you buy the bond? Why or why not?

N (# of periods) = 15 years

I/Y (Interest per year) = 6.5%

Coupon interest rate = 5.5%

PMT (Periodic Payment) = $55

FV (Future Value) = $1,000

Results:

PV = $905.97

Sum of all periodic payments = $825 ($55 x 15)

Total Interest = $919.03

b. Assuming you buy and hold this bond for 5 years. What price must you sell the bond for if you want to earn a 7% rate of return on this investment?

N (# of periods) = 5 years

I/Y (Desired Interest per year) = 7%

Coupon interest rate = 5.5%

PMT (Periodic Payment) = $55

FV (Future Value) = $1,000

Results:

PV = $938.50

Sum of all periodic payments = $275 ($55 x 5)

Total Interest = $336.50

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Answer:

3/4 is 45 min, cause a quarter of an hour is 15 min. 6-9=-3 so you basically do Noon subtracted by another 3 hours which is 9am , then subtract those 45 min.

6pm - 6hours = 12pm

(Noon) 12 pm - 3 hours =9 am, then 45 min

9am - 45 min

8:15 am

Answer:

49 ft.

Step-by-step explanation:

Since the figure is a rectangle, the length of the top of the figure is the same as that of the bottom. Thus, we can form an equation which we can later use to find the value of x.

4x +3= 16

Minus 3 on both sides:

4x= 16 -3

4x= 13

Divide by 4 on both sides:

x= 13 ÷4

x= 3.25

Breadth of rectangle

= 2x +2

= 2(3.25) +2

= 6.5 +2

= 8.5

Perimeter of rectangle

= 2(length +breadth)

= 2(16 +8.5)

= 2(24.5)

= 49 ft.

Answer:

Step-by-step explanation:

Remark

A good thing to understand is that when a whole number and a fraction are multiplied, the method is the same as multiplying 2 fractions. What that means is make the whole number into the numerator of a fraction and put a 1 where the denominator should be.

Solution

4/1 * 2/3 = 4*2 / 1 * 3 = 8/3

Answer:

(B) 0.9688

Step-by-step explanation:

mark me brainliest!!

Answer:a minimum of 15 weeks to about 30 weeks.

Step-by-step explanation: