What is the congruence theorem used to prove that the two triangles are congruent?

Answer:

Step-by-step explanation:

j+28.6=43

-28.6    -28.6

_________________

j=14.4

Hope this helps :>

it's false

I guess

have a nice day

Answer:

yeah same its just nice to have the person's presence their

Answer:

It decreased by $14,840 and the current value is $197,160

Answer:

The length of [tex]\overline {FH}[/tex] is;

D. 38 units

Step-by-step explanation:

The given parameters are;

The type of the given quadrilateral FGHI = Rectangle

The diagonals of the quadrilateral = [tex]\overline {FH}[/tex] and [tex]\overline {GI}[/tex]

The length of IE = 3·x + 4

The length of EG = 5·x - 6

We have from segment addition postulate, [tex]\overline {GI}[/tex] = IE + EG

The properties of a rectangle includes;

1) Each diagonal bisects the other diagonal into two

Therefore,  [tex]\overline {FH}[/tex] bisects [tex]\overline {GI}[/tex], into two equal parts, from which we have;

IE = EG

[tex]\overline {GI}[/tex] = IE + EG

3·x + 4 = 5·x - 6

4 + 6 = 5·x - 3·x = 2·x

10 = 2·x

∴ x = 10/2 = 5

From which we have;

IE = 3·x + 4 = 3 × 5 + 4 = 19 units

EG = 5·x - 6 = 5 × 5 - 6 = 19 units

[tex]\overline {GI}[/tex] = IE + EG = 19 + 19 = 38 units

[tex]\overline {GI}[/tex] = 38 units

2) The lengths of the two diagonals are equal. Therefore, the length of segment [tex]\overline {FH}[/tex] is equal to the length of segment [tex]\overline {GI}[/tex]

Mathematically, we have;

[tex]\overline {FH}[/tex] = [tex]\overline {GI}[/tex] = 38 units

∴ [tex]\overline {FH}[/tex] = 38 units.

Answer:

It is option 4.

Step-by-step explanation:

Key skills needed to solve this problem: Combining like terms and simplifying

1) We have to combine like terms and simplify to the maximum

Therefore, it is option 4.

Hope you understood! Have a nice day!! :D

Answer:

Answer:

Tens

PART B: 18

PART C: 24

Step-by-step explanation:

Answer:

The function intercepts the x and y axis in the same spot, namely (0,0)

Answer: See explanation

Step-by-step explanation:

m∠A and m∠O are alternate interior angles so they're congruent.

m∠A = m∠O

m∠A = 65°

AM and SO are congruent sides

AM = SO

AM = 86

m∠S and m∠M are alternate interior angles so they're congruent.

m∠S = m∠M

m∠S = 60°

ON and NA are congruent sides.

ON = NA

ON = 75

m∡SNO, m∠S, and m∠O form a triangle so they should add up to 180°

m∡SNO + m∠S + m∠O = 180°

m∡SNO + 60 + 65 = 180

m∡SNO + 125 = 180

Subtract both sides by 125

m∡SNO = 55°

Hope that helped!

Answer:45 games

Step-by-step explanation: 1+1 is 2 so yeah

Answer:

I think its 45 games

Step-by-step explanation:

75% times 60 = 45

*My school in middle school was rushed about math when we learned percent. Like the teachers were talking so fast, sorry if I'm wrong. <--- reason if I'm wrong.

Answer:

Option 2

Step-by-step explanation:

Answer:

y=1/2x+2

Step-by-step explanation:

2=x 3=y slope=1/2

y=mx+b

3=1/2(2)+b

3=1+b

3-1=b

2=b

9514 1404 393

Answer:

  (1)  $150 million

  (2)  $276.14

Step-by-step explanation:

(1) The ratio 5 : 2 : 6 to shareholders : bonuses : development tells us that the fraction of profits to shareholders is ...

  5/(5+2+6) = 5/13

The dollar amount to shareholders is then ...

  (5/13)($390 million) = $150 million

__

(2) We have ...

  $285.25 = (1 +3.3%) × (May price)

  May price = $285.25/1.033 = $276.14

Answer:

19

Step-by-step explanation:

Answer:

can anyone help me with this problem plzzz

Step-by-step explanation:

Answer:

x=-6,12

Step-by-step explanation:

Answer:

3,-2

Step-by-step explanation:

9514 1404 393

Answer:

  ∠A = 66.2°

Step-by-step explanation:

The sum of exterior angles of any polygon is 360°, so you have ...

  (3x +10)° +(5x)° +(2x +4)° = 360°

  10x +14 = 360 . . . . . . . . . . . . . . .collect terms, divide by °

  x + 1.4 = 36 . . . . . . . . . divide by 10

  x = 34.6

The interior angle at A is the supplement of the exterior angle there:

  ∠A = 180° -(3x +10)° = 180° -(3(34.6) +10)°

  ∠A = 66.2°

Answer:

b = -1

Step-by-step explanation:

-8b + 4 + 20b = -6b - 14

12b + 4 = -6b - 14

18b + 4 = -14

18b = -18

b = -1

Answer:

x=18

Step-by-step explanation:

Key skills needed: Arithmetic Sequences, Addition

1) We have a sequence of 8,13,x

2) To find the number being added every time, we do 13-8. This is 5.

3) This means x would be 13+5

4) 13+5 is 18 so x is 18.

Hope you understood and have a nice day!! :D

Step-by-step explanation:

Let x be the height of the screen.

Using Pythagoras' Theorem,

we have x² + 16² = 24².

Therefore x² = 24² - 16² = 320,

x = √320 = 8√5 in.

The height of the screen is 8√5 inches.

Answer:

Acute and Obtuse..I cant see any right

Step-by-step explanation:

Answer:

D) Acute and Obtuse angles

Step-by-step explanation:

The pink quadrilateral has obtuse angles and I believe it has 2 acute angles.

The orange one has 2 acute and 2 obtuse angles

And the green one has both acute and obtuse angles.

Answer:

24 children

Step-by-step explanation:

If the length of time, y hours, it takes to put a jigsaw puzzle together is inversely proportional to the number of children, x, this is represented as;

[tex]y \alpha \frac{1}{x}\\y =\frac{k}{x}[/tex]

k is the constant of proportionality

If it takes 16 children 6 hours to put the jigsaw puzzle together, this means at x = 16, y = 6

Substitute:

6 = k/16

k = 6*16

k = 96

W are to find number of children needed to put the same jigsaw puzzle together in 4 hours, this is done by substituting k = 96 and y = 4 into the expression y = k/x

y = 96/4

y = 24

Hence it will take 24 children to put the same jigsaw puzzle together in 4 hours

Answer:

450

Step-by-step explanation:

790 × 150 = 13500

GCF = 30

13500/30 = 450

Given that,

velocity, v = 7.8 ft/s

Radius, r = 1.25 ft

To find,

a. What is the acceleration of the bucket?

b. What is the velocity if the acceleration is 25 ft/sec²?

Solution,

(a) The centripetal acceleration is given by :

[tex]a=\dfrac{v^2}{r}[/tex]

Put v = 7.8 ft/s and r = 1.25 ft

[tex]a=\dfrac{(7.8)^2}{1.25}\\\\=48.672\ ft/s^2[/tex]

(b) Put a = 25 ft/s² to find velocity.

[tex]v=\sqrt{ar} \\\\v=\sqrt{25\times 1.25} \\\\v=5.59\ ft/s[/tex]

Hence, this is the required solution.

Answer:

26

Step-by-step explanation:

1 batch is 1/4 cups of cranberries.

This means that we have to find the number of groups of 1/4 in  6 1/2 cups to find the number of batches.

(The decimal forms of these numbers are 6.5 and 0.25)

6.5/0.25=26

There are 26 batches

Answer:

y>2

Step-by-step explanation:

-3y-12<-6

-3y<6

y>2

I hope this answer helped, and if it was correct, please mark this as brainliest! Thank you!

Answer:

y>-2

Step-by-step explanation:

-3y-12<-6 (move the constant to the right)

-3y<-6+12 (calculate)

-3y<6 (divide both sides)

solution: y>-2

hope this helps!

Answer:

3 * z

Step-by-step explanation:

3 * z

if u multiply them, u get 3z

is that what u meant? or are there options to choose from, or did u forget to add something else?

Answer:

We conclude that only the equation y = 3x-11 is not an equation of the line that passes through the points.

Hence, option B is correct.

Step-by-step explanation:

Given the points

Finding the slope between (2, -1) and (4, 5)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(2,\:-1\right),\:\left(x_2,\:y_2\right)=\left(4,\:5\right)[/tex]

[tex]m=\frac{5-\left(-1\right)}{4-2}[/tex]

[tex]m=3[/tex]

Using the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where m is the slope of the line and (x₁, y₁) is the point

substituting the values m = 3 and the point (2, -1)

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-2=3\left(x-\left(-1\right)\right)[/tex]

[tex]y-2=3\left(x+1\right)[/tex]

Add 2 to both sides

[tex]y-2+2=3\left(x+1\right)+2[/tex]

[tex]y=3x+5[/tex]

So, y = 3x+5 is one of the equation lines.

We can also check by substituting the values m = 3 and the point (4, 5)

[tex]y-y_1=m\left(x-x_1\right)[/tex]

y - 5 = 3(x-4)

So, y - 5 = 3(x-4) is also one of the equation lines.

Now, let say take the point (4, 5) an substitute in y = 3x-11

y = 3x-11

put x = 4 and y = 5

5 = 3(4)-11

5 = 12-11

5  = 1

FALSE!

Hence, the equation y = 3x-11 does not pass through (4, 5). Thus, the equation y = 3x-11 is not an equation of the line that passes through the points.

Now, let say take the point (4, 5) an substitute in y+1 = 3(x-2)

y+1 = 3(x-2)

put x = 4 and y = 5

5+1 = 3(4-2)

6 = 3(2)

6 = 6

TRUE!

Now, let say take the point (2, -1) an substitute in y+1 = 3(x-2)

-1+1 = 3(2-2)

0 = 0

TRUE!

Thus, the equation y+1 = 3(x-2) is an equation of the line that passes through the points.

Now, let say take the point (2, -1) an substitute in y = 3x-7

y = 3x-7

put x = 2 and y = -1

-1 = 3(2) - 7

-1 = 6-7

-1 = -1

TRUE!

Now, let say take the point (4, 5) an substitute in y = 3x-7

y = 3x-7

put x = 4 and y = 5

5 = 3(4)-7

5 =  12-7

5 = 5

TRUE!

Thus, the equation y = 3x-7 is an equation of the line that passes through the points.

Conclusion:

We conclude that only the equation y = 3x-11 is not an equation of the line that passes through the points.

Hence, option B is correct.

Answer:b

Step-by-step explanation:

Given that,

An equation : [tex]x^2 + 13x + 30 = 0[/tex]

To find,

The value of x.

Solution,

We have, [tex]x^2 + 13x + 30 = 0[/tex]

We can solve it as follows :

[tex]x^2 + 10x +3x+ 30 = 0\\\\x(x+10)+3(x+10)=0\\\\(x+3)(x+10)=0\\\\(x+3)=0\ \text{and}\ (x+10)=0\\\\x=-3\ \text{and}\ x=-10[/tex]

So, the solution of the given equations are -3 and -10.