Determine if the two triangles are congruent. If they are state the condition

Answer:

Raul made 8 servings of fruit salad

Step-by-step explanation:

Here, we want to get the number of servings made by Raul

From the question;

1 serving = 1/2 cup

x servings = 4 cups

Thus;

4 * 1 = x * 1/2

x = 4/(1/2)

x = 8 servings

Answer:

multiply 3x by x then multiply 8 by 6 and get 48. since 8 and 6 are products of 48 they give a sum of 14 therefore your trinomial is

3x²+14x+48

Answer:

9ft by 14ft

Step-by-step explanation:

Area:

9 x 14 = 126

Perimeter:

9 + 9 + 14 + 14 = 46

Answer:

See Explanation

Step-by-step explanation:

Let us assume that [tex] \sqrt 3 - \sqrt 5[/tex] is a rational number.

So, it can be expressed in the form of [tex] \frac{p}{q} [/tex] where p and q are integers.

[tex]\therefore \sqrt 3 - \sqrt 5=\frac{p}{q}[/tex]

[tex]\therefore \sqrt 3 =\frac{p}{q}+ \sqrt 5[/tex]

[tex]\therefore \sqrt 3 =\frac{p+q\sqrt 5}{q}[/tex]

Squaring both sides:

[tex] (\sqrt 3) ^2 =\bigg(\frac{p+q\sqrt 5}{q}\bigg ) ^2 [/tex]

[tex]\therefore 3 =\frac{p^2 +5q^2 +2\sqrt 5 pq}{q^2 } [/tex]

[tex]\therefore 3q^2 ={p^2 +5q^2 +2\sqrt 5 pq}[/tex]

[tex]\therefore 0 = p^2 +5q^2 -3q^2 +2\sqrt 5 pq [/tex]

[tex]\therefore - 2\sqrt 5 pq=p^2 +2q^2 [/tex]

[tex]\therefore \sqrt 5 = \bigg (\frac{p^2 +2q^2}{-2pq} \bigg) [/tex]

[tex]\therefore \sqrt 5 = - \bigg(\frac{p^2 +2q^2}{2pq} \bigg) [/tex]

Since, p and q are integers so [tex] - \bigg(\frac{p^2 +2q^2}{2pq} \bigg) [/tex] is rational.

[tex]\therefore \sqrt 5 [/tex] is also rational.

But it contradicts the fact that [tex]\sqrt 5 [/tex] is irrational.

Hence, our assumption that [tex] \sqrt 3 - \sqrt 5[/tex] is rational is wrong.

[tex] \therefore \sqrt 3 - \sqrt 5[/tex] is irrational.

Step-by-step explanation:

Sum of opposite angles are supplementary,

x + 60 + 3x = 180

4x + 60 = 180

4x = 180 - 60

4x = 120

x = 120 / 4

x = 30

Answer:

no solution

Step-by-step explanation:

-3+2h=2h

-3=2h-2h

-3=0

Answer:

This equation has no solutions

Step-by-step explanation:

Answer:

12x = 17

Step-by-step explanation:

So, this is a standard variable equation, so a number (I did x because I'm basic) times, multiplied by, whatever 12 = 72

So a number times 12 is 72 = 12x = 17

Now, if you wanted to actually solve this equation, you just have to do inverse operations:

17 ÷ 12 = 1.4167 (rounded)

So x = 1.4167

hope this helps:)

Answer:

x = 140°

Step-by-step explanation:

x is a supplementary angle to 40°. This means that when added together equals 180°

x = 180° - 40° = 140°

Answer:

Step-by-step explanation:

Since I can't see slide 2   I don't know what pattern they want you to see, but, I do know that  when you have a line with an angle... the other side , here that is the 'X'   will always be  180 - 40 =  X      

X is easy to solve that way. it's , ofc 140  :D  

Answer:

A) Perimeter: 210

   Area: 2,516

B) Area

C) Perimeter

Hope this helps ya :3

Answer:

-20x^2 + 56x - 15

Step-by-step explanation:

3x(−2+7)−5(x−1)(4x−3)

Add −2 and 7 to get 5.

3x×5−5(x−1)(4x−3)

Multiply 3 and 5 to get 15.

15x−5(x−1)(4x−3)

Use the distributive property to multiply −5 by x−1.

15x+(−5x+5)(4x−3)

Apply the distributive property by multiplying each term of −5x+5 by each term of 4x−3.

15x−20x^2+15x+20x−15

Combine 15x and 20x to get 35x.

15x−20x^2+35x−15

Combine 15x and 35x to get 50x.

50x−20x^2−15

Swap terms.

-20x^2 + 56x - 15

Answer:

rfgvsdgsgvbd fs e gbaebg g

Step-by-step explanation:

Answer:

25/4 or 6.25

Step-by-step explanation:

Given that the general equation of  a quadratic equation is given as ax^2 + bx + c = 0, to complete the square, we subtract c from both sides of the equation and add the square of (b/2a) to both sides.Hence given x^2-5x-19=0, to complete the square, we add (-5/2)^2 to both sides following the illustration given.This is 25/4 or 6.24

15.40 becauwe 6 makes 9to 0 and it makes 3 to 4

Answer:

hey, what is your question?

Step-by-step explanation:

Answer:

wheres the question

Step-by-step explanation:

Answer:

I believe, its D.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

It's G bc of the full dot and the line going up.

Alright, so we know that there are 7 days a week with 24 hours per day.

24x7= 168 hours a week.

Convert the problem to an equation using the percentage formula: P% * X = Y.

Let's take the 40% that is Sleep and use it in the percentage formula with the 168 hours.

40%x168= roughly 67 hours.

Hope this helped!

Answer:

whats the question?

Step-by-step explanation:

Answer:

Angle 7 = 56 °

Step-by-step explanation:

Angles 8 and 7 = 180 degrees

To get the degree of angle 7 subtract 124 from 180

180 - 124 = 56 degrees

Angle 7 = 56 degrees

Answer:

9.4

Step-by-step explanation:

Answer:

21b-32+7b-20b​

7b-32

Step-by-step explanation:

Answer:

−3430000

Step-by-step explanation:

Mark as brainllest

Answer: 13

Step-by-step explanation:

-6 + 7k = -7(1 - k)

(-7 x -1 = 7)

(-7 x -k = 7)

-6 +7k = 7+7k

7k-7k = 6+7

k = 13

( 0 always equals to the pronumeral given

Step-by-step explanation:

It's a question of trigonometry.

You need to remember that tangent (tan) stands for Perpendicular / Base.

So, tan P = QR / PR

By Pythagoras Theorem,

34² = 30² + x²

x² = 34² - 30²

x² = 1156 - 900

x² = 256

x = 16

Now, placing the values,

tan P = 30 / 16

tan P = 1.875

HOPE IT HELPS ^_^

Answer:

x=35

Step-by-step explanation:

3x+3=108

3x=108-3

3x= 105

x= 105/3

x=35

Answer:

x = -14

(っ◔◡◔)っ ♥ Hope It Helps ♥

Answer:

-14

Step-by-step explanation:

-1/2x - 3 = 4

-1/2x = 4 + 3

x = 7 * -2

x = -14

Answer:

Mean=19.5

Step-by-step explanation:

Mean= (16x1 + 17x4 + 19x4 + 21x1 + 22x2 + 23x1 + 25x1)/14=273/14=19.5