Find the GCF of 74 and 154.

Answer:

Step-by-step explanation:

Notice that, the angle QRS is external to the triangle and adjacent to the angle PRQ. According to the theorem of a external/adjacent angle, we have: m∠QRS = m∠PQR + m∠RPQ, where PQR and RPQ are internal angles.

From the hypothesis, we have:

m∠QRS =(10x−12)∘(10x−12)

m∠PQR = (3x+20)∘(3x+20)

m∠RPQ=(3x−8)∘(3x−8)

Using the first equation and replacing the hypothesis:

m∠QRS = m∠PQR + m∠RPQ

(10x−12)∘(10x−12) = (3x+20)∘(3x+20) + (3x−8)∘(3x−8)

Multiplying and applying the remarkable identity:

Then, we use a calculator to find the roots, which are:

In this case, we will see what root is the right one.

Now, we replace it into m∠QRS =(10x−12)∘(10x−12), because we need to find m∠QRS.

m∠QRS =(10x−12)∘(10x−12) = (10(4.7) - 12) (10(4.7) - 12) = (35) (35) = 1225

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

if you are doing deltamath

Answer:

zero slope

Step-by-step explanation:

its not goin up or down so there is no slope:)

also look below :)

Answer:

B

Step-by-step explanation:

18. ∆PQR =~ ∆RPA ( by SAS )

19. ∆DQR =~ ∆PQR ( by AAS )

20. ∆ARO =~ ∆PQO ( by AAS )

Answer:

140 - 9 (12) + 3

140 - 108 +3

140 - 111

= 29

Answer:

A

Step-by-step explanation:

3x × 4 =12x

Mark me brainliest pls

and thank me

Answer:

I think it is A

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:

t = 7 or t = -1

Step-by-step explanation:

You can use a calculator or:

t² - 6t = 7

-> t² - 6t -7 = 0

-> t² - 7t + t - 7 = 0

-> t(t-7) + (t-7) = 0

-> (t-7) . (t+1) = 0

-> t = 7 or t = -1

Answer:

T = 7

Step-by-step explanation:

How you find T is by multiplying different numbers and squaring them by subtracting until you get to the number that equals to 7

Answer:

15 nickels, 6 quarters, and 12 dimes.

Step-by-step explanation: i hoped it helped ;)

Given:

Polynomial = P(x) = 3x² + kx + 6

Factor of the ablove polynomial = (x+3)

To Find:

Value of K, for which (x+3) become the factor of P(x) = 3x² + kx + 6

Solution :

Now,

x + 3 = 0

⇒x = (-3)

So,

As (x+3) is a factor so x = (-3) is one root of the polynomial.

Therefore,

P(-3) = 0

→ P(-3) = 3(-3)² + k(-3) + 6 = 0

→ 3(9) - 3k + 6 = 0

→ 27 - 3k + 6 = 0

→ 27 + 6 - 3k = 0

→ 33 - 3k = 0

→ - 3k = -33

→ k = -33 ÷ -3

→ k = 11

3x²+ kx + 6, by putting the value of k = 11 and taking -3 as root the remainder should be zero

→ 3x²+ 11x + 6

→ 3(-3)² + 11(-3) + 6

→ 3(9) - 33 + 6

→ 27 - 33 + 6

→ 27 + 6 - 33

→ 33 - 33

→ 0

Hence verified !

Answer:

they have two congruent angles or AA

Step-by-step explanation:

Answer:

they have two congruent angles or AA

Step-by-step explanation:

Answer:

54 km/h

Step-by-step explanation:

Step one:

given data

We are required to perform unit from m/s km/h

from 15m/s to km/h

Step two:

1 meter= 1/1000 km,

1 seconds= 1/3600 hour

1m/s = 1/1000/1/3600= km/h= 3600/1000= 36/10= 18/5 km/h

so of 1m/s is equivalent to 18/5 km/h

then 15m/s is equivalent to x

cross multiply

x= 15*18/5

x= 3*18

x=54 km/h

Answer:For every right triangle, the circumcenter is always the midpoint of the hypotenuse. All four points of concurrency can themselves be concurrent! Only with an equilateral triangle will the centroid, circumcenter, incenter and orthocenter always be the same point!

Step-by-step explanation:

X^2+10x+25 =8

Answer shown in figures below

Answer:

d

Step-by-step explanation:

that's the argument that they are making

Answer:

b

Step-by-step explanation:

Answer:

5 inches

Step-by-step explanation:

[tex]\frac{1}{3} =\frac{x}{15}\\3x=15\\x=5[/tex]

Answer:

Alandra can fill 60 whole cones

Step-by-step explanation:

The volume of a rectangular prism is V = L × W × H, where

The volume of the cone is V = [tex]\frac{1}{3}[/tex] π r² h, where

∵ Alandra's rectangular cake pan is 33 cm by 23 cm

∴ L = 33 cm and W = 23 cm

∵ She has enough cake batter to fill it to a depth of 3 cm.

∴ H = 3 cm

→ Find the volume of the batter using the 1st rule above

∵ V = 33 × 23 × 3

∴ V = 2277 cm³

∵ Alandra wants to pour the batter into ice cream cones

∵ She plans to fill each cone to a depth of 9 cm with a diameter of 4 cm

∴ h = 9 cm

∵ r = [tex]\frac{1}{2}[/tex] diameter = [tex]\frac{1}{2}[/tex] (4)

∴ r = 2 cm

→ Substitute them in the 2nd rule above to find the volume of each cone

∵ V = [tex]\frac{1}{3}[/tex] (π) (2)² (9)

∴ V = 12π cm³

→ To find the number of cones divide the volume of the batter by

   the volume of each cone

∵ Number of cones = 2277 ÷ 12π

∴ Number of cones = 60.3993

→ We will take the whole number only because we need the whole cones

∴ Alandra can fill 60 whole cones

Answer:

The sum of the interior angles would be 360 because every quadrilateral has the interior angles equaling 360

Step-by-step explanation:

Answer:

2754

Step-by-step explanation:

Answer:

9 Hours

Step-by-step explanation:

162 X 12 / 216 = 9 Hours

Answer:

Step-by-step explanation:

12x^2y / 4xy = 3x

So 4xy is the highest common factor.

Answer:

4x2y

Step-by-step explanation:

4xy = 4x4y

12x ÷ 4 = 3x

2y ÷ 2 = 1y

Hope this helps !

Merry Christmas

Answer:

22 dimes, 8 Nickels

Step-by-step explanation:

Answer:

1) 25%

2) 555.56

3) 10%

4) 700

Step-by-step explanation:

1) 35 is what percent of 140

This is calculated as:

35/140 × 100

= 25%

2) 250 is 45% of what number?

Let the number be represented as x

This is calculated as:

45% of x = 250

45/100 × x = 250

45x /100 = 250

Cross Multiply

45x = 250 × 100

x = 25000/45

x = 555.55555556

x = 555.56

3) 74 is what percent of 740?

Let the percentage be represented by x

x% × 740 = 74

Divide both side by 740

x% = 74/740

x% = 0.1

Converting to percentage

0.1 × 100 = 10%

4) 350 is 50% of what number?

Let the number the represented by x

This is calculated as:

50% of x = 350

50/100 × x = 350

50x /100 = 350

Cross Multiply

50x = 350 × 100

x = 35000/50

x = 700

x = 555.56

Answer:

r = 8

Step-by-step explanation:

The circumference of a circle is given by :

[tex]C=2\pi r[/tex] ...(1)

We need to find the value of r when C = 16π

Solving equation (1)

[tex]r=\dfrac{C}{2\pi}\\\\r=\dfrac{16\pi}{2\pi}\\\\r=8[/tex]

So, the value of r is 8. Hence, the correct option is (b).

[tex]-\frac{1}{5}[/tex] ÷ 20 = - 100

or -0.01

there are two answers you can come up with choose wisely

Answer:

x=2

Step-by-step explanation:

Answer:

Hi friend,

Let 3+2√3 is a rational number.

A rational number can be written in the form of p/q.

3+2√3=p/q

√3=p/2q-3

√3=p-6q/2q

p,q are integers then (p-6q)/2q is a rational number.

But this contradicts the fact that √3 is an irrational number.

So,our statement supposed is false.

Therefore,3+2√3 is an irrational number.

Step-by-step explanation:

Answer:

in the explanation

Step-by-step explanation:

The sqrt of 3 is irrational. Any rational number multiplied or divided with an irrational number is also irrational (2 root 3). It's the same for addition and subtraction, any rational number added or subtracted from an irrational number is also irrational (2 + root 2).

Hope this helps!

Please see the image attached for the solution.

Answer - $55.03 .

12.70 divided by 3 = 4.23 x 13 = 55.03 .