the triangle and the trapezoid have the same base area. Base b2 is twice the area the length of b1. What are the lengths of the bases of the trapezoid? ​

Answer:

The equivalent expression is: [tex]-5a^2 + 4ab + 116[/tex]

Step-by-step explanation:

An equivalent expression to the one given can be found removing first from the parenthesis, and then combining the like terms. So

[tex](-4a^2 - 36) + (-2ab - a^2 + 2) + (-82 + 6ab)[/tex]

Removing from the parenthesis

[tex]-4a^2 - 36 - 2ab - a^2 + 2 - 82 + 6ab[/tex]

Combining the like terms:

[tex]-4a^2 - a^2 - 2ab + 6ab - 36 + 2 - 82[/tex]

[tex]-5a^2 + 4ab + 116[/tex]

The equivalent expression is: [tex]-5a^2 + 4ab + 116[/tex]

Answer:

120°

Step-by-step explanation:

if you look at the points fda and eaf you add the two together

so you add 30° and 90°

hope this helped

Answer:8

Step-by-step explanation:

6 is 120

7 = 150

8= 180

Answer:

3 more guests

Step-by-step explanation:

You just to have to add 120 plus 30 until you reach 200.

120+30=150

150+30=180

180+NO it is going to be too much.30=210

Then if you see I did 180+30 it gave me more than 200 but they only have the budget of 200. So you will have $10 extra. ANd then you can only invite 3 more guest.

Answer:

The answer is x = 20

Step-by-step explanation:

If you set both equations equal to each other and solve for x, you will get 20.

3x+32 = 5x-8        add 8 to both sides

3x+40 = 5x           subtract 3x from both sides

40 = 2x                 divide by 2 on both sides

20 = x

Answer:

-30

Step-by-step explanation:

Answer: 4 out of 13

Step-by-step explanation:

Total letters in "MASSACHUSSETT " = 13

Number of S = 4

Probability of an event = [tex]\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]

The probability of selecting the  letter S = [tex]\dfrac4{13}[/tex]  [already in lowest term as gcd(4,13)=1]

Hence, the probability of selecting the  letter S = 4 out of 13.

Answer:

0.46 pounds of honey

Step-by-step explanation:

0.58 - 0.12 = 0.46

thanks fr the points

Answer:

18

Step-by-step explanation:

-6 × (-3)

negative× negative= positive

so 18.

[tex]\Large\boxed{\tt Answer:~2(5a+3b+3c)}[/tex]

[tex]\tt Step-by-step~explanation:[/tex]

You cannot simplify this expression, but instead, you can factor it like this:

Find the Greatest Common Factor (GCF) of the three numbers.

[tex]\tt 10 \div 5=2\\6 \div 3 = 2\\6 \div 3 = 2\\GCF=2[/tex]

Since the GCF is 2, we can factor 10, 6, and 6 by dividing them by two and placing them inside parenthesis.

[tex]\tt 2(5a+3b+3c)[/tex]

When you multiply 2 to each of the terms, you would end up with 10a + 6b + 6c.

Answer:

The numbers are 548 and 213

Step-by-step explanation:

Use a linear function:

Let x = 1st number

Let y = 2nd number

x+y=761

x-y=335

2x=1096

x=548

plug x into either equation

548+y=761

y=761-548

y=213

548-y=335

-y=-213

y=213

Answer:

30%

Step-by-step explanation:

540/1800 which is .3 which is equal to 30%

Answer:

40%

Step-by-step explanation:

12 divided by 30 will give you 0.4

Answer:

3

Explanation:

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

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

m = 3

Answer:

what table

Step-by-step explanation:

Answer:

x

≥

−

1

Step-by-step explanation:

Answer:

7h+1=29 is equal to 7 x 4 + 1=29

Step-by-step explanation:

We know that 7 times 4 = 28. So the value of h is 4. And of course, you add the one.

Answer:

The original height of the tree is 18 m.

Step-by-step explanation:

Please see attached photo for explanation.

From the diagram, we shall determine the value of 'x'. This can be obtained by using the pythagoras theory as follow:

x² = 5² + 12²

x² = 25 + 144

x² = 169

Take the square root of both side

x = √169

x = 13 m

Finally, we shall determine the original height of the tree. This can be obtained as follow.

From the question given above, the tree was broken from a height of 5 m from the ground which form a right angle triangle with x being the Hypothenus as illustrated in the diagram.

Thus, the original height of the will be the sum of 5 and x i.e

Height = 5 + x

x = 13 m

Height = 5 + 13

Height = 18 m

Therefore, the original height of the tree is 18 m.

Answer:

13.0

Step-by-step explanation:

Place value can be defined as the numerical value representing a digit owing to its position in a number. Some examples of the various place values used in representing each digit are tenths, hundredths, thousandths, unit, tens, hundreds, thousands etc.

For the number 13.045;

Therefore, 13.045 to the nearest tenth is equal to 13.0.

NB: This is because the value of the hundredth term (4) is less than 5 and as such cannot be rounded up.

The required similarity ratio for the given triangle is given as 1/3, and option B is correct.

Similar triangles are those triangles that have similar properties,i.e. angles and proportionality of sides.

Here,
Consider the triangles ABC to PQR,
Taking the ratio of the corresponding sides,
AB/PQ = BC /QR = AC/PR
2 / 6 = 2/6 = 1/3
1/3 = 1/3 = 1/3

Thus, the required similarity ratio for the given triangle is given as 1/3, and option B is correct.

Learn more about similar triangles here:

brainly.com/question/25882965

#SPJ2

Answer: 72

Step-by-step explanation:

Given: Choices for hats = 3

Choices for scarves = 8

Choices for nose = 3

Using the Fundamental principle of counting, the number of different snowmen she can make = (Choices for hats) x (Choices for scarves) x (Choices for nose)

= 3 x 8 x 3

= 72

Hence, the number of different snowmen she can make  = 72

Answer:

0.375

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hope this Helps! :)

Answer:

first you divide six by 3 to get 2 and then divide 252 by 3 to get 84.

Answer:

60°

I hope I'm correct thanks

Answer:

x=55°

Step-by-step explanation:

Hope you have a great day!

Answer:

g(x) = 77

Step-by-step explanation:

g(x) = 5x + 7

Use G=(14)

g(x) = 5(14) + 7

g(x) = 77

"The Kid Laroi" -Rapper-Songwriter

Answer:

g(x) = 77

Step-by-step explanation:

g(x) = 5x + 7

g(x) = 5(14) + 7

g(x) = 77

Hope this helps :)

Answer:

[tex] x = \frac{ - ( - 7) + - \sqrt{( - 7) {}^{2} } - 4 \times 1 \times 8}{ 2 \times 1} [/tex]

[tex]x = \frac{7 + - \sqrt {49 - 32} }{ 2} [/tex]

[tex] x = \frac{ 7 + - \sqrt{17} }{2} [/tex]

[tex]x 1= \frac{7 + \sqrt{17} }{2} [/tex]

[tex]x 2= \frac{ 7 - \sqrt{17} }{2} [/tex]

Answer:

No the number of egg whites used is not proportional to the cups of jelly used.

Step-by-step explanation:

if your jelly is 1/3 cup then just one egg white is not also 1/3 a cup