A triangular metal plate has base measuring 18 cm. Its height is unknown.

What equation models the area of this plate?

Let A represent the area, b represent the base, and h represent the height of the plate.

The model is based on the formula for the area of a triangle.

Answer:

8

Step-by-step explanation:

Let x be the number added to both numerator and denominator.

Initial fraction=7/17

After adding x to both the numerator and the denominator

Then ,we get fraction=3/5

We have to find the value of x.

According to question

[tex]\frac{7+x}{17+x}=\frac{3}{5}[/tex]

[tex]5(7+x)=3(17+x)[/tex]

[tex]35+5x=51+3x[/tex]

[tex]5x-3x=51-35[/tex]

[tex]2x=16[/tex]

[tex]x=\frac{16}{2}=8[/tex]

Answer:

the measure of angle B is 50

Step-by-step explanation:

the measure on the other side of the 120 is 60

hope this helps!!

Answer:

1.5%

Step-by-step explanation:

Answer:

12 feets below sea level

Step-by-step explanation:

Initial height = 25 feets above sea levwl

Total descent = 37 feets

Distance traveled below sea level = 37 feets - 25 feets = 12 feets

Hence, Sarah traveled 12 feets below sea level

9514 1404 393

Answer:

  -1/2 < x < 3

Step-by-step explanation:

First you need to find the x-intercepts. Since the leading coefficient is positive, you know the graph is decreasing through the left x-intercept, so will be negative between the x-intercept values.

  f(x) = 2x^2 -5x -3

  f(x) = 2x^2 -6x +x -3

  f(x) = 2x(x -3) +1(x -3)

  f(x) = (2x +1)(x -3)

The x-intercepts are the values of x that make these factors zero:

  2x +1 = 0   ⇒   x = -1/2

  x -3 = 0   ⇒   x = 3

The graph of f(x) is negative on the interval ...

  -1/2 < x < 3

Answer:

Hi we need a picture or a chart.

Step-by-step explanation:

Answer:

2,411.44

Step-by-step explanation:

Answer:

7.8

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

i think that is right

i hope so

have a good day hope that is correct

Answer:

1/2

Step-by-step explanation:

25 is half of 50

Answer:

yes

Step-by-step explanation:

Answer:

As somas estão abaixo

Step-by-step explanation:

a) 158

b) 2095

c) 2819

d) 9082

Eu espero que isso ajude :)

Answer:

B One term of the polynomial has a degree of 3

Answer:

x=-1

Step-by-step explanation:

-2x - 5 = -3

add 5 to both sides

-2x = 2

divide both sides by -2

x = -1

Answer:

x = -1

Step-by-step explanation:

-2x - 5 = -3

Same to both sides:

-2x = -3 + 5

Simplify:

-2x = 2

Divide by -2 on each side to isolate x:

x = -1

Let me know if you have any questions

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Answer:

  15

Step-by-step explanation:

The given range of numbers is -20 to 10, so is 10-(-20)+1 = 31 numbers. Since the end points of the range are both even, there is one more even number than there are odd numbers in the range. The number of odd numbers is ...

  (31 -1)/2 = 15

There are 15 odd numbers between -20 and 10.

Answer:

266.66666667%

Step-by-step explanation:

240 / 90 = 266.666666666667%

Answer:

$548053.69

Step-by-step explanation:

Cost of home = $190000

Down payment = 18%

Loan amount = (1 - 0.18) * 190000 = $155800

Rate, r = 4.2% = 0.042 ; compounded monthly for 30 years

Using the relation :

A = P(1 + r/n)^nt

n = number of compounding times per period = 12

A = 155800(1 + 0.042/12)^(12 * 30)

A = 155800(1.0035)^360

A = 155800 * 3.5176745

A = 548053.69

Final loan amount = $548053.69

Answer:

Atleast 63

Step-by-step explanation:

Hope that helps!

Answer:

x²+3x+3

Step-by-step explanation:

hope it helps you

please mark me as brainlist

Answer:

scale factor is: 2.25

Step-by-step explanation:

Answer: C. x=22

Step-by-step explanation:

cos(22+2)= 0.913545457

sin(3*22)= 0.913545457

So, cos(x+2)=sin(3x)

Answer: 20ft, 16ft

Step-by-step explanation:

Because 0.5in=2ft, you would divide the length (5in) and the width (4) both by 0.5. Which give you 10 for the length and 8 for the width. Then you multiply both of those products by 2 and that gives you your answer. 20ft and 16ft. Hope this helps. :)

area= b*h              

82.* 16.6

area= 1361.2     since i dont know the number after the decimal in 82. that was the only answer i could give

Answer:

x=7

Step-by-step explanation:

Since the two lines, the transversal intersects are parallel we know that the angles are same-side interior. This means they are supplementary or add up to 180. Therefore, to solve add the two expressions and set them equal to 180, then solve with properties of equality.

14x+7+10x+5=180

First, add like terms

24x+12=180

Then, subtract 12 from both sides

24x=168

Next, divide both sides by 24

x=7

Answer:

if they start to brown

Step-by-step explanation: They are white if they are new brown if old

Answer:

By studying fossils, we can tell how long life has existed on Earth, and how different plants and animals are related to each other. We can work out how and where they lived, and use this information to find out about ancient environments.

Step-by-step explanation:

Given:

PQRS is a circle, PQT and SRT  are straight lines.

To find:

The value of x.

Solution:

Since PQRS is a circle, PQT and SRT  are straight lines, therefore, PQRS isa cyclic quadrilateral.

We know that, sum of opposite angles of a cyclic quadrilateral is 180 degrees.

[tex]m\angle SPQ+m\angle QRS=180^\circ[/tex]

[tex]81^\circ+m\angle QRS=180^\circ[/tex]

[tex]m\angle QRS=180^\circ-81^\circ[/tex]

[tex]m\angle QRS=99^\circ[/tex]

Now, SRT  is a straight line.

[tex]m\angle QRT+m\angle QRS=180^\circ[/tex]             (Linear pair)

[tex]m\angle QRT+99^\circ=180^\circ[/tex]

[tex]m\angle QRT=180^\circ-99^\circ[/tex]

[tex]m\angle QRT=81^\circ[/tex]               ...(i)

According to the Exterior angle theorem, in a triangle the measure of an exterior angle is equal the sum of the opposite interior angles.

Using exterior angle theorem in triangle QRT, we get

[tex]m\angle PQR=m\angle QRT+m\angle QTR[/tex]

[tex]x=81^\circ+22^\circ[/tex]

[tex]x=103^\circ[/tex]

Therefore, the value of x is 103 degrees.

Answer:

x= 1/4 or 0.25

Answer:

23

Step-by-step explanation:

on edg

Answer:

m = 116

x = 24

y = 76

z = 40

Step-by-step explanation:

For startes the interior angles of triangles always add up to 180 degrees.

That means....

73 + 83 + x = 180

z + m + x = 180

z + y + 64 = 180

Another important fact is that two angles that are intersected by a line in the case 64 and m always add up to 180 degrees.

So m + 64 = 180

Let's start with 73 + 83 + x = 180

If you add 73 and 83 you get 156

x + 156 = 180 then subtract 156 from both sides and

x = 24

Then use m + 64 = 180 subtract 64 from both sides and

m = 116

z + m + x = 180 become

z + 116 + 24 = 180

Add 116 and 24 and you get 140

z + 140 = 180 subtract 140 from both sides and

z = 40

Check to make sure m + x + z = 180

24 + 40 + 116 = 180

z + y + 64 = 180 becomes

y + 40 + 64 = 180

40 + 64 = 104 so

y + 104 = 180 subtract 104 from both sides and

y = 76

Congratulations you have found all of the angles!

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Answer:

  x = 3/10

Step-by-step explanation:

Given

  6x +3 +4x = 1/2(9 +10x)

We can collect term, then multiply by 2.

  10x + 3 = (1/2)(9 +10x)

  20x + 6 = 10x + 9 . . . . . . . multiply by 2

  10x = 3 . . . . . . . . . . . . . . . . subtract (6+10x)

  x = 3/10 . . . . . . . . . . . . . . . divide by 10

_____

Check

  6(3/10) +3 +4(3/10) = (1/2)(9 + 10(3/10))

  1.8 + 3 + 1.2 = 1/2(9 +3)

  6 = 6 . . . . . solution checks OK

Answer:

Step-by-step explanation:

Your answer

Circumference = 2 * π* r = 81.64

r = 12.99 → 13

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