In the triangle below, find the measurements of the unknown angles. a 75 • A. 75 1059 B. 40°. 80° O c. 50, 10° O D. 25°, 50 O E 35°. 70​

9514 1404 393

Answer:

  18, 21

Step-by-step explanation:

Let x represent the smaller number. Then x+3 is the larger number, and the other relation between them is ...

  3(x+3) = (7/10)(5x)

  6x +18 = 7x . . . . . multiply by 2 and simplify

  18 = x . . . . . . . . . . subtract 6x

The two numbers are 18 and 21.

Answer:

30

Step-by-step explanation:

8x6 is 48

7x6 is 42

so 5x6 is 30

Answer:

Step-by-step explanation:

You need JL. Use the Pythagorean Theorem to get it.

a^2 + b^2 = c^2

a = 9

b = 40

c = ?

9^2 + 40^2 = c^2

c^2 = 1681

sqrt(c^2) = sqrt(1681)

c = 41

Cos(j) = adjacent / hypotenuse

adjacent = 9

hypotenuse = 41

Cos(J) = 9 / 41

Answer:

50 years

Step-by-step explanation:

a century is 100 years so half of that would be 50

Answer:

the x is 90

because its special trangle 3 4 5 but multiplied by 100

Answer:

[tex] \huge \bold \purple{answer}[/tex]

Answer:i think that it is B

u^2 - 10u + 51=0

Step-by-step explanation:

Answer:

250 in²

Step-by-step explanation:

There are four identical rectangles so therefore area of one rectangle times 4. Then add the sum of the areas of the two identical squares.

4( l x b) + 2( l x b)

4( 10 x 5) + 2(5 x 5)

4(50) + 2(25)

200 + 50

Therefore 250 in²

Answer:

y=sin(°/3) means that y equals the sine of a given degree divided by 3.

Answer:

0.938

Step-by-step explanation:

Using the poisson probability relation:

P(x = x) = (e^-λ * λ^x) ÷ x!

λ = 3 per half an hour = 6 cars per hour

P(x ≥ 3) = 1 - [p(x = 0) + p(x = 1). + p(x = 2)]

P(x ≥ 3) = (e^-6* (6^0 + 6^1 + 6^2/2!))

P(x ≥ 3) = 1 - (e^-6 * (1 + 6 + 18)

P(x ≥ 3) = 1 - (e^-6 * 25)

P(x ≥ 3) = 1 - (0.0024787 * 25)

P(x ≥ 3) = 1 - 0.0619688

P(x ≥ 3) = 0.9380311

= 0.938

Answer:

1.a=5cm

Surface area :6a²=6×5²=150cm²

2.r=3cm

h=5cm

total surface area of cylinder =2πr(r+h)

=2π×3(3+5)=48π cm²

3.

l=4m

b=5m

h=2m

now.surface area =2(lb+lh+bh)

=2(4*5+4*2+5*2)

=76m²

4.

r=6cm

surface area =4πr²=4*π*6²=144πcm²

5.

slant height (S)=8cm

length =breadth=(L)=4cm

Surface area of pyramid =area of base + 2* area of trainglular face

=L²+2*S*L

=4²+2*8*4

=80cm²

Answer:

AOB=40°

COD=90°

BOD=130°

AOD=180°

Answer:

49°

Step-by-step explanation:

7.5x-15+90=180

7.5x+75 =180

7.5x=105

x =14

so NPQ = ( 4×14 -7 ) = 49° this the answer

Answer:

Step-by-step explanation:

This is a right triangle

the 20 foot ladder is the hypotenuse

The 9 foot at the bottom is one leg

The height is the remaining leg

Use the pythagorean theorem

a² + b² = c²

a² + 9² = 20²

Subtract 9² from both sides

a² = 20² - 9²

a² = 400 - 81

a² = 319

Take the square root of both sides

a = 17.860571099491752

rounded

17.9 feet

Answer:

A ladder is the hypotenuse of the right triangle.

Missing leg is x.

Use Pythagorean:

9514 1404 393

Answer:

  8.4

Step-by-step explanation:

The given segment relations tell you that the parallel lines are equally spaced. This means that ...

  WV = 3×WY

  WV = 3×2.8

  WV = 8.4

Answer:6y= -5x + 3

Step-by-step explanation:

The product of the slope of the perpendicular lines is equal to a negative one. Then the equation of the perpendicular line is 6y = 5x.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The equation of the line is given below.

5y = -6x + 2

The slope of the equation is -6/5.

Then the equation of the line which is perpendicular to 5y = -6x + 2 is given as

y = mx + c

The product of the slope of the perpendicular lines is equal to a negative one.

The slope of the perpendicular line will be

(-6/5) m = -1

         m = 5/6

Then the equation will be

y = (5/6)x + c

Let the equation is passing through the origin, then we have

6y = 5x

More about the linear system link is given below.

https://brainly.com/question/20379472

#SPJ2

Answer:

b

Step-by-step explanation:

the following equations can be determined from the question

16n + 8o = 336 equation 1

n + o = 30 equation 2

where n = new books

o = old books

Multiply equation 2 by 8

8n + 8o = 240 equation 3

subtract equation 2 from 1

8n = 96

n = 12

substitute for n in equation 2

12 + o = 30

o = 18

Answer:

B. 12 new, 18 used

Step-by-step explanation:

Hope this helps!

Answer:

a=1, b=3

Step-by-step explanation:

2a+3b=11---(1)

4a-5b=-11---(2)

(1)×2-(2): 4a+6b=22

-) 4a-5b=-11

------------------

11b=33

b=3

Put b=3 into (1), we have

2a+3(3)=11

2a=2

a=1

Given:

Two sides of a triangle are 14 and 23.

To find:

The angle for the measures for the third side of a triangle.

Solution:

If a, b, c are three sides of a triangle, then

[tex]a+b>c[/tex]

[tex]a+c>b[/tex]

[tex]b+c>a[/tex]

It is given that two sides of a triangle are 14 and 23.

Let the third side of the given triangle be c. Then, using the above inequalities, we get

[tex]a+b>c[/tex]

[tex]14+23>c[/tex]

[tex]37>c[/tex]                 ...(i)

Similarly,

[tex]a+c>b[/tex]

[tex]14+c>23[/tex]

[tex]c>23-14[/tex]

[tex]c>9[/tex]                 ...(ii)

And,

[tex]b+c>a[/tex]

[tex]23+c>14[/tex]

[tex]c>14-23[/tex]

[tex]c>-9[/tex]                 ...(iii)

Using (i), (ii) and (iii), we get

[tex]9<c<37[/tex]

Therefore, the range for third side of the triangle is [tex]9<c<37[/tex].

Answer:

x = 33

Step-by-step explanation:

these two angles are a linear pair, they form a straight line

there are 180 degrees in a straight line

so you can add each expression and have sum equal 180

2x-18 + 4x = 180

6x - 18 = 180

6x = 198

x = 33

Answer:

1.10

Step-by-step explanation:

Answer:

$1.09

Step-by-step explanation:

3 10 dollar bills is $30

$30 - $25.34 - $2.99 - $0.58 = $1.09

Answer:

0

Step-by-step explanation:

given the system of equations, what is the value of the system to determinant.

x + y = 8

x + y = 10

This can be written in the form AX = b

A is a 2 by 2 matrices

b is a column matrix

Taking the determinant of A

[tex]A =\left[\begin{array}{ccc}1&1\\1&1\\\end{array}\right][/tex]

We are to finds the determinant

|A| = 1(1) - 1(1)

|A| = 1 -1

|A| = 0

hence the required determinant is 0

Answer:

$0.33 or 33¢

Step-by-step explanation:

33/100 = 0.33 = $0.33

Answer:

She purchased the item at a price of Rs 1,406.

Step-by-step explanation:

5% of discount:

This means that she paid 100% - 5% = 95% = 0.95 of the original price of x, that is, 0.95x, and 0.05x was the discount.

Original price:

She got the discount amount of Rs 74.

74 is 5% of the original price, that is:

[tex]0.05x = 74[/tex]

[tex]x = \frac{74}{0.05}[/tex]

[tex]x = 1480[/tex]

What price she purchased:

74 subtracted from the original price, that is, x - 74. So 1480 - 74 = 1406.

She purchased the item at a price of Rs 1,406.

Answer:

The perimeter, in inches, is 32.

Step-by-step explanation:

Since this shape is a square, we know that all sides are equal.

The information given to us is that one side of the square measures 8 inches.

8 + 8 + 8 + 8 = 32

Answer:

c   32

Step-by-step explanation:

Squares have 4 sides of the same length

8 * 4 = 32

Answer:

32

Step-by-step explanation:

Dividing by a fraction is the same as multiplying by the reciprical of the fraction, i.e. dividing by 1/4 is the same as multiplying by 4/1 :)

Answer:

9yx

Step-by-step explanation:

product means multiply.

nine, y and x

9yx

9514 1404 393

Answer:

Step-by-step explanation:

We notice the first pair of coefficients is the same as the last pair (with the sign changed). This means we can factor by grouping.

  f(x) = (2x^3 +6x^2) -(2x +6)

  f(x) = 2x^2(x +3) -2(x +3)

  f(x) = 2(x^2 -1)(x +3) = 2(x -1)(x +1)(x +3)

The factors are made to be zero when x is 1, -1, or -3.

The x-intercepts are (1, 0), (-1, 0), (-3, 0).

The y-intercept is the constant, -6.