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3 years ago

Please Help! I will give you a lot of points! (6.3)

Mathematics

1 answer:

snow_tiger [21]3 years ago

5 0

Answer:

Architect - $83000
Lawyer - $128000

Step-by-step explanation:

Salary of a lawyer = l
Salary of an architect = a

According to the question we have:

l = 2a - 38000
l + a = 211000

Substitute l into the second equation and solve for a:

2a - 38000 + a = 211000
3a = 211000 + 38000
3a = 249000
a = 249000/3
a = 83000

Find the value of l:

l = 211000 - 83000
l = 128000

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URGENT!! Need help can someone explain please!!!

forsale [732]

Answer:

The answer to your question is 1 = 69°

Step-by-step explanation:

To solve this problem remember that the sum of the internal angles in a triangle equals 180°.

Let the third angle of the triangle be x.

39° + 30° + x = 180

Solve for x

x = 180 - 39 - 30

x = 111°

Angle x and angle 1 are supplementary so their sum equals 180°.

111° + 1 = 180

1 = 180 - 111

1 = 69°

5 0

2 years ago

Read 2 more answers

What are the coordinates of the circumcenter of this triangle?

Oduvanchick [21]

Answer:

The coordinates of the circumcenter of this triangle are (3,2)

Step-by-step explanation:

we know that

The circumcenter is the point where the perpendicular bisectors of a triangle intersect

we have the coordinates

$A(-2,5),B(-2,-1),C(8,-1)$

step 1

Find the midpoint AB

The formula to calculate the midpoint between two points is equal to

$M=(\frac{x1+x2}{2},\frac{y1+y2}{2})$

substitute the values

$M=(\frac{-2-2}{2},\frac{5-1}{2})$

$M_A_B=(-2,2)$

step 2

Find the equation of the line perpendicular to the segment AB that passes through the point (-2,2)

Is a horizontal line (parallel to the x-axis)

$y=2$ -----> equation A

step 3

Find the midpoint BC

The formula to calculate the midpoint between two points is equal to

$M=(\frac{x1+x2}{2},\frac{y1+y2}{2})$

substitute the values

$M=(\frac{-2+8}{2},\frac{-1-1}{2})$

$M_B_C=(3,-1)$

step 4

Find the equation of the line perpendicular to the segment BC that passes through the point (3,-1)

Is a vertical line (parallel to the y-axis)

$x=3$ -----> equation B

step 5

Find the circumcenter

The circumcenter is the intersection point between the equation A and equation B

$y=2$ -----> equation A

$x=3$ -----> equation B

The intersection point is (3,2)

therefore

The coordinates of the circumcenter of this triangle are (3,2)

3 0

2 years ago

Ned rode his bike 7 miles to the library. he took a shortcut on the way home which was only 5 miles long. how many miles did ned

kondor19780726 [428]

He took 12 miles your welcome

4 0

3 years ago

Pedro grew 4 1/3 inches during a 3 ½ month growth spurt. If his growth spurt continued at the same rate how much did he grow in

borishaifa [10]

4 1/3 divided by 3 1/2. = 1.23

6 0

3 years ago

A geometric sequence is defined by the general term tn = 75(5n), where n ∈N and n ≥ 1. What is the recursive formula of the sequ

andreyandreev [35.5K]

The correct answer is C) t₁ = 375, $t_n=5t_{n-1}$ .

From the general form,
$t_n=75(5)^n$ , we must work backward to find t₁.

The general form is derived from the explicit form, which is
$t_n=t_1(r)^{n-1}$ . We can see that r = 5; 5 has the exponent, so that is what is multiplied by every time. This gives us

$t_n=t_1(5)^{n-1}$

Using the products of exponents, we can "split up" the exponent:
$t_n=t_1(5)^n(5)^{-1}$

We know that 5⁻¹ = 1/5, so this gives us
$t_n=t_1(\frac{1}{5})(5)^n
\\
\\=\frac{t_1}{5}(5)^n$

Comparing this to our general form, we see that
$\frac{t_1}{5}=75$

Multiplying by 5 on both sides, we get that
t₁ = 75*5 = 375

The recursive formula for a geometric sequence is given by
$t_n=t_{n-1}(r)$ , while we must state what t₁ is; this gives us

$t_1=375; t_n=t_{n-1}(5)$

3 0

3 years ago