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4 years ago

Use Figure 1 to answer questions 1-4

Mathematics

1 answer:

kolezko [41]4 years ago

5 0

Answer:

95 degrees

Step-by-step explanation:

since angles 1 and 4 are vertical angles, they are congruent

3x+10=4x-15

3x-4x=-15-10

-x=-25

x=25

x=25 degrees

angles 4 and 7 are supplementary due to them being alternate exterior angles

lets find the measure of angle 4:

4x-15

4*25-15

100-15

85 degrees

Now, lets find the angle measure of angle 7:

85+x=180

x=180-85

x=95

So, the angle measure of angle 7 is 95 degrees

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La casa de Mauricio está construida en un terreno de forma rectangular, el cual mide el doble de largo que de ancho. Mauricio as

elixir [45]

Answer:

x^2 = 121

Step-by-step explanation:

Sea el ancho del terreno x metros

Dado que la longitud es el doble del ancho, entonces la longitud será 2 * x = 2x

Matemáticamente, el área de un rectángulo es;

Anchura longitud Por lo tanto, tenemos

x * 2x = 242 metros cuadrados

Así; 2x ^ 2 = 242

x ^ 2 = 242/2

x ^ 2 = 121

7 0

3 years ago

2) Dada a equação x2 – 4x – 12, faça o que se pede.

alexandr1967 [171]

Answer:

a) x1 = 6 and x2 = -2

b) -2

Step-by-step explanation:

To find the roots of the quadratic equation, we can use the Bhaskara's formula:

Delta = b^2 - 4ac

Delta = (-4)^2 - 4*1*(-12) = 64

sqrt(Delta) = 8

x1 = (-b + sqrt(Delta)) / 2a

x1 = (4 + 8) / 2

x1 = 6

x2 = (-b - sqrt(Delta)) / 2a

x2 = (4 - 8) / 2

x2 = -2

The roots are 6 and -2, so the smaller root is -2

4 0

3 years ago

Sonia used $12.50 to buy a new journal. She has $34.25 left in her savings account. How much money did Sonia have before she bou

natali 33 [55]

X-12.50=34.25

Add 12.50 to both sides
X=46.75

3 0

4 years ago

Read 2 more answers

If someone worked 10 :00 to 1:00 how many hours would they have worked

nirvana33 [79]

10 to 11 = 1 hr
11 to 12 = 1 hr
12 to 1 = 1 hr

total = 3 hours

7 0

3 years ago

Read 2 more answers

find the equation of the perpendicular bisector of the line segment joining the points (3,8) and (-5,6).

IgorLugansk [536]

Answer:

y = - 4x + 3

Step-by-step explanation:

The perpendicular bisector is positioned at the midpoint of AB at right angles.

We require to find the midpoint and slope m of AB

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = A(3, 8) and (x₂, y₂ ) = B(- 5, 6)

m = $\frac{6-8}{-5-3}$ = $\frac{-2}{-8}$ = $\frac{1}{4}$

Given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{\frac{1}{4} }$ = - 4

mid point = [0.5(x₁ + x₂ ), 0.5(y₁ + y₂ ) ]

Using the coordinates of A and B, then

midpoint AB = [0.5(3 - 5), 0.5(8 + 6) ] = (- 1, 7 )

Equation of perpendicular in slope- intercept form

y = mx + c ( m is the slope and c the y- intercept )

with m = - 4

y = - 4x + c ← is the partial equation

To find c substitute (- 1, 7) into the partial equation

Using (- 1, 7), then

7 = 4 + c ⇒ c = 7 - 4 = 3

y = - 4x + 3 ← equation of perpendicular bisector

3 0

3 years ago

Read 2 more answers