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3 years ago

What is the value of x in the figure? Enter your answer in the box. 145º (2x + 15)

Mathematics

1 answer:

777dan777 [17]3 years ago

7 0

Answer:

x = 65

Step-by-step explanation:

The angle labeled with the expression " ( 2x + 15 ) " and the angle with the measure of 145° are vertical angles

Vertical angles are congruent (In other words, they are equal to each other)

Hence, 2x + 15 = 145

^ ( Note that we just created an equation that we can use

to solve for x )

Using that same equation we then solve for x

2x + 15 = 145

step 1 subtract 15 from each side

15 - 15 cancels out

145 - 15 = 130

we now have 130 = 2x

step 2 divide each side by 2

130 / 2 = 65

2x / 2 = x

we're left with x = 65

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For f (x) = 4x +1 and g(x) = x2 - 5, find (1-3)(x).

tamaranim1 [39]

F(x)= 4(1-3)+1
4(-2)+1
-8+1
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G(x)=(1-3)^2-5
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3 years ago

1. Do you the following side lengths form a right triangle?2. Which measurement is closest to the value of X in centimeters?

koban [17]

Answer:

Part 1:

Yes, the side lengths form a right triangle.

Part 2:

Option d 37.1 cm

Explanation:

We need to use the pythagorean theorem.

In part 1, if the 3 side lengths are a right triangle, then, they must verify:

$7.5^2=4.5^2+6^2$

By the theorem. Then:

$\begin{gathered} 7.5^2=56.25 \\ 4.5^2+6^2=20.25+36=56.25 \end{gathered}$

They're equal, then the lengths correspond to a right triangle.

For part 2, we need to use again the theorem. In this case:

$\begin{gathered} 12^2+x^2=39^2 \\ x=\sqrt{1521-144} \\ x=\sqrt{1377} \\ x\approx37.1cm \end{gathered}$

6 0

1 year ago

1a) Your brother has saved $2,000 for vacation. If his airplane ticket costs $600, and his hotel room costs $200 per day, write

ASHA 777 [7]

Answer:

7 days

Step-by-step explanation:

2000-600 is 1400.

1400/200 is 7

2000=200x+600

x=7

6 0

3 years ago

11 3 - 50 ml = A 2.41 B 2.91 C 3.351 D 3.451

julsineya [31]

Es número c por qué esa es la respuesta

5 0

3 years ago

Help!!! Find the center and radius of the circle with the equation (x-4)²+(y+6)²=16

WITCHER [35]

Answer:

Center: $(4,-6)$

Radius: $4$

Step-by-step explanation:

It is necessary to remember that the Equation of the circle in Center-radius form, is:

$(x -h)^2 + (y-k)^2 = r^2$

Where the center of the circle is at the point (h, k) and the radius is "r".

Then, given the following equation of the circle:

$(x-4)^2+(y+6)^2=16$

We can notice that it is written in Center-radius form. Then we can identify that:

$h=4\\k=-6$

Therefore the center is:

$(4,-6)$

And the radius is:

$r^2=16\\\\r=\sqrt{16}\\\\r=4$

5 0

3 years ago

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