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3 years ago

9

What is the measure of angle X? Enter your answer in the box. M

2 answers:

slava [35]3 years ago

8 0

Answer:

x = 47

Step-by-step explanation:

Every triangle's interior angles add up to 180°.

Let's make an equation.

x + 102 + 31 = 180

x + 133 = 180

x = 47

Wewaii [24]3 years ago

6 0

Answer:

X = 47 degrees

Step-by-step explanation:

The reason is because the total degrees in a triangle is 180 and 102 + 31 is equal to 133 degrees which then you take and subtract it from 180 which gives you 47 degrees.

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Highschool math. this one is pretty easy.

Zigmanuir [339]

A bisector splits an angle into two equal angles.

The answer is the last one: it splits the angle into two congruent angles.

5 0

2 years ago

Find the center and radius of the circle whose diameter has an endpoint at (-3, -4) and the origin.

Zina [86]

Given end points of diameter,

(x1,y1)=(-3,-4)

(x2,y2)=(0,0)

Now,

the equation of circle is,

(x-x1)(x-x2)+(y-y1)(y-y2)=0

or, (x+3)(x-0)+(y+4)(y-0)=0

or, x^2 +3x +y^2 +4y =0

or, x^2 +y^2 +3x + 4y=0

which is in the form of x^2 +y^2 +2gx +2fy + c=0

where,

g=3/2

h=2

c=0

Now,

$radius(r) = \sqrt{ {g}^{2} + {f}^{2} - c } \\ = \sqrt{ \frac{ {3}^{2} }{ {2}^{2} } + {2}^{2} - 0 } \\ = \sqrt{ \frac{9}{4} + 4} \\ = \sqrt{ \frac{25}{4} } \\ = \frac{5}{2}$

6 0

2 years ago

If you go on a road trip of 270 miles in the mountains and 7/ 10 of the trip is downhill, how many miles of the trip are not dow

skelet666 [1.2K]

Answer:

81 miles

Step-by-step explanation:

From the question 7/10 of the trip has been said to be downhill. It therefore means that 3/10 is not downhill.

Miles = 270

Downhill = 7/10

Not downhill = 3/10

Now we have To calculate Miles that are not downhill (uphill)

But first I calculated for the number of downhill miles

270x7/10

Downhill = 189 miles

To get the number of not downhill miles

I subtracted 189 from the total number of miles on the question.

270 - 189

= 81 Miles.

Therefore 81 Miles of the trip are not downhill.

If you have anymore questions or need clarity please let me know on the comment section. Thank you and Good luck!

7 0

3 years ago

Read 2 more answers

the total is 30 coins and 3 dollars. there are twice as many nickles as dimes. how many nickles and dimes and there

beks73 [17]

Answer:

20 nickels and 10 dimes.

8 0

3 years ago

Read 2 more answers

Those 2 questions I need help with . find sec θ and tanθ

Zielflug [23.3K]

STEP - BY - STEP EXPLANATION

What to find?

The the value of secθ.

Given:

(4, 3)

⇒(x, y) = (4, 3)

Step 1

Draw a sketch.

Step 2

Substitute the values into the trig. ratio formula below.

$tan\theta=\frac{opposite}{adjacent}$

From the sketch above, opposite = 3 and adjacent = 4

$tan\theta=\frac{3}{4}$

Step 3

Find the value of the hypotenuse side using Pythagoras theorem.

let h be the hypotenuse side.

$\begin{gathered} h^2=4^2+3^2 \\ \\ =16+9 \\ \\ =25 \\ \\ h=5 \end{gathered}$

Hence, hypotenuse = 5

Step 4

Substitute the values into the formula below:

$\begin{gathered} cos\theta=\frac{adjacent}{hypotenuse} \\ \\ =\frac{4}{5} \end{gathered}$

But,

$sec\theta=\frac{1}{cos\theta}=\frac{1}{\frac{4}{5}}=\frac{5}{4}$

ANSWER

secθ= 5/4

tanθ=3/4

7 0

11 months ago