Ask question

Ask question

All categories

2 years ago

9

angle a and angle C are vertical angles if the measure of angle a equals 3x + 7° and measure of angle C equals x + 53° what is t

he value of x

1 answer:

ddd [48]2 years ago

4 0

Answer:

x = 23

Step-by-step explanation:

3x + 7 = x + 53 because vertical angles are congruent. So just solve...

3x - x + 7 = x + 53 - x

2x + 7 = 53

2x + 7 - 7 = 53 - 7

2x = 46

x = 23

You might be interested in

What is the product of (3y^-4)(2y^-4)?

borishaifa [10]

(x^a)(x^b)=x^(a+b)

(ab)(cd)=(a)(b)(c)(d)

x^-m=1/(x^m)

(3y^-4)(2y^-4)=
(3)(y^-4)(2)(y^-4)=
(6)(y^-8)=
6/(y^8)

4 0

3 years ago

Read 2 more answers

P(-3,-5) and Q(1, -3) represent points in a coordinate<br> plane. Find the midpoint of PQ.

Karolina [17]

Step by step explanation :

The two points are ,

P( -3 , -5)
Q (1 , -3)

We can find the midpoint by finding the median of x coordinate and y coordinate .

$\tt\to Midpoint = \bigg(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\bigg)\\\\\tt\to Midpoint =\bigg(\dfrac{-3+1}{2},\dfrac{-5-3}{2}\bigg)\\\\\tt\to Midpoint = \bigg( \dfrac{-2}{2},\dfrac{-8}{2}\bigg) \\\\\sf\to\boxed{\orange{\tt Midpoint = (-1,-4)}}$

4 0

2 years ago

If cos 0 =8/17, what is sin 0?

ipn [44]

Answer:

sin=15/17

Step-by-step explanation:

Use the definition of sine to find the value of

sin (0)

sin (0) = opp/hyp

THEN

Substitute in the known values.

sin (0) = 15/17

3 0

1 year ago

A machine covers 5/8 square foot in 1/4 hour

VLD [36.1K]

The question is incomplete. Here is the complete question:

A machine covers 5/8 square foot in 1/4 hour. what is the unit rate?

Answer:

2.5 square feet per hour

Step-by-step explanation:

Given:

Area covered by a machine = $frac{5}{8}\ ft^2$

Time taken to cover the given area = $\frac{1}{4}\ h$

Now, unit rate of the first quantity with respect to second quantity is the magnitude of the first quantity being when the second quantity is one unit.

Here, the first quantity is the area covered and the second quantity is the time taken.

So, unit rate is the area covered by the machine in 1 hour.

In order to find that, we use the unitary method and divide the area by the total time taken. Therefore,

$Unit\ rate=\frac{Total\ area\ covered}{Total\ time\ taken}\\\\Unit\ rate=(\frac{5}{8}\ ft^2)\div (\frac{1}{4}\ h)\\\\Unit\ rate=\frac{5}{8}\times \frac{4}{1}\ ft^2/h\\\\Unit\ rate=\frac{20}{8}=2.5\ ft^2/h$

Thus, the unit rate is 2.5 square feet per hour.

5 0

2 years ago

A circle is centered at (11, −9) and has a radius of 12.

ahrayia [7]

$\bf \textit{equation of a circle}\\\\
(x-{{ h}})^2+(y-{{ k}})^2={{ r}}^2
\qquad 
\begin{array}{lllcl}
center\quad (&h,&\quad k)\qquad
radius=&r\\
&11&-9&12
\end{array}$

6 0

2 years ago