All categories

3 years ago

Find the measure of the numbered angle. m∠8 =

Mathematics

2 answers:

Artyom0805 [142]3 years ago

6 0

Answer:

∠ 8 = 140°

Step-by-step explanation:

∠ 8 and 40° are adjacent angles and supplementary ( sum to 180° ), then

∠ 8 = 180° - 40° = 140°

iris [78.8K]3 years ago

6 0

Answer:

m∠8 = 140°

Step-by-step explanation:

40 and angle 8 are supplementary angles

this means they add up to 180°

so, you can make the following equation:

40 + m∠8 = 180

<em>subtract 40 from both sides of the equation</em>

40 - 40 m∠8 = 180 - 40

m∠8 = 180 - 40

m∠8 = 140

You might be interested in

doors for the small cabinet are 12.5 inches long. Doors for the large cabinet are 2.5 times as long as the doors from the small

Firlakuza [10]

Large cab doors= 12.5x2.5= 31.25in

1feet = 12in

12feet X 12 = 144in board

144 / 31.25 = 4.608

4 large doors can be cut

19in left over

4 0

3 years ago

If the interest on investment is $44 when the interest rate is 5%. find the interest when the rate is 8.4%.

kolezko [41]

The interest at 8.4% is:
$44\times\frac{8.4}{5}=73.92$
The answer is $73.92.

6 0

3 years ago

Which equation represents a parabola that opens upward, has a minimum at x = 3, and has a line of symmetry at x = 3?

densk [106]

Answer:

$A.\ y = x^2 - 6x + 13$ is the correct answer.

Step-by-step explanation:

We know that vertex equation of a parabola is given as:

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

where $(h,k)$ is the vertex of the parabola and

$(x,y)$ are the coordinate of points on parabola.

As per the question statement:

The parabola opens upwards that means coefficient of $x^{2}$ is positive.

Let $a = +1$

Minimum of parabola is at x = 3.

The vertex is at the minimum point of a parabola that opens upwards.

$\therefore$ $h = 3$

Putting value of a and h in the equation:

$y = 1(x-3)^2+k\\\Rightarrow y = (x-3)^2+k\\\Rightarrow y = x^2-6x+9+k$

Formula used: $(a-b)^2=a^{2} +b^{2} -2\times a \times b$

Comparing the equation formulated above with the options given we can observe that the equation formulated above is most similar to option A.

Comparing $y = x^2 - 6x + 13$ and $y = x^2-6x+9+k$

13 = 9+k

k = 4

Please refer to the graph attached.

Hence, correct option is $A.\ y = x^2 - 6x + 13$

3 0

3 years ago

Read 2 more answers

What is the value of x is in the solution set of 8x-6>12+2x?

fiasKO [112]

Answer:

see explanation

Step-by-step explanation:

Given

8x - 6 > 12 + 2x ( subtract 2x from both sides )

6x - 6 > 12 ( add 6 to both sides )

6x > 18 ( divide both sides by 6 )

x > 3

Any value of x greater than 3 will be in the solution set

7 0

3 years ago

Factorise 14e-16<br> Please explain

rosijanka [135]

The expression 14e - 16 is an algebraic expression, and the factored expression is 2(7e - 8)

<h3>How to factor the expression 14e - 16?</h3>

The expression is given as:

14e - 16

Express both terms as a product of 2

14e - 16 = 2 * 7e - 2 * 8

Factor out 2 in the expression

14e - 16 = 2 * (7e - 8)

Remove the product sign

14e - 16 = 2(7e - 8)

Hence, the factored expression of 14e - 16 is 2(7e - 8)

Read more about factored expressions at:

brainly.com/question/723406

5 0

2 years ago