All categories

2 years ago

Please Help ASAP!!!!

Mathematics

1 answer:

KIM [24]2 years ago

3 0

Answer:

$m\angle M = 98\degree$

Step-by-step explanation:

As we know that:

Sum of the measure of all interior angles of a triangle is always 180°.

$\therefore (3x-16)\degree+(x+6)\degree+ x\degree = 180\degree\\\therefore (5x-10)\degree = 180\degree\\5x-10 = 180\\5x = 180 + 10\\5x = 190\\x= \frac{190}{5}\\x= 38\\\because m\angle M = (3x-16)\degree\\\therefore m\angle M = (3\times 38 -16)\degree\\\therefore m\angle M = (3\times 38 -16)\degree\\\therefore m\angle M = (114 -16)\degree\\\therefore m\angle M = 98\degree$

You might be interested in

Chen has 4 pizzas to share with his friends. If each person will eat 2/3 of a pizza,how many people can share the pizzas?

sweet-ann [11.9K]

Answer:6 people

Step-by-step explanation: divide 4 by 2/3

4 0

2 years ago

an isosceles triangle has a vertex angle of 21.21 degrees. two sides of the triangle are each 17.91 ft long. whats the area of t

lubasha [3.4K]

Answer:

The area of triangle is $A=58.02\ ft^{2}$

Step-by-step explanation:

Let

B -----> the measure of the vertex angle of the isosceles triangle ABC

a and c -----> the two congruent sides of the isosceles triangle ABC

we know that

The area of a triangle applying the law of sines is equal to

$A=\frac{1}{2}(a)(c)sin(B)$

we have

$a=c=17.91\ ft$

$B=21.21\°$

substitute in the formula

$A=\frac{1}{2}(17.91)(17.91)sin(21.21\°)$

$A=58.02\ ft^{2}$

7 0

2 years ago

Each soda costs $4.50 at the baseball game. Which of the following represents the dependent variable?

Shkiper50 [21]

Answer:

The price of the soda.

Step-by-step explanation:

The dependent variable is the variable defined to be dependent on another object, typically the independent variable. That means the variable that varies based off of another value is the dependent variable. In this situation, as the number of sodas bought increases, the total price increases. The price varies off of the number of sodas because the increase in sodas causes it to increase. Thus, the price is the dependent variable.

8 0

2 years ago

Seattle, WA and San Francisco, CA lie on the same longitudinal line. San Francisco is at 38° latitude and Seattle is at 47° lati

Helen [10]

Step 1.

Calculate measure of angle α:

$47^o-38^o=9^o$

Step 2.

Calculate what fraction of the angle 360° is the angle α:

$\dfrac{9^o}{360^o}=\dfrac{1}{40}$

Step 3.

Calculate the circumference of the Earth (circle):

$C=2\pi r\to C=2\pi\cdot4000=8000\pi\ mi$

Step 4.

The length of arc is equal 1/40 of the circumference:

$\dfrac{1}{40}C=\dfrac{1}{40}\cdot8000\pi=200\pi\ mi$

$\pi\approx3.14\to\dfrac{1}{40}C\approx200\cdot3.14=628\ mi$

<h3>Answer: A) 628 miles</h3>

7 0

3 years ago

What will the last payment be to pay off a $1,250 computer plus 8% sales tax with monthly payments of $120?

GrogVix [38]

Convert 8% too decimal form = 8/100 = .08
1250 * .08 = 100
1250 + 100 = 1350
To find out how many payments of 120 can be made :
120x = 1350
divide both sides by 120
x = 11.25 payments of $120
since .25 is a fraction calculate the actual $ amount by mult. 120 * .25 = $30
The last payment is $30

8 0

2 years ago