All categories

3 years ago

A side of the triangle below has been extended to form an exterior angle of 159º. Find the value of x.

Mathematics

2 answers:

xenn [34]3 years ago

5 0

Answer:

x = 69

Step-by-step explanation:

The exterior angle is equal to the sum of the opposite interior angles in a triangle

x+90 = 159

Subtract 90 from each side

x +90-90 = 159-90

x =69

Ulleksa [173]3 years ago

5 0

Answer:

One of the interior angles is given as 90°

Move on to the exterior angle with 159°. Since one part of the altitude is given to be 159°, we can find the other part (let's name it y) because both add up to 180°(linear pair).

159+y = 180

y = 180-159

y = 21°

Now finally find x.

All the interior angles of the triangle result up to 180°

90+21+x = 180

111+x = 180

x = 180-111

x = 69°

You might be interested in

Please help me!!!! You only have to answer number 1!!!

mrs_skeptik [129]

Given : A social media website has currently = 1,000 members.

In each month number of members gets triple.

To find: Equation that represents number of members m belongs to site.

Solution: Because we are given, each month the number of members gets triple, that means each month we can multiply by 3 to the number of members of previous month.

For first month, we would multiply 1,000 by 3.

For second month, we would multiply 1,000 by 3 *3.

For second month, we would multiply 1,000 by 3*3*3.

Each month one factor of 3 is being increasing.

We could write those 3's as exponents of 3.

Like $1000*3 = 1000*3^1$

$1000 * 3^2.$

$1000 * 3^3.$

As many months as many 3's are there.

So, the exponent of 3 is represnts the number of months.

Let us take a variable for number of month by n.

So, we could setup an equation for number of members m belongs to site on a particular month n as

$m= 1000 (3)^n$

This is our final equation.

7 0

3 years ago

Tony wants to purchase a baseball glove for $14.96, a baseball bat for $19.87, and a baseball for $5.37. He figured out that he

eimsori [14]

To solve this, first we calculate all the total cost of the items that is:

total cost = $14.96 + $19.87 + $5.37

total cost = $40.20

So we see that the actual cost is similar with the estimate so his calculation is reasonable.

7 0

3 years ago

Graph the function −4x+y=3.<br><br><br> I just need to know the coordinates.

trasher [3.6K]

Slope: 4

Y-intercept: (0,3)

X-intercept: (-3/4,0)

Slope intercept: y=4x+3

5 0

2 years ago

Read 2 more answers

What is the area of and the perimeter of this triangle?

Veseljchak [2.6K]

Answer:

A = 40 square yards; P = 33 yards.

Step-by-step explanation:

Perimeter of the triangle

= ( 8 + 15 + 10)

= 36 yards.

Area of the right angled triangle

= 1 /2 * 10 * 8

= 40 square yards.

Hope it will help :)

7 0

3 years ago

Simplify y-2/3/y+1/5

liberstina [14]

Answer:

$\frac{15y-10}{15y-3}$

Step-by-step explanation:

First at all, we need to use $a=\frac{a}{1}$ to convert this expression into a fraction, like:

$y-\frac{2}{3}$ to convert into $\frac{y}{1} -\frac{2}{3}$ .

Expand the fraction to get the least common denominator, like

$\frac{3y}{3*1}-\frac{2}{3}$

Write all numerators above the common denominator, like this:

$\frac{3y-2}{3}$

The bottom one used the same way to became simplest form, like this:

$y+\frac{1}{5}$

$\frac{y}{1} +\frac{1}{5}$

$\frac{5y}{5*1}+\frac{1}{5}$

$\frac{5y+1}{5}$

And it became like this:

$\frac{3y-2}{3}/\frac{5y+1}{5}$

Now, we are going to simplify this complex fraction. We can use cross- multiply method to simplify this fraction.

$\frac{3y-2}{3}*\frac{5y+1}{5}$

3y-2(5) and 5y-1(3)

and it will becomes like this in function form:

$\frac{3y-2(5)}{5y+1(3)}$

Then, we should distribute 5 through the parenthesis

$\frac{15y-10}{5y+1(3)}$

$\frac{15y-10}{15y+3}$

And.... Here we go. That is the answer.

7 0

3 years ago