All categories

3 years ago

What is the measure of X , in degrees?

Mathematics

2 answers:

oksano4ka [1.4K]3 years ago

6 0

Answer:

Step-by-step explanation:

The angle of x and angle of 109, are supplementary, which means when added they are equal to 180 degrees.

109 + x = 180

x = 180 - 109

x = 71

just olya [345]3 years ago

4 0

Answer:

Because segments XY and XZ are of equal length, angle Y and angle Z must be congruent.

All inner angles must add to 180 degrees since it's a triangle.

70+70+x=180

140+x=180

x=40

Step-by-step explanation:

You might be interested in

1 A lawnmower that regularly sells for $200 is on sale for $85. Find the % of change that the price was decreased by ??? percent

Airida [17]

Answer:

The price changed by 92.5 %

Step-by-step explanation:

The regular price of lawn mover = 200 dollars

The new selling price = 85 dollars

Change in selling price = 200 -85 dollars = 115 dollars

% change == $\frac{185}{200} * 100 = 92.5$

The price changed by 92.5 %

4 0

3 years ago

In △ABC, point D∈ AC with AD:DC=4:3, point E∈ BC so that BE:EC=1:5. If ACDE=5 in2, find ABDC, AABD, and AABC.

Kaylis [27]

Answer:

ar ΔBDC=6 $in^2$

ar ΔABD=8 $in^2$

ar ΔABC=14 $in^2$

Explanation:

Please take a look of attach figure.

We are given area of triangle ar ΔCDE=5 $in^2$

ar ΔCDE= $\frac{1}{2}\times DN\times EC$ ------------(1)

ar ΔBDE= $\frac{1}{2}\times DN\times BE$ ------------(2)

Divide eq(2) by eq(1) and we get,

$\frac{ar\ ΔBDE}{ar\ ΔCDE}=\frac{BE}{EC}$

$\frac{ar\ ΔBDE}{5}=\frac{1}{5}$

So, ar ΔBDE=1 $in^2$

ar ΔBDC=ar ΔBDE+ ar ΔCDE

ar ΔBDC=1+5 = 6 $in^2$

Similarly,

$\frac{ar\ ΔABD}{ar\ ΔBDC}=\frac{AD}{DC}$

$\frac{ar\ ΔABD}{6}=\frac{4}{3}$

ar ΔABD=8 $in^2$

ar ΔABC=ar ΔABD + ar ΔBDC

ar ΔABC=8+6 = 14 $in^2$

6 0

3 years ago

Approximately how many CDs of 12cm diameter can fit in a rectangular wall which dimensions are 6mx4,8m?

jeka94

Approximately 24000 CD's would fit in a rectangular wall with the above dimensions.

8 0

3 years ago

Write the slope - intercept form of the equation of each line

Shkiper50 [21]

In the given graph :

y - intercept of the line (c) is :

let's find slope (m) :

$\dfrac{y_2 - y_1 }{x_2 - x_1 }$

$\dfrac{2 - 0}{0 - 1}$

$- 2$

now, let's equate it with general equation to find the equation of line,

y = mx + c

m = -2

c = 2

therefore, the equation of line will be :

y = -2x + 2

8 0

3 years ago

A bike frame has a top tube length of 20.75 inches, a seat tube length of 8.9 inches, and a seat tube angle of 71 degrees.

katovenus [111]

A hope I help you 667xccc

3 0

3 years ago