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Karo-lina-s [1.5K]
3 years ago
5

Pleaseee answer correctly !!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!! (It has to be two capital letters !!! )

Mathematics
2 answers:
Leokris [45]3 years ago
8 0

Answer:

the answer is WU is congruent to UV

Dmitry [639]3 years ago
3 0
TW is congruent to UV
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Given α and β are Supplementary. Show the necessary steps.
user100 [1]

Answer:

\alpha = 108\degree, \: \beta = 72\degree

Step-by-step explanation:

α and β are Supplementary (given)

\therefore \alpha + \beta = 180\degree.... (1)

It is given that:

\alpha= \frac{3}{2} \beta

Plugging the value of α in equation (1), we find:

\frac{3}{2} \beta + \beta = 180\degree

\therefore  \frac{3+2}{2} \beta = 180\degree

\therefore  \frac{5}{2} \beta = 180\degree

\therefore   \beta = 180\degree\times \frac{2}{5}

\therefore   \beta = 72\degree

\implies   \alpha= \frac{3}{2} \times 72\degree= 108\degree

So,

\alpha = 108\degree, \: \beta = 72\degree

7 0
3 years ago
What is the area of the triangle below (in square units)?<br> 10 mm<br> 90mm
bixtya [17]

Answer:

450

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
In 1990 the average family income was about $ 39 , 000 , and in 2010 it was about $ 70 , 768 . Let x = 0 represent 1990, x = 1 r
iren2701 [21]

Answer:

<em />f(x) = 1588.4x + 39000<em />

f(15) = 62826

Step-by-step explanation:

Given

In 1990; Income= $39000

In 2010; Income= $70768

Solving (a): An equation in form of f(x) = ax + b

First, we need to determine the slope, a

a = \frac{y_2 - y_1}{x_2 - x_1}

Taking y as income and x as year index.

When x = 0; y = 39000

When x = 20; y = 70768

Substitute these values in the above formula

a = \frac{70768 - 39000}{20 - 0}

a = \frac{31768}{20}

a = 1588.4

Next, is to determine the formula using:

y - y_1 = a(x - x_1)

<em>Considering :When x = 0; y = 39000, we have</em>

<em />y - 39000 = 1588.4(x - 0)<em />

<em />y - 39000 = 1588.4x<em />

<em>Make y the subject of formula</em>

<em />y = 1588.4x + 39000<em />

<em />

<em>Express y as a function of x</em>

<em />f(x) = 1588.4x + 39000<em />

Solving (b): Income in 2005

<em>In 2005, x = 15</em>

So:

f(x) = 1588.4x + 39000 becomes

f(15) = 1588.4 * 15 + 39000

f(15) = 62826

3 0
3 years ago
Solve 1 third of 18 using a tape diagram
Sedbober [7]
Draw a tape diagram and make 18 sections on the diagram. Shade in the first section and that’s 1/18
5 0
3 years ago
Determine the equation of a parabola that intersects the x-axis at points (-2, 0) and (5, 0).
SOVA2 [1]

Answer:

B. y = x² - 3x - 10

Step-by-step explanation:

<em>good luck, i hope this helps :)</em>

3 0
2 years ago
Read 2 more answers
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