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Lesechka [4]
2 years ago
13

Let AB // ED , AB = 10 units, AC = 12 units, and DE = 5 units. What is the length of AD?​

Mathematics
1 answer:
zheka24 [161]2 years ago
4 0

Answer:

length of CD = 18 units.

Step-by-step explanation:

In ΔABC and ΔCED,

AB║DE and AD is a transversal line,

m∠ABC = m∠CED [Alternate interior angles]

m∠ACB = m∠DCE [Vertically opposite angles]

ΔABC ~ ΔCED [By AA property of similarity]

Therefore, by the property of similar triangles, corresponding sides will be proportional.

\frac{AB}{DE}= \frac{AC}{DC}

\frac{10}{5}=\frac{12}{CD}

CD = 6

Since, AD = AC + CD

AD = 12 + 6

     = 18 units

Therefore, length of CD = 18 units.

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the graph of a line has a slope of -2/3 and a y intercept of (0,2). rewrite the equation in standard for (Ax+By=C) with a positi
sergiy2304 [10]

Answer:

2x + 3y = 6

Step-by-step explanation:

obtain the equation in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

here m = - \frac{2}{3} and c = 2

y = - \frac{2}{3} x + 2 ← in slope-intercept form

multiply all terms by 3 to eliminate the fraction

3y = - 2x + 6 ( add 2x to both sides )

2x + 3y = 6 ← in standard form


8 0
2 years ago
Two mechanics worked on a car. the first mechanic worked for 15 hours, and the second mechanic worked for 5 hours. together they
Stells [14]
Let 
x----------> the first mechanic rates
y----------> the second mechanic rates

we know that
x+y=165
15x+5y=1775

using a graph tool
see the attached figure

the solution is
x=95
y=70

the answer is

the rates of the first mechanic is 95
the rates of the second mechanic is 70

4 0
3 years ago
If you break the illustration below into four groups of stars to smiley faces, what would be the ratio?
klio [65]

Answer:

A

Step-by-step explanation:

there are 3 stars to 1 smiley face

im sorry if I was wrong.

8 0
2 years ago
Read 2 more answers
What is the equation of the line that has a slope of 0 and a y-intercept of -2/3
BartSMP [9]

Answer:

y = x  -  \frac{2}{3}

from

y = mx + c

Step-by-step explanation:

since the gradient of the line is 0

8 0
3 years ago
80% of z is equal to 100. What is the value of x
Diano4ka-milaya [45]

Answer:

x = 125

80x = 100

----

100

80x = 10000

x = 10000

--------

80

x = 125

8 0
2 years ago
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