For what value of x is the equation 8x-2(x-7)=20 true?
1 answer:
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Answer:
The value of AD=1 and DC=3
Step-by-step explanation:
Given: ΔABC, D∈ AC m∠ABC=m∠BDA, AB=2, AC=4
Diagram: Please find attachment.
To find: AD=? and DC=?
Calculation:
In ΔABC and ΔADB
∠ABC=∠ADB (Given)
∠A=∠A (Common)
Therefore, ΔABC ≈ ΔADB by AA similarity
If two triangles are similar then ratio their corresponding sides are equal
Therefore,
where, AD=?, AB=2, AC=4
AD=1
AD+DC=AC
1+DC=4
DC=4-1
DC=3
Hence, The value of AD=1 and DC=3
Answer:
A(2/9, 1/3)
B(2/3, -1/3)
slope = -1.5
Step-by-step explanation:
A graph can show the coordinates of interest: A(2/9, 1/3); B(2/3, -1/3).
Rearranging the equation to slope-intercept form, we have ...
3y = -4.5x +2
y = -1.5x +2/3
The slope is -1.5.
