<h3>Answer: 7 goes in the blank space</h3>
The range of values for x is 2 < x < 7
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Explanation:
The hinge theorem says that the larger the opposite side is, the larger the angle will be.
AD = 11, DC = 8
Since AD > DC, this means angle ABD > angle DBC.
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angle ABD > angle DBC
20 > 4x-8
20+8 > 4x-8+8 ... add 8 to both sides
28 > 4x
4x < 28 ... flip both sides and the inequality sign
4x/4 < 28/4 ... divide both sides by 4
x < 7
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At the same time, the angle 4x-8 cannot be 0 or negative.
So we say 4x-8 > 0. Let's solve this for x.
4x-8 > 0
4x-8+8 > 0+8 ... add 8 to both sides
4x > 8
4x/4 > 8/4 ... divide both sides by 4
x > 2
2 < x ... flip both sides and the inequality sign
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We have 2 < x and x < 7. Both of these combine to the compound inequality 2 < x < 7
We can pick any value between 2 and 7 as long as we dont pick x = 2 or we dont pick x = 7.
Daniela invested a total of $50,00, some in a certificate of deposit (cd) and the reminder in bonds. The amount invested in bonds was $5000 more than twice the amount she put into cd. How much did she invest in each account ?
Answer:
x = 9
Step-by-step explanation:
-2x + 3 = -15
-2x = -18
x = 9
The GCF of 96x² and 88x is 8x.
Answer:
35/8
Step-by-step explanation:
4×8= 32 plus the 3/8 equals 35/8
hope it helps
