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VARVARA [1.3K]
3 years ago
9

What is the value of a? 14 – 2a = 4a – 16

Mathematics
2 answers:
VladimirAG [237]3 years ago
3 0
14 - 2x = 4a - 16

First, add 2a to both sides. / Your problem should look like: 14 = 4a - 16 + 2a
Second, simplify 4a - 16 + 2a to get 6a - 16. / Your problem should look like: 14 = 6a - 16
Third, add 16 to both sides. / Your problem should look like: 14 + 16 = 6a
Fourth, add 14 + 16 to get 30. / Your problem should look like: 30 = 6a
Fifth, divide both sides by 6. / Your problem should look like: \frac{30}{6}  = a
Sixth, 6 goes into 5 to get 30, so simplify \frac{30}{6} to 5. / Your problem should look like: 5 = a
Seventh, switch your sides. / Your problem should look like: a = 5

Answer: a = 5
fiasKO [112]3 years ago
3 0

14−2a=4a−16

14+−2a=4a+−16

−2a+14=4a−16

Subtract 4a from both sides.

−2a+14−4a=4a−16−4a

−6a+14=−16

Subtract 14 from both sides.

−6a+14−14=−16−14

−6a=−30

Divide both sides by -6.

−6a/−6=−30/−6

a=5

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Certain or very likely its one of those two i hope i helped
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3 years ago
Find ten rational numbers between -2/3 and 2/3
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Answer:

-2/3= -20/30

2/3 = 20/30

so rational numbers in between are

-19/30, -18/30, -17/30,........ -1/30, 0,+1/30,.............+17/30, +18/30, +19/30

so you can write as many as you like

8 0
3 years ago
Find the arc length of the semicircle. Either enter an exact answer in terms of π or use 3.14 for π and enter your answer as a d
PSYCHO15rus [73]

Answer:

Step-by-step explanation:

The formula for the length of an arc is s = rФ.

Thus, the arc length of a semicircle is S = rФ/2.

Here the radius is 5 (half the diameter), and so in this case the arc length is

S = (5 units)π/2, or S = (5/2)(3.14) units, or approximately S = 7.85 units

6 0
3 years ago
Combine like terms. y + 7 + 4(y + 3) =
bearhunter [10]

Answer:

5y+19

Step-by-step explanation:

should be the answer

8 0
2 years ago
Proving trapezoid theorems Geometry
Artist 52 [7]

Answer:

ΔABD ≅ ΔACD by SAS, therefore;

\overline {BD} \cong \overline {CA} by CPCTC

Step-by-step explanation:

The two column proof is presented as follows;

Statement {}                   Reason

ABCD is a trapezoid {}  Given

\overline {BA} \cong \overline {CD}  {}                   Given

\overline {BC} \parallel \overline {AD}   {}                   Definition of a trapezoid

ABCD is an isosceles trapezoid  {}    Left and right leg are equal

∠BAD ≅ ∠CDA  {}          Base angle of an isosceles trapezoid are congruent

\overline {AD} \cong \overline {AD}   {}                  Reflexive property

ΔABD ≅ ΔACD   {}         By SAS rule of congruency

\overline {BD} \cong \overline {CA}   {}                  CPCTC

CPCTC; Congruent Parts of Congruent Triangles are Congruent

SAS; Side Angle Side rule of congruency

8 0
2 years ago
Read 2 more answers
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