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qaws [65]
2 years ago
15

C

Mathematics
1 answer:
charle [14.2K]2 years ago
6 0

Answer:

  x = 7

Step-by-step explanation:

The final step in this "two-step" linear equation is to multiply both sides by the inverse of the coefficient of x.

__

  \dfrac{4}{3}(x)=\dfrac{28}{3}\qquad\text{given}\\\\\dfrac{3}{4}\cdot\dfrac{4}{3}(x) = \dfrac{3}{4}\cdot \dfrac{28}{3}\qquad\text{multiply by $\dfrac{3}{4}$}\\\\x=\dfrac{28}{4}=7

The solution is x = 7.

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nika2105 [10]

Answer:

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3 0
3 years ago
In triangle △ABC, ∠ABC=90°, BH is an altitude. Find the missing lengths. AB=9, and AC=12, find HC.
pickupchik [31]

Answer:

Step-by-step explanation:

It is given that in △ABC, ∠ABC=90°, BH is an altitude and AB=9 and AC=12, thus using the Pythagoras theorem in △ABC, we get

(AC)^{2}=(AB)^{2}+(BC)^{2}

(12)^{2}=(9)^2+(BC)^2

144=81+(BC)^2

(BC)^2=63

BC=\sqrt{63}

Now, From ΔABC and ΔHBC, we have

∠ABC=∠BHC(each90)

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By AA similarity, ΔABC is similar to ΔHBC.

Thus, using the similarity condition, we get

\frac{HC}{BC}=\frac{BC}{AC}

\frac{HC}{\sqrt{63}}=\frac{\sqrt{63}}{12}

HC=\frac{63}{12}=\frac{21}{4}

7 0
3 years ago
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puteri [66]

Answer:

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Step-by-step explanation:

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6 0
2 years ago
Read 2 more answers
Dennis and Ivy share some sweets between them in the ratio 7:4 Dennis got 42 sweets. How many does ivy get
MrRa [10]

Answer:

Ivy = 24

Step-by-step explanation:

Given

Dennis : Ivy = 7 : 4

Required

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We have:

Dennis : Ivy = 7 : 4 and

Dennis = 42

Substitute 42 for Dennis in Dennis : Ivy = 7 : 4

42 : Ivy = 7 : 4

Convert to fraction

\frac{42}{Ivy} = \frac{7}{4}

Cross Multiply:

Ivy * 7 = 42 * 4

Divide through by 7

\frac{Ivy * 7}{7} = \frac{42 * 4}{7}

Ivy = \frac{42 * 4}{7}

Ivy = 6* 4

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3 years ago
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mash [69]

Answer:

Step-by-step explanation:

.

5 0
3 years ago
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