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3 years ago

∠A and ∠B are complementary. If m∠B = 64° , what is the measure of ∠A?

Mathematics

2 answers:

umka21 [38]3 years ago

7 0

Answer:

The measure of $\angle A$ :

$\angle A = 26\textdegree$

Step-by-step explanation:

Since both $\angle A$ and $\angle B$ are complementary (Which they both add up to 90°), and you want to find the measure of

Measure of $\angle A$ : unknown

Measure of $\angle B$ : 64°

Finding the measure of $\angle A$ :

$90 - 64 = 26$

$\angle A = 26\textdegree$

So, the measure for $\angle A$ is $26\textdegree$ .

Pavel [41]3 years ago

4 0

Answer: 26

Step-by-step explanation:

Two Angles are Complementary when they add up to 90 degrees (a Right Angle). Then

∠A + ∠B = 90

∠A =90- ∠B

∠A = 26

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aev [14]

The length of the rug is 4 ft.

The width of the rug is 2.5 ft.

Explanation:

The area of the rug is 10 ft.

The length of the rug be l.

Let us convert the inches to feet.

Thus, $18 inches = 1.5 ft$

Thus, the length of the rug is $l=1.5+w$

Let the width of the rug be w.

Substituting these values in the formula of area of the rectangle, we get,

$A=length\times width$

$10=(1.5+w)(w)\\10=1.5w+w^2\\w^2+1.5w-10=0$

Solving the expression using the quadratic formula,

$w=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Substituting the values, we have,

$$w=\frac{-15 \pm \sqrt{15^{2}-4 \cdot 10(-100)}}{2 \cdot 10}\\$

$w=\frac{-15 \pm \sqrt{4225}}{20}$

$w=\frac{-15 \pm 65}{2 0}$

Thus,

$w=\frac{-15 + 65}{2 0}\\w=\frac{50}{20} \\w=2.5$ and $w=\frac{-15 - 65}{2 0}\\w=\frac{-80}{20} \\w=-4$

Since, the value of w cannot be negative, the value of w is 2.5ft

Thus, the width of the rug is 2.5ft

Substituting $w=2.5$ in $l=1.5+w$ , we get,

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Thus, the length of the rug is 4 ft.

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3 years ago

Which is a true statement about conjunctions?

m_a_m_a [10]

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Answer:

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