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4 years ago

Please help!!! Will give brainly!! 50 points

Mathematics

2 answers:

AleksAgata [21]4 years ago

6 0

2. Angle Addition Postulate as they are adding both angles

3. 60 + 40 = m <ABC because it's a substitution

4. 100 = m <ABC as it is simplified already

5. Definition of obtuse angle

kolezko [41]4 years ago

4 0

Answer:

Definition of obtuse angle

Step-by-step explanation:

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Convert 96 ounces into pounds and explain how you determined the answer

stiks02 [169]

Hi there.

To convert ounces to pounds, we use the formula $\frac{oz}{16}$

$\frac{96 oz}{16}$ gives us 6 lbs.

~

8 0

3 years ago

Solve the literal equation a + 4b = 5b - 3a for a

frez [133]

Simplifying
a + 4b = 5b + -3a

Reorder the terms:
a + 4b = -3a + 5b

Solving
a + 4b = -3a + 5b

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '3a' to each side of the equation.
a + 3a + 4b = -3a + 3a + 5b

Combine like terms: a + 3a = 4a
4a + 4b = -3a + 3a + 5b

Combine like terms: -3a + 3a = 0
4a + 4b = 0 + 5b
4a + 4b = 5b

Add '-4b' to each side of the equation.
4a + 4b + -4b = 5b + -4b

Combine like terms: 4b + -4b = 0
4a + 0 = 5b + -4b
4a = 5b + -4b

Combine like terms: 5b + -4b = 1b
4a = 1b

Divide each side by '4'.
a = 0.25b

Simplifying
a = 0.25b

6 0

2 years ago

The quotient of a number x and −1.5 is 21

Andru [333]

Answer:

x = -31.5

Explanation:

We are given that the quotient of x and -1.5 is 21

This means that:

$\frac{x}{-1.5} =21$

To get the value of x, we will multiply both sides of the equation by -1.5

This means that:

$\frac{x}{-1.5} * -1.5=21*-1.5$

x = -31.5

Note that the value of x must be negative because we are dividing by a negative number and the quotient is positive (-ve/-ve is +ve and +ve/-ve is -ve)

Hope this helps :)

3 0

3 years ago

SURFACE AREAS - PYRAMIDS?

Bond [772]

The total surface area consists of the base area and the surface area (the area of all lateral faces). The base is a hexagon with side a=3 cm.

$A_{hexagon}=6A_{triangle}=6\cdot \dfrac{1}{2} \cdot \dfrac{a^2\sqrt{3}}{4} =\dfrac{3}{4} \cdot 3^2\cdot \sqrt{3}=\dfrac{27\sqrt{3}}{4}$ sq. cm.

Each lateral face is an isosceles triangle with height h=12 cm and base a=3 cm. The area of one such lateral triangle is

$A_{lateral}=\dfrac{1}{2}\cdot h\cdot a= \dfrac{1}{2}\cdot 12\cdot 3=18$ sq. cm.

Then the total surface area is:

$A_{total}= \dfrac{27\sqrt{3}}{4} +6\cdot 18=\dfrac{27\sqrt{3}}{4} +108=11.7+108=119.7$ sq. cm.

Answer: 119.7 sq. cm.

7 0

4 years ago

What two numbers give you -42 and 1 ? This is 10 points, please answer!!

liberstina [14]

$- 6 \times 7 = - 42 \\ - 6 + 7 = 1$

7 0

3 years ago