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charle [14.2K]
3 years ago
5

Angles A and B are supplementary. Angle A has a measure of 80 degrees. What is the measure of angle B?

Mathematics
2 answers:
soldi70 [24.7K]3 years ago
6 0

Answer: 100

Step-by-step explanation:

just did it

Aleonysh [2.5K]3 years ago
4 0
Supplementary angles, when added, equal 180 degrees

so < A + < B = 180...and if < A = 80
     80 + < B = 180
     < B = 180 - 80
    < B = 100 <==
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A prism with a heart-shaped base is sliced parallel to the base. What shape is formed?
e-lub [12.9K]

The shape formed, when a prism with a heart-shaped base is sliced parallel to the base, will be congruent to its base. Hence, it will also be <u>heart-shaped</u>.

A prism is a polyhedron made up of n parallelogram faces that connect the n-sided polygon base, the second base, which is a translated duplicate of the first base, and the n faces. The bases are translated into all cross-sections that are parallel to them.

In the question, we are informed that a prism with a heart-shaped base is sliced parallel to the base.

We are asked what shape is formed.

From the above discussion, we know that the bases are translated into all cross-sections that are parallel to them, that is, all cross-sections parallel to the base, will be congruent to the base.

Thus, the shape formed, when a prism with a heart-shaped base is sliced parallel to the base, will be congruent to its base. Hence, it will also be <u>heart-shaped</u>.

Learn more about prisms at

brainly.com/question/3594469

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8 0
2 years ago
What is the side length of the square shown Below. Please SHOW your work.
barxatty [35]

Answer:

side length = (x+11)

Step-by-step explanation:

area = x^2+22x+121

side length = sq rt (x^2+22x+121)

side length = (x+11)

4 0
3 years ago
Read 2 more answers
A building's basement is 12 feet below ground. If the total length of the building from basement to roof is 62 feet, what is the
Effectus [21]

Answer:

62-12=50

Step-by-step explanation:

hope that helps!

5 0
3 years ago
Suppose the time a child spends waiting at for the bus as a school bus stop is exponentially distributed with mean 7 minutes. De
Gala2k [10]

Answer:

The probability that the child must wait between 6 and 9 minutes on the bus stop on a given morning is 0.148.

Step-by-step explanation:

Let the random variable <em>X</em> represent the time a child spends waiting at for the bus as a school bus stop.

The random variable <em>X</em> is exponentially distributed with mean 7 minutes.

Then the parameter of the distribution is,\lambda=\frac{1}{\mu}=\frac{1}{7}.

The probability density function of <em>X</em> is:

f_{X}(x)=\lambda\cdot e^{-\lambda x};\ x>0,\ \lambda>0

Compute the probability that the child must wait between 6 and 9 minutes on the bus stop on a given morning as follows:

P(6\leq X\leq 9)=\int\limits^{9}_{6} {\lambda\cdot e^{-\lambda x}} \, dx

                      =\int\limits^{9}_{6} {\frac{1}{7}\cdot e^{-\frac{1}{7} \cdot x}} \, dx \\\\=\frac{1}{7}\cdot \int\limits^{9}_{6} {e^{-\frac{1}{7} \cdot x}} \, dx \\\\=[-e^{-\frac{1}{7} \cdot x}]^{9}_{6}\\\\=e^{-\frac{1}{7} \cdot 6}-e^{-\frac{1}{7} \cdot 9}\\\\=0.424373-0.276453\\\\=0.14792\\\\\approx 0.148

Thus, the probability that the child must wait between 6 and 9 minutes on the bus stop on a given morning is 0.148.

6 0
3 years ago
15x+12=45+4x<br> whats x?
saul85 [17]

<span>15x+12=45+4x </span>⇒15x - 4x = 45 - 12 ⇒ 11x = 33 ⇒ x = 3


4 0
3 years ago
Read 2 more answers
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