All categories

3 years ago

Do the opposite angles in a parallelogram have the same measure please explain why

1 answer:

4 0

Yes, opposite angles in a parallelogram always have equal measures. This is a defined property of parallelograms and an easy way to check if the shape is one. Since a parallelogram has 4 angles and the 2 sets of sides are parallel, any 2 adjacent angles have a sum of 180 degrees. Using this, the 2 adjacent angles to any one angle must be opposite to each other and therefore equal.

You might be interested in

The cross-sectional areas of a right triangular prism and a right cylinder are congruent. The right triangular prism has a heigh

Lina20 [59]

Answer:

B.)The volume of the triangular prism is not equal to the volume of the cylinder.

Step-by-step explanation:

Let A be the cross-sectional area of both congruent right triangular prism and right cylinder.

Since the prism has height 2 units, its volume V₁ = 2A.

Since the cylinder has height 6 units, its volume is V₂ = 6A

Dividing V₁/V₂ = 2A/6A =1/3

V₁ = V₂/3.

The volume of the prism is one-third the volume of the cylinder.

So, since the volume of the prism is neither double nor half of the volume of the cylinder nor is it equal to the volume of the cylinder, B is the correct answer.

So, the volume of the triangular prism is not equal to the volume of the cylinder.

5 0

3 years ago

Which graph represents the solution to this inequality? -1/4(12x+8)<2x+11

bekas [8.4K]

Answer:

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

X + y = so please help me out

sladkih [1.3K]

Answer: x + y = z

Example:

Lets say if x 5 and y is 10 then z would equal 15.

5 + 10 = 15

Hope this helped! :)

3 0

3 years ago

Solve each problem using a formula for perimeter or area<br> ill give brainliest!!!!!

Karolina [17]

Answer:

12) s= $\frac{p}{5}$

13) A=wh

14) p=a+b+c

15) A= $\frac{bh}{2}$

16) p-b-c=a

Step-by-step explanation:

12) $\frac{p}{5} =\frac{5s}{5}$

13) $\frac{A}{h}$ =W (multiply both sides by h)

14) take c to the other side of the equation( other side of the equal sign) it becomes a positive value

15) Divide both sides by 2

16) take b + c to the other side of the equation where it becomes -b-c

3 0

3 years ago

Read 2 more answers

Making handcrafted pottery usually takes two major steps:wheel throwing and firing. The time of wheel throwing and thetime of fi

levacccp [35]

Answer:

a) $P(R$

And we can find this probability using the normal standard table or excel and we got:

$P(z$

b) $P(R>110)=P(\frac{R-\mu}{\sigma}>\frac{110-\mu}{\sigma})=P(Z>\frac{110-100}{3.606})=P(Z>2.774)$

And we can find this probability using the complement rule and the normal standard table or excel and we got:

$P(z>2.774)=1-P(Z$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Part a

Let X the random variable that represent the time for the step 1 and Y the time for the step 2, we define the random variable R= X+Y for the total time and the distribution for R assuming independence between X and Y is:

$R \sim N(40+60 = 100,\sqrt{2^2 +3^2}= 3.606 s)$