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2 years ago

ZABD and DBC are supplementary angles

Mathematics

2 answers:

Papessa [141]2 years ago

8 0

<x=102°

Step-by-step explanation:

<x+78=180 being supplementary

<x=180-78=102

Levart [38]2 years ago

5 0

Answer:

Step-by-step explanation:

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Find the equation of the line parallel to y=x-3 that also intersects the points (3,-2)

Reika [66]

Answer:

y = x - 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = x - 3 ← is in slope- intercept form

with slope m = 1

• Parallel lines have equal slopes, hence

y = x + c ← is the partial equation of the parallel line.

To find c substitute (3, - 2) into the partial equation

- 2 = 3 + c ⇒ c = - 2 - 3 = - 5

y = x - 5 ← equation of parallel line

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2 years ago

(3x+1)−(6x−4) A.)−3x+5 B.)2x C.)3x−3 D.)−3x−3

lorasvet [3.4K]

Hope this helped!

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2 years ago

You roll a 6-sided die. What is P(prime)? Write your answer as a percentage. Submit

Cloud [144]

You roll a 6-sided die. The probability of getting prime is 50%.

Solution:

Given, that we have rolled a 6 – sided die.

We have to find the P(prime) as percentage.

Now, It means that we have to find the probability of getting a prime number on the face.

On rolling a six sided die, the total possible outcomes are 1, 2, 3, 4, 5, 6

Number of possible outcomes = 6

We have to get a prime number on rolling a die

The prime numbers in possible outcomes are 2, 3, 5

So number of favorable outcomes = 3

$\text {Probability of an event as percentage }=\frac{\text { favourable number of outcomes }}{\text { total number of outcomes }} \times 100$

$\text {Probability of getting prime number on face of die }=\frac{3}{6} \times 100$

$\begin{array}{l}{\text { P(prime) }=\frac{1}{2} \times 100} \\\\ {\text { P(prime) }=50 \%}\end{array}$

Hence, probability of getting prime is 50%.

3 0

2 years ago

Which of these are correct relationships?

larisa86 [58]

I will assume here that we know the molar mass of sulfur, which is 32 g/mol (around).

this means that 0.5 moles will have half of it - the first option is correct!
8 moles will have 8 times this, which is 256 - the second option is not correct!
3 moles would have 96 grams -third option is not correct!
and we also know that 96 grams can't be 4 moles - so the forth option is not correct either

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2 years ago

The list of ingredients for chocolate brownies given at right will make 16 brownies. Use the list to decide how much of each ing

Elan Coil [88]

Given: Given that for 16 brownies we need

Butter- $\frac{2}{3}$ cups