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3 years ago

4. In the diagram, ABCD is a straight line. Calculate the values of x and y.

Mathematics

2 answers:

kykrilka [37]3 years ago

8 0

Answer:

x is 108° and y is 144°

Step-by-step explanation:

for x:

$x + 36 \degree + 36 \degree = 180 \degree \\ \{isoceles \: triangle \: angle \: sum \} \\ x + 72 \degree = 180 \degree \\ x = 180 \degree - 72 \degree \\ x = 108 \degree$

for y:

$y + 36 \degree = 180 \degree \\ \{straight \: line \: angles \} \\ y = 180\degree - 36\degree \\ y = 144\degree$

Artemon [7]3 years ago

3 0

Answer:

X+36+36=180

X+72=180

X=180-72

X=108

36+BC^D=180

BC^D=180-36

BC^D=144

BC^D corresponds with y

Therefore y=144

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Which of the following steps is included in the construction of a perpendicular line through a point on a line?

Molodets [167]

Answer:

Connect arcs that are above the original line with a straightedge ⇒ 2nd

Step-by-step explanation:

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3 years ago

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Firlakuza [10]

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3 years ago

Read 2 more answers

HELPPP!!!!! Plzzzz!!

Lina20 [59]

Given:

Cards labelled 1, 3, 5, 6, 8 and 9.

A card is drawn and not replaced. Then a second card is drawn at random.

To find:

The probability of drawing 2 even numbers.

Solution:

We have,

Even number cards = 6, 8

Odd numbers cards = 1, 3, 5, 9

Total cards = 1, 3, 5, 6, 8 and 9

Number of even cards = 2

Number of total cards = 6

So, the probability of getting an even card in first draw is:

$P_1=\dfrac{\text{Number of even cards}}{\text{Number of total cards}}$

$P_1=\dfrac{2}{6}$

$P_1=\dfrac{1}{3}$

Now,

Number of remaining even cards = 1

Number of remaining cards = 5

So, the probability of getting an even card in second draw is:

$P_2=\dfrac{\text{Number of remaining even cards}}{\text{Number of remaining total cards}}$

$P_2=\dfrac{1}{5}$

The probability of drawing 2 even numbers is:

$P=P_1\times P_2$

$P=\dfrac{1}{3}\times \dfrac{1}{5}$

$P=\dfrac{1}{15}$

Therefore, the probability of drawing 2 even numbers is $\dfrac{1}{15}$ . Hence, the correct option is (b).

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3 years ago

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valentinak56 [21]

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3 years ago

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NemiM [27]

Answer:

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Step-by-step explanation:

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4 0

3 years ago

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4. In the diagram, ABCD is a straight line. Calculate the values of x and y. ​

4. In the diagram, ABCD is a straight line. Calculate the values of x and y.