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2 years ago

Work out the value of angle x

Mathematics

1 answer:

wolverine [178]2 years ago

8 0

Answer:

x = 45°

Step-by-step explanation:

the triangle has 2 congruent sides and is therefore isosceles with the base angles being congruent, both x

the sum of the 3 angles = 180° , then

x + x + 90° = 180° ( subtract 90° from both sides )

2x = 90° ( divide both sides by 2 )

x = 45°

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A teacher surveyed her class after they had taken a vocabulary test. Eighteen of the students claimed they had studied

maks197457 [2]

Answer:

C and E are correct

Step-by-step explanation:

We have to calculate mean , median and mode for both groups first:

So,

For the group that studied:

Mean = 92.61

Median=93.5

Mode = 100

For the group that didn't studied:

Mean = 76

Median = 79.5

Mode = No Mode

So,

For statement A:

the difference between means is: 92.61-76=16.61

So the statement is incorrect.

B: There is no mode of the group that studied.

This is not true as the group has a mode of 100

C.The median of the group that did not study is less than 80.

This is true as the median of the group that didn't study is 79.5.

D. The median of the group that studied is over 95

False as the median is less than 95.

E. In general, those students that studied scored much higher than those students that did not study.

As the mean of the group that studied is much more than the group that didn't study so the statement is true ..

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3 years ago

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sveticcg [70]

Answer:

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Step-by-step explanation:

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3 years ago

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RUDIKE [14]

A is the answer 5 times the sum of 3 and 4 then subtract 4

4 0

3 years ago

Julie has 5 cherry lollipops,1 lime lollipops, and 2 grape lollipops in a bag. She is going to select one lollipop, replace the

Georgia [21]

Answer: $\dfrac{15}{32}$

Step-by-step explanation:

Given : The number of cherry lollipop = 5

The total number of lollipop = 8

the number of lollipops other than grape =6

The probability of selecting a cherry lollipop is given by :_

$\text{P(Cherry)}=\dfrac{5}{8}$

The probability of selecting a lollipop other than grape is given by :_

$\text{P(Other than grape)}=\dfrac{6}{8}$

Since, there is replacement , then the events are independent of each other.

Now, the probability that Julie will select a cherry lollipop and then a lollipop other than grape is given by :-

$\text{P(Cherry and other than grape)}=\dfrac{5}{8}\times\dfrac{6}{8}=\dfrac{15}{32}$

Hence, the required probability = $\dfrac{15}{32}$

3 0

3 years ago

The coordinates of the vertices of a quadrilateral are (8, 11) (11, 7) (8, 3) (2, 3). What is the area, in square units, of the

disa [49]

Check the picture below.

so the quadrilateral is really just a parallelogram below a triangle, so let's simply get the area of each and sum them up.

$\stackrel{\textit{\Large Areas}}{\stackrel{parallelogram}{(6)(4)}~~ + ~~\stackrel{triangle}{\cfrac{1}{2}(6)(4)}}\implies 24~~ + ~~12\implies 36$

6 0

2 years ago