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Margarita [4]
3 years ago
9

Work out the size of angle x

Mathematics
1 answer:
Ksju [112]3 years ago
6 0

Answer:

35 deg

Step-by-step explanation:

since ABC is straight line. angle ABC should be 180 deg. implies

45 + 100 + x = 180 \\ x = 180 - 100 - 45 \\ x = 35 \: degree

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What is the length of the base of a right triangle with an area of 15 square meters and a height of 3 meters? A. 5 m B. 10 m C.
Rzqust [24]

Answer:

B.10

Step-by-step explanation:

15=1/2b(3)

30=3b

10= base

4 0
3 years ago
Which of the following coordinates exists on the line y = 3x + 1?
Natalija [7]

We are given

equation of line as

y=3x+1

we will check each options

option-A:

we can plug (3,1)

x=3 and y=1

1=3*3+1

1=10

we can see that

they are not equal

so, this is FALSE

option-B:

we can plug (-1,-2)

x=-1 and y=-2

-2=3*-1+1

-2=-2

we can see that

they are equal

so, this is TRUE

option-C:

we can plug (-3,4)

x=-3 and y=4

4=3*-3+1

4=-8

we can see that

they are not equal

so, this is FALSE

option-D:

we can plug (2,6)

x=2 and y=6

6=3*2+1

6=7

we can see that

they are not equal

so, this is FALSE


6 0
3 years ago
Read 2 more answers
a building with a height of 32m casts a shadow that is 20m long. a person standing casts a shadow that is 1.2 m long how tall is
wlad13 [49]
Most of the information's required for solving the question is already given in the question.
Height of the building that casts a shadow of 20 m = 32 m
Then
Height of the man that casts a shadow of 1.2 m = (32/20) * 1.2 meter
                                                                             = 3.2 * 1.2 meter
                                                                             = 3.84 meter
So the actual height of the person casting a shadow of 1.2 meter is 3.84 meters. I hope that the procedure used for solving the problem is easy enough for you to understand. You can definitely use this method in future for solving problems of similar type without requiring any additional help from outside.

6 0
4 years ago
What is the probability of rolling a dice and getting either a 1 or 2 and flipping a coin and getting a heads?
EastWind [94]

Answer:

1/3 and 1/2

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 410 gram setting. It is
frozen [14]

Answer:

The decision rule for rejecting the null hypothesis is t < -1.721

Step-by-step explanation:

A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 410 gram setting. It is believed that the machine is underfilling the bags.

At the null hypothesis, we test if the mean weight of the bag is the desired value of 410, that is:

H_0: \mu = 410

At the alternate hypothesis, we test if the bag is underfilled, that is, the mean weight is below the desired value, so:

H_0: \mu < 410

Type of test:

As we test if the mean is less than a value, we have a left-tailed test.

We have the standard deviation for the sample, which means that the t-distribution is used.

We have 22 - 1 = 21 degrees of freedom, with a level of significance of 0.05.

Using a calculator, the critical value is t_c = -1.721

Determine the decision rule for rejecting the null hypothesis.

We reject the null hypothesis if the test statistic is less than the critical value, so the decision rule for rejecting the null hypothesis is t < -1.721

3 0
3 years ago
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