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Dominik [7]
3 years ago
13

PLZZ HELPP ASAP ON THIS

Mathematics
1 answer:
umka21 [38]3 years ago
5 0

Answer:

a. x = 4    b. x = 7

Step-by-step explanation:

a. They are both congruent right angles because of the alternate exterior angles theorem

90-4 = 86

86/21 = 4

b. The angles are congruent because of the corresponding angles postulate

75+2 = 77

77/11 = 7

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Find the base of the triangle whose area is 2.4 cm² and who is height is 1.6 cm
Karo-lina-s [1.5K]

Formula of the area of triangle: (BxH)/2

So:

1.6B/2 = 2.4

Multiply both sides by 2:

1.6B = 4.8

Divide both sides by 1.6:

B = 3

6 0
4 years ago
Suppose your statistics professor reports test grades as​ z-scores, and you got a score of 2.492.49 on an exam. ​a) Write a sent
kolezko [41]

Answer:

a) Option C) The score was 2.49 standard deviations higher than the mean score in the class.

b) 2.3%

Step-by-step explanation:

a) We are given that the distribution of test grades is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

\displaystyle\frac{x-\mu}{\sigma} = 2.49\\\\x - \mu = 2.49\sigma\\x = \mu + 2.49\sigma

Option C) The score was 2.49 standard deviations higher than the mean score in the class.

b) The z-score for a particular score is -2.

We have to evaluate

P(z < -2)

Calculating the value from normal z-table.

P(z < -2) = 0.023

Thus, 2.3% of  of the class scored lower than my​ friend.

6 0
3 years ago
If 95 % of the students are present in a school and the number of absent students is 25, find the total number of students in th
Karolina [17]
100 minus 95 equals 5
25 equals 5%
100 divided by 5 equals 20
20 times 25 equals 500
500 minus 25 equals 475
Answer:475 students present/ 500 students total in school
8 0
4 years ago
The number of counties in state A and the number of counties in state B are consecutive even integers whose sum is 138 138. If s
ss7ja [257]

Answer:

The number of counties in state A are 70.

The number of counties in state B are 68.

Step-by-step explanation:

The number of counties in state A and the number of counties in state B are consecutive even integers whose sum is 138.

Let the two consecutive even integers be x and x+2.

As their sum is 138, we can denote this mathematically as :

x+x+2=138

=> 2x+2=138

=> 2x=138-2

=> 2x=136

Now, we get x = 68

And x+2=68+2 = 70

Hence, the two numbers are 68 and 70.

So, the number of counties in state A are 70.

The number of counties in state B are 68.

5 0
3 years ago
Read 2 more answers
Consider the steps for solving 3x2 – 42x + 9 = -5 for x by completing the square.
Karolina [17]
The answer to this question will be C
3 0
4 years ago
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