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spayn [35]
3 years ago
9

A carpenter cuts the corners of a rectangle to make the trapezoid shown. What is the value of x? Please help I need to pass loll

ll

Mathematics
1 answer:
DiKsa [7]3 years ago
3 0

Answer:

x = 11

Step-by-step explanation:

The missing diagram is shown in the attachment.

A trapezoid is a quadrilateral with just one pair of parallel sides.

The pair of sides that are parallel are the bases.

The pair of angles formed on the same side of the base add up to 180°.

This implies that:

9x \degree + (7x + 4) \degree = 180 \degree

9x + 7x = 180 - 4

16x = 176

x =  \frac{176}{16}

\therefore \: x = 11

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number from 1 to 99 is written on a card making a pack of 99 cards. What is the probability of randomly selecting a card where t
andriy [413]

Answer:

(19/99) = 0.192

Step-by-step explanation:

Numbers 1 to 99, that is 99 numbers (obtained through the equation for the nth term of an AP)

L = a + (n-1) d

L = nth term = 99

a = first term = 1

n = number of terms = ?

d = common difference = 1

99 = 1 + (n-1)1

n = 99

Sample space = 99

The numbers that include at least, a 1 are

1, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 21, 31, 41, 51, 61, 71, 81, 91

19 numbers.

Probability of randomly selecting a card where the number contains at least one digit 1 from 1 to 99 = (19/99) = 0.192

Hope this Helps!!!

3 0
4 years ago
suppose that a biologist is watching a trail known for wildebeest migration. During the first minute, 24 wildebeests migrated pa
Monica [59]

Answer:

=1050 wildebeests

Step-by-step explanation:

We can form an arithmetic series for the wildebeest migration.

Sₙ=n/2(2a+(n-1)d) where  n is the number of terms, d is the common difference and a is the first term.

a=24

n=20

d=3

Sₙ=(20/2)(2(24)+(20-1)3)

Sₙ=10(48+57)

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6 0
4 years ago
What is the length of the hypotenuse of triangle STU?
dolphi86 [110]

Answer:

C) 15

Step-by-step explanation:

This is following the 30-60-90 triangle ratio which goes x (leg) ,x sqrt 3 (leg), 2x (hypotenuse).

So multiply 7 1/2 by 2 to get 15

5 0
3 years ago
Weekly wages at a certain factory are normally distributed with a mean of $400 and a standard deviation of $50. Find the probabi
AlekseyPX

Answer:

$80

Step-by-step explanation:

400÷50= 80 which is the weekly rate of wages

7 0
3 years ago
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3 times n^2 times p^5 + 4 times (n -8)^2 n= -3 p= 1
faust18 [17]
3 (-3^2 × 1^5) + 4 (-3 - 8)^2
3 (9 × 1) = 27 + 4 (121) = 484
27 + 484 = 511
6 0
3 years ago
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