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Serjik [45]
3 years ago
11

Find the value of x, giving reasons for your answer:

Mathematics
1 answer:
Dmitry [639]3 years ago
7 0

Answer:

145 degrees.

Step-by-step explanation:

Because the lines are the same length on each half we know that the corner opposite to the right angle is also a rangle. In a quadrilateral (4 sided shape) the angles should add up to 360 degrees. We now have the total as x + 35 + 90 + 90 = 360 which when rearranged gives x = 145 degrees.

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Passes through (2,-5), parallel to with (1,3) and (4,5)
JulijaS [17]

so first you need to find the slop between (1,3) and (4,5)

5-3/ 4-1 = 2/ 3= m

using that slope you put it into the slope intercept formula

y=mx+b

use the coordinate (2,-5)

-5= 2/3 (2)+b

-5= 1.33+b            subtract 1.33 on both sides

-6.33=b

plug b and m into the slope intercept formula

ANSWER:  y=2/3x-6.33


6 0
3 years ago
When I visit my brother it is a 532 mile round trip. If I visit my brother once a month how many miles would I travel in a year
almond37 [142]

Answe12800 miles

Step-by-step explanation:a year is 12 months, and mile round trip means there and back. so 532x24 for the 24 trips that equals 12768. 12768 rounded to the nearest hundreds is 12800

5 0
3 years ago
Patrick drank 3/4 liter of water Monday before jogging. He drank 4/5 liter of water after his jog. How much water did Patrick dr
AlexFokin [52]

Answer: 1¹¹/₂₀ litres

Step-by-step explanation:

The fractions need to be added.

Find a common multiple for them.

Common multiple = 20

Divide the multiple by the denominator of the fraction and multiply the numerator by the result you get:

= \frac{15 + 16}{20} \\\\= \frac{31}{20} \\\\= 1\frac{11}{20}

= 1¹¹/₂₀ litres

3 0
3 years ago
Last week, your delivery runs took 7 hours 12 minutes on Monday, 6 hours 46 minutes on Wednesday, and 6 hours 53 minutes on Frid
77julia77 [94]
7 hrs   12 minutes
6 hrs    46 minutes
6 hrs    53 minutes
--------------------------add
19 hrs  111 minutes ......... = (19 * 60) + 111 = 1140 + 111 = 1251 minutes

1251 / 3 = 417 minutes <== her average delivery....or 6 hrs 57 minutes
7 0
3 years ago
A bag contains yellow and blue blocks in the ratio 1:3 There are 8 more blue blocks than yellow blocks. (a) How many yellow bloc
Tems11 [23]

Answer:

Step-by-step explanation:

A bag contains yellow and blue blocks in the ratio 1:3

Sum of Proportion = 1 + 3 = 4

There are 8 more blue blocks than yellow blocks.

b = y + 8

y = b - 8

(a) How many yellow blocks are there?

For yellow block

= 1/4 × x = ( b - 8)

(b) How many blue blocks are there?

3/4 × x = ( y + 8)

3 0
3 years ago
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