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Yuri [45]
3 years ago
9

Find the value of x if ∡A and ∡B are supplementary angles.

Mathematics
1 answer:
Elanso [62]3 years ago
3 0

Answer:

x = 30.5

Step-by-step explanation:

Two angles are supplementary when they add up to 180°.

So we know that:

C + D = 180

Supplanting we get:

(3x-44) + (5x-20) = 180

We add up the X's.

8x-44-20 = 180

8x-64 = 180

Then we send 64 to the other side adding:

8x = 180+64

8x = 180+64

8x = 244

And then the 8 goes dividing:

x = 244 : 8

x = 30.5

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A class has 30 students. In how many different ways can five
Rina8888 [55]

there are 142,506 different ways to form the five groups.

3 0
2 years ago
Carlos is five years older than twice his sister's age. Carlos is 13. Which equation and solution correctly identifies his siste
AVprozaik [17]

Answer:

B

Step-by-step explanation:

x=4 so

2x4=8

8+5=13

Carlos's sister is 4 years old, therefore it is B.

4 0
3 years ago
On a scale 5 cm is 12 yards. If the length is 30 yards, how many cm is this on the scale?
Scorpion4ik [409]

Answer:

12.5 cm I would believe

Step-by-step explanation:

30 divided by 12 is 2.5, 5 times 2.5 is 12.5

7 0
3 years ago
To determine drug dosages, doctors estimate a person’s body surface area (BSA) (in meters squared) using the formula BSA = √ h m
krok68 [10]

Answer:

Step-by-step explanation:

Given that a person’s body surface area (BSA) (in meters squared) using the formula

BSA =\frac{\sqrt{hm} }{60}

We are to calculate the rate of change of BSA with respect to mass for a person of constant height h = 180 from m =70 to m =80

For this we calculate BSA for 80 kg and BSA for 70 kg first

Rate of change = BSA(80)-BSA(70)

=\frac{\sqrt{180*80} }{60} -\frac{\sqrt{180*70} }{60} \\=2-1.871\\=0.129

i.e. rate of change per 10 kg is 0.129

No BSA does not increase more rapidly

7 0
3 years ago
What is the equation of the line in point-slope form?
evablogger [386]

Answer:

y +500 = -\frac{1}{5}(x - 100)

Step-by-step explanation:

Given

The attached graph

Required

Determine the equation in point slope form

From the graph, we have the following points;

(x_1,y_1) = (-400,-400)

(x_2,y_2) = (100,-500)

First, we calculate the slope (m):

m = \frac{y_2 - y_1}{x_2 - x_1}

m = \frac{-500 - (-400)}{100- (-400)}

m = \frac{-500 +400}{100+400}

m = \frac{-100}{500}

m = -\frac{1}{5}

The equation is then calculated using:

y - y_2 = m(x - x_2)

Substitute x and y values

y - (-500) = -\frac{1}{5}(x - (100))

y +500 = -\frac{1}{5}(x - 100)

8 0
2 years ago
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