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3 years ago

I need to know how to analysis this

Mathematics

1 answer:

suter [353]3 years ago

7 0

This triangle is separated into two right triangles
if AB=BD(given) so the hypotenuses are congruent

one of the sides is same between the right triangles (BC)

so according to HL theorem, if the hypotenuses and one of the sides (except hypotenuse) between two or more right triangles are congruent to each other
the triangles are congruent

hope you understand it
good luck

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Help me i have been trying to solve it. plzz

siniylev [52]

Because completementary angles add up to 180 degrees (angle 3 and angle 4)
and interior angles of a triangle will also add up to 180 degrees

if you compare these two facts, then angle 4 equals the 2 non adjacent interior angles

3 0

4 years ago

total number of boys and girls in a class is 42. if the number of girls is 10 more than the boys find the number of boys?? answe

dsp73

Answer:

$\boxed{\sf Total \ number \ of \ boys = 16}$

Given:

Total number of boys and girls in class = 42

Total number of girls = 10 more than the boys

To Find:

Total number of boys

Step-by-step explanation:

Let total number of boys be 'x'

$\sf So, \\ \sf Total \: number \ of \ girls = x + 10 \\ \\ \therefore \\ \sf \implies Total \: number \: of \: boys \: and \: girls \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: = Total \: number \: of \: boys + Total \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: number \: of \: girls \\ \\ \sf \implies 42 = x + (x + 10) \\ \\ \sf 42 = x + (x + 10) \: is \: equivalent \: to \: x + (x + 10) = 42 : \\ \sf \implies x + (x + 10 )= 42 \\ \sf \implies x + x + 10 = 42 \\ \\ \sf x + x = 2x : \\ \sf \implies \boxed{ \sf 2x} + 10 = 42$

$\sf Substrate \: 10 \: from \: both \: sides : \\ \sf \implies 2x + (10 - \boxed{ \sf 10}) = 42 - \boxed{ \sf 10} \\ \\ \sf 10 - 10 = 0 : \\ \sf \implies 2x = 42 - 10 \\ \\ \sf 42 - 10 = 32 : \\ \sf \implies 2x = \boxed{ \sf 32} \\ \\ \sf Divide \: both \ sides \: by \: 2 : \\ \sf \implies \frac{2x}{ \boxed{ \sf 2}} = \frac{32}{ \boxed{ \sf 2}} \\ \\ \sf \frac{2x}{2} = \frac{ \cancel{2}}{ \cancel{2}} \times (x) = x : \\ \sf \implies x = \frac{32}{2} \\ \\ \sf \frac{32}{2} = \frac{16 \times \cancel{2}}{ \cancel{2}} = 16 : \\ \sf \implies x = 16$

So,

Total number of boys = x = 16

6 0

4 years ago

The legs of a right triangle measure 5 inches and 7 inches if the theta is the the angle between the 5 inch leg and hypotenuse,

Mrac [35]

9514 1404 393

Answer:

cos(θ) = (5√74)/74

Step-by-step explanation:

The length of the hypotenuse is given by the Pythagorean theorem:

h = √(5² +7²) = √74

The cosine of the angle is the ratio of the adjacent leg to the hypotenuse:

cos(θ) = 5/√74 = (5√74)/74

8 0

3 years ago

At a particular restaurant, each slider has 200 calories and each mini

AnnyKZ [126]

Answer: 1200= 4s+h

Step-by-step explanation: solve! I don’t know how many equations

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3 years ago

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Which is the farthest away from sea level,-3, -2, -0.8, 1/10, 1/2, 0.8, 7

ICE Princess25 [194]

Answer: 7

Of all the numbers listed, the number 7 is the greatest. If you are asking for the farthest from sea level, it is 7 because of the fact that it is the greatest number.

The answer is 7. Hope this helps!

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3 years ago

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