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Katyanochek1 [597]
1 year ago
12

Recall that the sum of the measures of the angles of a triangle is 180°. In the triangle below, angle Chas the same measure as a

ngle B, and angle measures 42° less than angle B.
Find the measure of each angle.
Mathematics
1 answer:
Effectus [21]1 year ago
8 0

The measure of each angles a,b and c are 32°, 74°  and 74°  respectively.

What is triangle?
Three edges and three vertices define a triangle as a polygon. One of geometry's fundamental shapes is this one. The symbol for an ΔABC triangle is A, B, and C.
Any three points determine a distinct triangle and a distinct plane in Euclidean geometry when they are non-collinear (i.e. a two-dimensional Euclidean space). To put it another way, each triangle is contained in a plane, and there is only one plane that includes that particular triangle. All triangles are contained in one plane if and only if all geometry is the Euclidean plane, however this is no longer true in higher-dimensional Euclidean spaces. Except as otherwise specified, the subject of this article is triangles in Euclidean geometry, more specifically, the Euclidean plane.

Let angle b be x

Therefore angle c will also be  x [as given b and c are equal] and angle a will be x - 42°.
Now as we know that the sum of the measures of the angles of a triangle is 180° therefore,

x + x + x - 42° = 180°

=> 3x = 222°

=> x = 74°  which is angle b and c

and angle a is (74 - 42)°  =32°  

To learn more about triangles  click on the link below:

brainly.com/question/17335144

#SPJ9

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7 0
3 years ago
After a reflection, can A=A'?
motikmotik
NO It can not!

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4 0
3 years ago
A detective finds a victim of murder at 9 am. At that time, the temperature of the body is 90.3 degrees F. One hour later, the b
LekaFEV [45]

Answer:

Step-by-step explanation:

Given

at 9 am temperature of the body is 90.3^{\circ}F

1 hr later temperature 89^{\circ}F

Temperature of room T=68^{\circ}F

According to newtons law

\frac{\mathrm{d} T}{\mathrm{d} t}=-k\left ( T-T_{room}\right )

\frac{\mathrm{d} T}{\mathrm{d} t}=-k\left ( T-68\right )

\frac{dT}{T-68}=-kdt

Integrating

=\int \frac{dT}{T-68}=-kdt

\ln |T-68|=-kt+c

T-68=Ae^{-kt}

Now at 9 am i.e. t=0,

90.3=A+68

A=22.3

At 10 am i.e. t=1 hr T=89

89-68=22.3e^{-k}

e^{-k}=21

k=0.06006

Temperature of Normal human body is T=98.6 ^{\circ}F

98.6-68=e^{-0.06006t}

30.6=e^{-0.06006t}

Taking log both sides

t=-5.27

i.e. 5 hr and  16.2 min

i.e. victim murdered at 3 am and 43.8 min

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3 years ago
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marusya05 [52]

Answer:

gf(5) = 289.

fg(x) = 3x^2 + 2.

Step-by-step explanation:

f(5) =  3(5) + 2 = 17

So gf(5) = 17^2 = 289.

fg(x) =  3(x^2) + 2   (we replace the x in f(x) by g(x)).

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Answer:

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