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3 years ago

Find the missing angle according to the Triangle Sum Theorem.

Mathematics

1 answer:

dangina [55]3 years ago

4 0

Answer:

k = 140 degrees.

The missing INTERIOR angle is 40 degrees.

Step-by-step explanation:

The missing interior angle would be 40.

Triangle angle sum theorem states the 3 interior angles of a triangle sum to 180.

64+76+40 = 180

The exterior angle theorem states the exterior angle of a triangle is equal to the sum of the two remote interior angles of the triangle.

Exterior angle k = 64+76

k= 140

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fred purchased 6 shirts on friday. kyle purchased 4 shirts and a pair of shorts for $25. they paid the same amount for each shir

Mars2501 [29]

Answer:

Step-by-step exp$ . 4 :33

3 0

3 years ago

CAN U SOLVE THIS

balandron [24]

Hello!

To the value of b, or the y-intercept, we need to substitute an ordered pair/point into the given equation.

Since we are given two points, we can use those two points to find two different equations.

Remember that ordered pairs are written as (x, y).

A(-2, 4)

y = -3x + b

4 = -3(-2) + b

4 = 6 + b (subtract 6 from both sides)

-2 = b

A) Therefore, the equation of the first ordered pair is y = -3x - 2.

B(5, 2)

2 = -3(5) + b

2 = -15 + b (add 15 to both sides)

17 = b

B) The equation of the second ordered pair is y= -3x + 17.

<u>Final answers</u>:

A) y = -3x - 2
B) y = -3x + 17

8 0

3 years ago

Find the surface area of the composite figure. Round your answer to the nearest tenth if necessary.

inessss [21]

The surface area of the composite figure is 444m²

Given a composite figure which is shown in the question.

The area of a shape (in square units) is the number of unit squares required to cover the entire area without gaps or overlaps. If a hologram has planes, those faces are called faces. Area is the sum of the areas of the faces.

Firstly, we will find the area of front and end triangles by using the formula

Area=(1/2)×b×h and we will multiply this area by 2 because we are finding the area of two same triangles.

Here, h=6 and b=16 and substitute these values in the formula, we get

A₁=2×(1/2)×16×6

A₁=2×8×6

A₁=96m²

Now, we will find the area of the left and right side rectangles which joined both the triangles.

We will find the area by using the formula Area=l×b and we will multiply this area by 2 because we are finding the area of two same rectangles.

here, l=10 and b=5 and substitute these values in the formula, we get

A₂=2×10×5

A₂=100m²

Further, we will find the area of the front and end side rectangles that joined both by the base of the triangles.

We will find the area by using the formula Area=l×b and we will multiply this area by 2 because we are finding the area of two same rectangles.

here, l=16 and b=4 and substitute these values in the formula, we get

A₃=2×16×4

A₃=128m²

Furthermore, we will find the area of the left and right side rectangles which joined by the front and end rectangles.

We will find the area by using the formula Area=l×b and we will multiply this area by 2 because we are finding the area of two same rectangles.

here, l=4 and b=5 and substitute these values in the formula, we get

A₄=2×4×5

A₄=40m²

Now, we will find the area of the base of the composite figure which is rectangle.

We will find the area by using the formula Area=l×b.

here, l=16 and b=5 and substitute these values in the formula, we get

A₅=16×5

A₅=80m²

So, the surface area of the given composite figure will be

Surface area=A₁+A₂+A₃+A₄+A₅

Surface area=96m²+100m²+128m²+40m²+80m²

Surface area=444m²

Hence, the surface area of the given composite figure is 444m².

Learn more about the surface area from here brainly.com/question/1090412

#SPJ1

7 0

1 year ago

Select the correct answer

katen-ka-za [31]

its the 3rd one to be correct

4 0

3 years ago

What is the rate of change for this function / careful / how can it be interpreted using the problem context?

UNO [17]

Step-by-step explanation:

FORMATION OF TABLE FOR THE FUNCTION $c\:=\:4t\:-\:150$

As t represents the temperature in degrees Fahrenheit and c represents the number of cricket chirps per minute.

Considering the function

$c\:=\:4t\:-\:150$

when $t = 40$

then $c = 4(40) - 150 = 160 - 150 = 10$

when $t = 50$

then $c = 4(50) - 150 = 200 - 150 = 50$

when $t = 60$

then $c = 4(60) - 150 = 240 - 150 = 90$

when $t = 70$

then $c = 4(70) - 150 = 280 - 150 = 130$

when $t = 80$

then $c = 4(80) - 150 = 320 - 150 = 170$

when $t = 90$

then $c = 4(90) - 150 = 360 - 150 = 210$

when $t = 100$

then $c = 4(100) - 150 = 400 - 150 = 250$

Lets form the data table for this function based on the determined values

$t\:\:\:\:\:\:\:40\:\:\:\:\:\:\:\:\:\:50\:\:\:\:\:\:\:\:\:\:60\:\:\:\:\:\:\:\:\:\:70\:\:\:\:\:\:\:\:\:\:\:80\:\:\:\:\:\:\:\:\:\:90\:\:\:\:\:\:\:\:\:\:\:100$

$c\:\:\:\:\:\:\:\:10\:\:\:\:\:\:\:\:50\:\:\:\:\:\:\:\:\:\:\:90\:\:\:\:\:\:\:\:\:130\:\:\:\:\:\:\:\:\:170\:\:\:\:\:\:\:\:\:210\:\:\:\:\:\:\:\:\:\:250$

PART 1)

Considering the function

$c\:=\:4t\:-\:150$

As we know that

when $t = 60$

then $c = 4(60) - 150 = 240 - 150 = 90$

Meaning the number of chirps per minute would increase to $90$ , when the temperature t in degrees Fahrenheit increase to 60.

The appropriate logic is that the speed at which cricket chirps is based on the temperature. The table table also indicates that as the temperature t increases, the number of cricket chirps also increases.

PART 2)

A rate of change is a rate that determines how one quantity changes in relation to another quantity.

Considering the two points

$(40, 10)$

$(50, 50)$

$\mathrm{Slope\:between\:two\:points}:\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(40,\:10\right),\:\left(x_2,\:y_2\right)=\left(50,\:50\right)$

$m=\frac{50-10}{50-40}$

$m=4$

It logically means for every increase of $10$ units in $t$ (temperature in degrees Fahrenheit), the value of $c$ (number of chirps) is increasing to $40$ units.

Thus, the rate of change will be $4$ .

Part 3)

Considering the function

$c\:=\:4t\:-\:150$

The data table for this function

$t\:\:\:\:\:\:\:40\:\:\:\:\:\:\:\:\:\:50\:\:\:\:\:\:\:\:\:\:60\:\:\:\:\:\:\:\:\:\:70\:\:\:\:\:\:\:\:\:\:\:80\:\:\:\:\:\:\:\:\:\:90\:\:\:\:\:\:\:\:\:\:\:100$

$c\:\:\:\:\:\:\:\:10\:\:\:\:\:\:\:\:50\:\:\:\:\:\:\:\:\:\:\:90\:\:\:\:\:\:\:\:\:130\:\:\:\:\:\:\:\:\:170\:\:\:\:\:\:\:\:\:210\:\:\:\:\:\:\:\:\:\:250$

Putting $t = 40$ in the function brings the value of $c$ as $10$ .

i.e.

$c\:=\:4\left(40\right)\:-\:150=160=10$

Yes, it does make sense.

Its logical meaning is that at the start, when the value of $t$ was $40$ temperature in degrees Fahrenheit, then the value of $c$ (number of chirps per minute) was $10$ .

4 0

3 years ago