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Lapatulllka [165]
3 years ago
11

Iy

Mathematics
2 answers:
ElenaW [278]3 years ago
8 0
The Answer is all the real numbers
katovenus [111]3 years ago
7 0

Answer:

  all real numbers

Step-by-step explanation:

The function f(x) = 3|x +4| +1 is defined for all values of x. Its domain is <em>all real numbers</em>.

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Find the value of x in the triangle
lianna [129]

Answer:

x = 29 degrees

Step-by-step explanation:

We know that all of the angles inside of a right triangle add up to 180. We also know that a right angle is 90 degrees. We can do 61 + 90 = 151. 180 - 151 = 29. This means that x = 29 degrees.

7 0
1 year ago
Read 2 more answers
In triangle abc, the perimeter is 36, and ab=ac. line ad is perpendicular to bc at the point d, and triangle abd's perimeter is
Musya8 [376]
Let x=ab=ac, and y=bc, and z=ad.

Since the perimeter of the triangle abc is 36, you have:

Perimeter of abc = 36
ab + ac + bc = 36
x + x + y = 36
(eq. 1) 2x + y = 36

The triangle is isosceles (it has two sides with equal length: ab and ac). The line perpendicular to the third side (bc) from the opposite vertex (a), divides that third side into two equal halves: the point d is the middle point of bc. This is a property of isosceles triangles, which is easily shown by similarity.

Hence, we have that bd = dc = bc/2 = y/2 (remember we called bc = y).

The perimeter of the triangle abd is 30:

Permiter of abd = 30
ab + bd + ad = 30
x + y/2 + z =30
(eq. 2) 2x + y + 2z = 60

So, we have two equations on x, y and z:

(eq.1) 2x + y = 36
(eq.2) 2x + y + 2z = 60

Substitute 2x + y by 36 from (eq.1) in (eq.2):

(eq.2') 36 + 2z = 60

And solve for z:

36 + 2z = 60 => 2z = 60 - 36 => 2z = 24 => z = 12

The measure of ad is 12.

If you prefer a less algebraic reasoning:

- The perimeter of abd is half the perimeter of abc plus the length of ad (since you have "cut" the triangle abc in two halves to obtain the triangle abd).

- Then, ad is the difference between the perimeter of abd and half the perimeter of abc:

ad = 30 - (36/2) = 30 - 18 = 12
4 0
3 years ago
Read 2 more answers
Can someone answer this truthfully
juin [17]

Answer:

1- 4x -7 =29, x= 9

2-x/3 - 8 = 12, x=60

Step-by-step explanation:

4x-7 =29

4x= 29 +7

4x= 36

x= 9

x/3 -8 =12

x/3 = 12+ 8

x/3 = 20

x= 20(3)

x= 60

4 0
2 years ago
Find the length of arc RQ. Use 3.14
Helen [10]

Answer:

The length of arc PQ is 8.1 inches.

Step-by-step explanation:

First, you have to find the angle of POQ. Given that total angles in a circle is 360°, so you have to subtract to get ∠POQ :

73 + 150 + 65 + ∠POQ = 360

288 + ∠POQ = 360

∠POQ = 360 - 288 = 72

Next, you have to apply length of arc formula, Arc = θ/360×2×π×r where θ represents the angle of arc and r is the radius of circle :

arc =  \frac{θ}{360}  \times 2 \times \pi \times r

let \: θ = 72,\pi = 3.14,r = 6.48

arc =  \frac{72}{360}  \times 2 \times 3.14 \times 6.48

arc = 8.1 \: inches \: (near.tenth)

7 0
3 years ago
5 A triangle has two congruent angles. The length of one
nlexa [21]

Answer:

<em>Answer: C. 32 cm</em>

Step-by-step explanation:

<u>Triangle Inequality Theorem </u>

Let y and z be two of the side lengths of a triangle. The length of the third side x cannot be any number. It must satisfy all the following restrictions:

x + y > z

x + z > y

y + z > x

Combining the above inequalities, and provided y>z, the third size must satisfy:

y - z < x < y + z

We know the triangle has two congruent angles, which means the triangle is isosceles, i.e., it has two congruent sides.

We are given two side lengths of 16 cm and 32 cm. The third side must have a length of 16 cm or 32 cm for the triangle to be isosceles.

If the third side had a length of 16 cm then the lengths would be 16-16-32. But that combination cannot form a triangle because of the condition stated above.

If y=16, z=16, and x=32 (the worst possible combination), then the inequality

0 < x < 32

wouldn't be satisfied, thus the third side cannot have a length of 16 cm and it must have a length of 32 cm

Answer: C. 32 cm

4 0
2 years ago
Read 2 more answers
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