1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Marizza181 [45]
3 years ago
8

Which case allows for more than one triangle with the given measures to be constructed?

Mathematics
1 answer:
Anni [7]3 years ago
7 0
<span>A.three sides measuring 9 meters, 5 meters, and 5 meters

--> only one isosceles triangle

B.three sides measuring 6 inches, 3 inches and 9 inches

--> none triangle may be formed because 9 = 3 + 6 and there is a rule (the triangle inequality theorem) that states the length of any side must be less than the sum of the lengths of other two sides.  

C.three angles measuring 25°, 25°, and 130°

--> 25 + 25 + 130 = 180 => you can construct many triangles with these angles

D.three angles measuring 55°, 25°, and 125°

--> 55 + 25 + 125 = 205 > 180 => you cannot construct any triangle with theses measures.
</span>
You might be interested in
I need some help on these questions 2-54 Evens Please help me
KATRIN_1 [288]
2.3
4.14
6.2
8.-9
10.-1
12.-13
14.-20
16.10
18.-2
20.-6
22.16
3 0
2 years ago
A circular merry-go-round has a radius of 5 feet. Find the distance of a spin of one full rotation. Use 3.14 for pi and round th
Sedbober [7]

Option C

The distance of a spin of one full rotation is 31.4 feet

<em><u>Solution:</u></em>

Given that,

A circular merry-go-round has a radius of 5 feet

Radius = 5 feet

We have to find the distance of spin for one full rotation

Distance covered in 1 full of rotation is equal to circumference of circle

<em><u>The circumference of circle is given as:</u></em>

C = 2 \pi r

Where "r" is the radius

C = 2 \times 3.14 \times 5\\\\C = 6.28 \times 5\\\\C = 31.4

Thus the distance of a spin of one full rotation is 31.4 feet

6 0
3 years ago
Line AB has an equation of a line y = 5x − 2. Which of the following could be an equation for a line that is parallel to line AB
SpyIntel [72]
Determine the slope of line AB
m = 5

Determine the slope of the lines from the options
First option: y = 5x + 3, the slope is 5
Second option: y = (1/5)x + 3, the slope is 1/5
Third option: y = -5x + 3, the slope is -5
Fourth option: y = (-1/5)x + 3, the slope is -1/5

Parallel lines are similar in the slope. So the line which is parallel to line AB must have the slope of 5.

The answer is first option.
4 0
3 years ago
A. Rewrite the function y = x2 – 14x + 58 in vertex form by completing the square. Show your work. B. Rewrite the function y = –
marysya [2.9K]

Answer:

A. y = (x -7)² +9

B. y = -(x +3)² -11

C. minimum, (7, 9)

D. maximum, (-3, -11)

Step-by-step explanation:

The general steps to rewriting the function in vertex form are ...

1. factor out the leading coefficient (if not 1) from the first two terms

2. add inside parentheses the square of half the x coefficient; subtract the same amount outside parentheses. The factor in front of the parentheses must be taken into account when adding the same amount outside.

3. rewrite the content of parentheses as a square, collect terms outside parentheses.

___

A. y = x² -14x +58

y = (x² -14x) +58 . . . . . . . . . . step 1

y = (x² -14x +49) +58 -49 . . . step 2

y = (x -7)² +9 . . . . . . . . . . . . . step 3

__

B. y = -x² -6x -20

y = -(x² +6x) -20

y = -(x² +6x +9) -20 -(-9)

y = -(x +3)² -11

__

C. In vertex form, the function for vertical scale factor "a" and vertex (h, k) looks like ...

y = a(x -h)² +k

When a < 0, the vertex is a maximum (the graph opens downward); when a > 0, the vertex is a minimum (the graph opens upward).

The function of part A has a minimum at the vertex (7, 9). 9 is the minimum value.

___

D. The function of part B has a maximum at the vertex (-3, -11). -11 is the maximum value.

8 0
2 years ago
The original price of a computer was $651. The store reduced the price of the computer by 35%.
NeTakaya

Answer:

it was discounted by $227.85

Step-by-step explanation:

8 0
2 years ago
Other questions:
  • What is the equation of the line that passes through (0, -2) and has a slope of 0? NEED HELP ASAP!!
    11·1 answer
  • PRE-CALCULUS:<br> Find the range of the function.<br><br> f(x) = (x - 2)2 + 2
    10·1 answer
  • Consider the diagram showing the path Joel biked. Joel biked 9 miles east and then 12 miles north. If he biked back to his start
    8·2 answers
  • If 8600 firefighters work for a city and 31 out of 40 firefighters who were asked if they enjoy their jobs
    15·1 answer
  • n a drawing, a jar holds the numbers 1 to 8. If you draw three numbers to form a three-digit number (without replacement), what
    15·2 answers
  • Ayuda la tengo que entregar hoy
    11·1 answer
  • Which type of car had the largest range in monthly sales? Explain how you came up with your answer.
    8·1 answer
  • Calculating interests,plz help-
    11·1 answer
  • It looks easy i just dont know how to do it can someone help me out
    12·1 answer
  • Original Equation:8 - 7x^2 + 3 = 4x^2 - 1Frist step:11 - 7x^2 = -4x^2 - 1Which property justifies the first step?A. Division pro
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!