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Anna [14]
3 years ago
9

A graph with no breaks in it

Mathematics
1 answer:
Umnica [9.8K]3 years ago
3 0
A graph that has no breaks in it is called a continuous data
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Can someone please help me with 3,4,5,6 pleaseeee!
FromTheMoon [43]

Answer:

3) m∠E = 102°

4) m∠V = 41°

5) x = 9

6) m∠J = 77°

Step-by-step explanation:

3) Find m∠E:

∠DFE and ∠GFH are opposite angles, so they have equal measures.

Now you know have 3 expressions for the angle measures of ΔGFH

Write an equation and solve for x:

(10x + 3) + (13x - 5) + 90 = 180

combine like terms:

23x + 88 = 180

subtract 88:

23x = 92

divide by 23:

x = 4°

Now that you have the value of x, you can evaluate both expressions given for ΔDFE:

6(4) + 11 = 35°

10(4) + 3 = 43°

Solve for the missing angle:

35 + 43 + m∠E = 180

m∠E + 78 = 180

m∠E = 102°

4) Find m∠V

ΔRST is an equilateral triangle (all sides are equal)

An equilateral triangle has 3 equal angles:

180 ÷ 3 = 60°

∠STR and ∠UTV are supplementary (add up to 180°):

m∠STR + m∠UTV = 180

m∠UTV + 60 = 180

∠UTV = 120°

Now that you have this angle, you can calculate the value of x:

120 + (5x + 6) + (4x - 9) = 180

9x + 117 = 180

9x = 63

x = 7

Now you can calculate the measure of ∠V

m∠V = 5(7) + 6 = 41°

5) Find the value of x

ΔPQR is an isosceles triangle (2 sides are equal)

In an isosceles triangle, the base angles are congruent.

Write an equation and solve for x:

29 + 29 + (8x - 14) = 180

8x + 44 = 180

8x = 136

x = 17

6) Find m∠J

Same as the last one, base angles are congruent.

Write an equation and solve for x:

(8x + 5) + (8x + 5) + (5x - 19) = 180

21x - 9 = 180

21x = 189

x = 9

Calculate the measure of ∠J:

m∠J = 8(9) + 5 = 77°

4 0
3 years ago
If 100 beach umbrellas have a mass of 865.2kg what is the mass of each umbrella
Readme [11.4K]

Answer:

8.652kg

Step-by-step explanation:

100 beach umbrellas = 865.2kg

1 beach umbrella = 865.2/100 kg

1 beach umbrella = 8.652kg (Ans)

8 0
3 years ago
Find the value in degrees 2x+6. X 96
AVprozaik [17]

Answer:

x = -0.04166666667

Step-by-step explanation:

2x + 8 * 96 = 0

2x * 96 = -8

x/2 * 96 = -8/2

x * 96 = -4

x = -4/96

x = -0.04166666667

5 0
3 years ago
Read 2 more answers
Rich and Melinda are comparing mortgages. Their mortgage is for $249,000. If they choose 15 years at 4%, their monthly payment w
jok3333 [9.3K]

Answer:

Term payback = 15 yr = $331527.6  20 yr = $394389.65 rounded up by 0.002. Shows 15 yr is $62862.05 less as result of return 5 yrs earlier.

Step-by-step explanation:

20 yr = $1643.29 at 105% = 82.1645 paid x 12 x 20 = 19719.48 interest + 1561.1257 to loan x 12 x 20 = 374670.168 total with Int at 5%=  394389.648  

15 yr=$1841.82.= $1841.82 - 73.6728= 1768.1472 to loan p/m = 20 yr 318266.496 + interest of 73.6728 = 13261.104 total with interest at 4%=331527.6

6 0
3 years ago
Explain how would you name a sorting rule for 1 square, 1 rectangle , and 1 triangle .
Tanzania [10]
Lines of symmetry if the triangle is isosceles.
4, 2, 1
7 0
3 years ago
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