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ryzh [129]
3 years ago
6

Use angle relationships and the diagram below to write and solve an equation for x.

Mathematics
1 answer:
tatuchka [14]3 years ago
5 0

Answer:

x = 7 degrees

Step-by-step explanation:

4x-5 = 2x + 9

-2x -2x

2x-5 = 9

+5 +5

2x = 14

2x/2 =14 /2

x= 7

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If the side length of a square is 4 inches, its area is __ square inches and its priemeter is __ inches.
Grace [21]

Answer:

16 for both

Step-by-step explanation:

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2 years ago
Please answer the following question
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The midpoints of an irregular quadrilateral ABCD are connected to form another quadrilateral inside ABCD. Complete the explanati
dem82 [27]

Answer:

Suppose: M, N, P, Q are the midpoints of AB, BC, CD, AD respectively

=> MNPQ is the quadrilateral inside ABCD

connect B to D, ΔABD has : M is the midpoint of AB

                                              Q is the midpoint of AD

=> MQ is the midpoint polygon of ΔABD

=> MQ // BD and MQ = 1/2.BD (1)

ΔBCD has: N is the midpoint of BC

                  P is the midpoint of DC

=> NP is the midpoint polygon of ΔBCD

=> NP // BD and NP = 1/2.BD    (2)

from (1) and (2) => MQ // NP ( //BD)

                            MQ = NP  (=1/2.BD)

=> MNPQ is a parallelogram.​

=>  the quadrilateral inside ABCD is a parallelogram.​

Step-by-step explanation:

4 0
2 years ago
What is the height of 840mm³.
Rus_ich [418]

Answer:

What?

Step-by-step explanation:

Possible answers could be

the factors of 840

IF the 840 is your area.

Factors of 840 which are your answers:

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420.

7 0
2 years ago
Which equation could generate the curve in the graph below?
dimulka [17.4K]

Answer:

The answer is option 1.

Step-by-step explanation:

In order to find the equation, you have to apply Discriminant Law, D = b² - 4ac. When D < 0, the equation has no real roots (no x-intercept). When D = 0, it has 2 and equal roots (1 x-intercept). When D > 0, it has 2 distinct roots (2 x-intercept).

Option 1,

y = 3 {x}^{2}  - 2x + 1

D =  {( - 2)}^{2}  - 4(3)(1)

D =  - 8

D < 0

Option 2,

y = 3 {x}^{2}  - 6x + 3

D =  {( - 6)}^{2}  - 4(3)(3)

D = 0

Option 3,

y = 3 {x}^{2}  - 7x + 1

D =  {( - 7)}^{2}  - 4(3)(1)

D = 37

D > 0

Option 4,

y = 3 {x}^{2}  - 4x - 2

D =  {( - 4)}^{2}  - 4(3)( - 2)

D = 40

D  > 0

As you look at the graph, the curve does not meet x-axis so the discriminant must be less than 0.

7 0
3 years ago
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