If a force of 50 pounds is directed 30° from the horizontal, what vector represents this force?

!!!!!PLEASE HELP!!!!! *30 POINTS PLEASE*

Lelechka [254]

Answer:

Part 1)

Part a) Yes, triangle ABC is congruent with triangle DEC by SAS

Part b) No, triangle ABC is not congruent with triangle DCE

Part 2) No, is not enough information

Part 3) Yes, triangle RST is congruent with triangle VUT by ASA

Part 4) Yes, triangle DEF is congruent with triangle DHG by SAS

Step-by-step explanation:

Part 1) we have two cases

Part a) Is triangle ABC and DEC congruent?

Yes, triangle ABC is congruent with triangle DEC by SAS

we know that

The Side Angle Side postulate ( SAS) states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent

In this problem

AC≅DE

BC≅EC

and

∠ACB≅∠DCE ---> by vertical angles

Part b) Is triangle ABC and DCE congruent?

we know that

If two triangles are congruent, then its corresponding sides and its corresponding angles are congruent

In this problem

the corresponding sides are not congruent

because

AB is not congruent with DC

Part 2) we have that

No, is not enough information

If AC≅XZ then the triangles ABC and XYZ will be congruent by SSS

or

If ∠ABC≅∠XYZ then the triangles ABC and XYZ will be congruent by SAS

Part 3) we have that

Yes, triangle RST is congruent with triangle VUT by ASA

we know that

If any two angles and the included side are the same in both triangles, then the triangles are congruent by Angle -Side-Angle (ASA) postulate

In this problem

ST≅UT

∠RST≅∠VUT ----> is a right angle

∠RTS≅∠VTU ---->by vertical angles

so

Two angles and the included side are the same in both triangles

therefore

triangles RST and VUT are congruent by ASA

Part 4) we have that

Yes, triangle DEF is congruent with triangle DHG by SAS

we know that

The Side Angle Side postulate ( SAS) states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent

In this problem

DE≅DH

DF≅DG

and

∠EDF≅∠HDG ---> by vertical angles

7 0

3 years ago

What is 1.6 in fraction form?

viva [34]

As an improper fraction, it is $\frac{8}{5}$ .

5 0

4 years ago

A table listing pairs of values for Length in feet represented by x and Cost in thousands of dollars represented by y. Length, o

patriot [66]

Answer:

Step-by-step explanation:

Q1

a. y=4.9x -38

b. r=0.936

Q2

strong positive

Q3

Answer c.

Q4

d.y=4.9x -38, for x=20, y=60$

ey=4.9x -38, for y=147,00, x=(147,000-38)/4.9=29,992ft

3 0

3 years ago

Read 2 more answers

A New York Times poll on women's issues interviewed 1025 women randomly selected from the United States, excluding Alaska and Ha

nikitadnepr [17]

Answer: The margin of error tells that the proportion of the a random sample women said they do not get enough time for themselves can be differ by ±3% than the estimated proportion (47%)

Step-by-step explanation:

Given : A New York Times poll found that 47% of the women said they do not get enough time for themselves.

The poll announced a margin of error of ± 3% for 95% confidence in its conclusions.

A margin of error gives that value of percentage error of in results by which any random value will differ from the real population value.

Here the margin of error tells that the proportion of the a random sample women said they do not get enough time for themselves can be differ by ±3% than the estimated proportion (47%).

5 0

3 years ago

Through: (-2, -1), slope = 3

DanielleElmas [232]

Answer:

y =3x + 5

Step-by-step explanation:

The slope intercept form of an equation is expressed as;

y = mx+c

m is the slope

c is the intercept

Get the intercept

Substitute m = 3 and (-2,-1) into y = mx+c

-1 = 3(-2)+c

-1 = -6 + c

c = -1+6

c = 5

Get the equation.

Recall that y = mx+c

y =3x + 5

This gives the required equation

3 0

3 years ago