All categories

2 years ago

HELP ASAP!!! explanation requiredd!

Mathematics

2 answers:

Mkey [24]2 years ago

6 0

(7x-5)+(3x-15)=180°

10x-20=180

10x=200

x=20

(3x-15) + E = 180

3(20)-15 + E = 180

45 + E = 180

E = 135°

FG = EH = 2(y+1)

horrorfan [7]2 years ago

5 0

Answer:

∠ E = 135° , FG = 10

Step-by-step explanation:

The opposite sides and angles of a parallelogram are congruent.

Consecutive angles are supplementary, that is sum to 180°

Then

3x - 15 + 7x - 5 = 180 , that is

10x - 20 = 180 ( add 20 to both sides )

10x = 200 ( divide both sides by 10 )

x = 20

then

∠ G = 7x - 5 = 7(20) - 5 = 140 - 5 = 135°

∠ E = ∠ G = 135°

-------------------------------------------------

EF = HG ( substitute values )

3y = y + 8 ( subtract y from both sides )

2y = 8 ( divide both sides by 2 )

y = 4

then

EH = 2(y + 1) = 2(4 + 1) = 2 × 5 = 10

FG = EH = 10

You might be interested in

Based on the Pythagorean Theorem, which of

aleksley [76]

Answer:

G is not TRUE.

Step-by-step explanation:

using the law A+B = B+A

PYTHAGOREAN THEOREM

A²+B² =C² is equal to B² +A² = C²

So for A²,

B² - c² = A. remember if a positive number move from the left to the right over an equal sign it becomes negative and vice versa

B²

C² - A²= B²

6 0

2 years ago

Alan is connecting three garden hoses to make one longer hose.The green hose is 6.25 feel long the orange hose is 5.755 feet lon

nevsk [136]

We will use addition to find the length of the new, longer hose.

6.25 feet + 5.755 feet + 6.5 feet = 18.505 feet is the length of the new longer hose.

8 0

3 years ago

An engineer is designing a large steel pad to be installed on the deck of an aircraft carrier. Its total volume will be 18 yd^3.

Shtirlitz [24]

Answer:

The cost of the material for the full-sized pad is;

d) 222,750.00

Step-by-step explanation:

The parameters of the steel pad and the scale model are;

The volume of the deck = 18 yd³

The dimensions of the model of the same material = 6 feet by 4.5 feet and 4.5 inches thick

The weight of the sample, m₂ = 75 lbs

The cost of the steel, P = $55/lb

The dimensions of the sample in yards are;

6 feet = 2 yards, 4.5 feet = 1.5 yards, and 4 inches = 0. $\overline 1$ yards

The volume of the sample, V₂ = 2 yd. × 1.5 yd. × 0. $\overline 1$ yd. = (1/3) yd.³

The density of the sample material, ρ = m₂/V₂

∴ The density of the sample material, ρ = 75 lbs/((1/3)yd.³) = 225 lbs/yd³

Therefore, the density of the material of the pad, ρ = 225 lbs/yd³

The mass of the steel pad, m₁ = ρ × V₁

∴ The mass of the steel pad, m₁ = 225 lbs/yd³ × 18 yd³ = 4,050 lbs

The cost of the material for the full-sized steel pad, C = m₁ × P

∴ C = 4,050 lbs × $55/lb = $222,750

6 0

3 years ago

A researcher records the amount of time (in minutes) that parent child pairs spend on social networking sites to test whether th

ki77a [65]

Answer:

(a) A matched pair design is used to perform the test.

(b) Each sample is of size 30.

(d) The effect size of the test is medium.

Step-by-step explanation:

A statistical experiment is performed to determine whether the amount of time (in minutes) that parent-child pairs spend on social networking sites to test show any generational differences.

Given:

MD = -42 minutes

t₍₂₉₎ = 4.021

p < 0.05

d = 0.49

The hypothesis is:

H₀: There is no difference between the means, i.e. μ₁ = μ₂.

Hₐ: There is a significant difference between the means, i.e. μ₁ ≠ μ₂.

(a)

A matched pair design is used to perform the test.

In a matched pair design the participant of the two groups are related in some way. For example, the same sample is tested before and after applying the treatment.

In this case the matched are pairs are of children and their parents. And the treatment is the amount of time spent on social networking sites.

(b)

The degrees of freedom of a matched pair design is:

df = n - 1

29 = n - 1

n = 29 + 1

n = 30

Thus, each sample is of size 30.

(c)

The p-value of the test statistic is < 0.05.

If the p-value is less than the significance level α (say, 0.05) then the null hypothesis is rejected and vise-versa.

Since p < 0.05 the null hypothesis is rejected concluding that there is a significant difference between the amount of time spent on social networking sites by parents and children.

(d)

The estimated value of Cohen's d is, d = 0.49.

A Cohen's d value between the range 0.50 to 0.80 is considered as medium.

Thus, the effect size of the test is medium.

3 0

3 years ago

1) A set of numbers in parentheses separated by a comma like (3,-4) is called an

Kruka [31]

The answer is b. Ordered pairs

5 0

3 years ago