All categories

3 years ago

In the paper airplane shown

Mathematics

1 answer:

Murrr4er [49]3 years ago

5 0

Answer:

∠GHE = 55°

Step-by-step explanation:

ABCD is a quadrilateral (4 sided figure). We know that the sum of the interior angles (4 angles) of a quadrilateral in 360°.

Thus, A + B + C + D = 360

we know b = c = 90 and a = 125, thus we can find D.

125 + 90 + 90 + D = 360

305 + D = 360

D = 360 - 305 = 55°

Note: since Quadrilateral ABCD is congruent to Quadrilateral EFGH, then the measure of D is equal to measure of H (Angle GHE). Thus

∠GHE = 55°

2nd answer choice is correct

You might be interested in

Jason needs to explain to his class how to use mental math to find the product of 400,000×50,000 how would u explain that

elena55 [62]

You would do 5 times 4 which is 20. then count how many zero's there are and put them after the 20.

4 0

3 years ago

lara31 [8.8K]

Answer:

Step-by-step explanation:

Given the points J (1,-10) and K (7, 2)

From the section formula

$(x,y)=\left(\dfrac{mx_2+nx_1}{m+n}, \dfrac{my_2+ny_1}{m+n}\right)$

The y-coordinates of the point that divides the directed line segment from J to K into a ratio of 5:1 is obtained using the formula:

$y=\dfrac{my_2+ny_1}{m+n}\\m=5, n=1, y_1=-10, y_2=2\\Therefore:\\y=\dfrac{5*2+1*-10}{5+1}\\=\dfrac{10-10}{6}\\=0$

The y-coordinates of the point that divides the directed line segment from J to K into a ratio of 5:1 is 0.

5 0

3 years ago

What is the value of point G on the number line?

olya-2409 [2.1K]

A) because it is 2/3 past 1

8 0

3 years ago

Read 2 more answers

a supermarket sells 2 kg and 4 kg of sugar a shipment of 1100 bags of sugar has a total mass of 2900 kg. How many 2 kg bags and

Vaselesa [24]

There are 750 (2 kg) bags and 350 (4 kg) bags in the shipment

Step-by-step explanation:

The given is:

A supermarket sells 2 kg and 4 kg of sugar a shipment of 1100 bags of sugar
The total mass of the sugar is 2900 kg

We need to find how many 2 kg bags and 4 kg bags are in the shipment

Assume that x represents the number of 2 kg bags and y represents the number of 4 kg bags

∵ x is the number of 2 kg bags

∵ y is the number of 4 kg bags

∵ The total number of bags are 1100

- Add x and y, then equate the sum by 1100

∴ x + y = 1100 ⇒ (1)

∵ The total mass of sugar is 2900 kg

- Multiply x by 2 and y by 4 to find the mass of the bags, then

add the two product and equate them by 2900

∴ 2x + 4y = 2900 ⇒ (2)

Now we have a system of equations to solve it

Multiply equation (1) by -2 to eliminate x

∴ -2x - 2y = -2200 ⇒ (3)

- Add equations (2) and (3)

∴ 2y = 700

- Divide both sides by 2

∴ y = 350

- Substitute the value of y in equation (1) to find x

∵ x + 350 = 1100

- Subtract 350 from both sides

∴ x = 750

There are 750 (2 kg) bags and 350 (4 kg) bags in the shipment

Learn more:

You can learn more about the system of equations in brainly.com/question/6075514

#LearnwithBrainly

4 0

3 years ago

Which is the better buy? 3-foot piece of twine for $7.38 3-yard piece of twine for $16.11

ratelena [41]

Three yard piece for 16.11! Hope this helps

8 0

2 years ago