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Ahat [919]
3 years ago
13

Look at the figures. How can you prove these triangles are congruent?

Mathematics
1 answer:
NNADVOKAT [17]3 years ago
6 0

Answer:

You can use the Side-Angle-Side Postulate.

Step-by-step explanation:

The Side-Angle-Side (or SAS) Postulate basically states that if two sides of two triangles and the included angle are congruent, the two triangles are congruent.

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After getting 5 new rocks, George gave half of his rock collection to Susan. If George gave Susan 36 rocks, which equation could
kirill [66]

36 x 2 = 72

72-36 = 36 - 5 = 31

31 rocks to start with

4 0
4 years ago
Read 2 more answers
Calculate the length of AB. Round to the nearest tenth.
marissa [1.9K]

Answer:

AB = 10.06 cm

Step-by-step explanation:

Consider the given figure,

We have to find the length of side AB.

Lets rename the figure first, ABCD forms a rectangle. So , CB = DA = 12 cm

Also, EA = ED +DA ⇒ 15 = ED + 12 ⇒ ED = 15 - 12 ⇒ ED = 3 cm

Pythagoras theorem states that in a right triangle the sum of square of base and perpendicular is equal to square of hypotenuse.

Using, Pythagoras Theorem on Δ EDC,

(EC)^2=(ED)^2+(DC)^2

ED = 3 cm , EC = 10.5, Substitute, we get,

\Rightarrow (10.5)^2=(3)^2+(DC)^2

Solve for DC, we get,

\Rightarrow 110.25=9+(DC)^2

\Rightarrow 110.25-9=(DC)^2

\Rightarrow (DC)^2=101.25

\Rightarrow DC=\sqrt{101.25}

\Rightarrow DC=10.06

Since, ABCD is a rectangle. Thus, DC = AB

Hence, AB = 10.06 cm

7 0
3 years ago
Read 2 more answers
At a school number of boys: number of girls= 11:9
vredina [299]

составим уравнение
11х=9х+124
2х=124
х=62

проверим ответ
682=558+124

тогда, общее количество детей

682+558=1240

4 0
2 years ago
A large can of tomato soup was $4.40 for 22 ounces while the smaller can was $1.80 for 10 ounces. which can of soup has the best
topjm [15]
To find the answer to this problem, all you have to do is divide the price of the product by the number of ounces. So to find the price per ounce of the large can of tomato soup, you divide 4.40 by 22, which equals .20 cents per ounce. For the smaller can, you divide 1.80 by 10, which equals .18 cents per ounce. So the smaller can has the best price per ounce. 
7 0
3 years ago
Read 2 more answers
How much force does the atmosphere exert on one side of a vertical wall 4. 00-m high and 10. 0-m long?
serious [3.7K]

A force of 4.05×10⁶ N was exerted on one side of the wall.

<h3>What is the force?</h3>

Force is an external agent capable of changing the state of rest or motion of a particular body. It has a magnitude and a direction.

The following data were obtained from the question:

Breadth (B) = 4 m

Length (L) = 10 m

Standard pressure (P) = 101325 Nm¯²

Next, we shall determine the area of the wall. This can be obtained as follow:

Area (A) = length (L) × breadth (B)

A = 10 × 4

A = 40 m²

Finally, we shall determine the force exerted on one side of the wall as follow:

Standard pressure (P) = 101325 Nm¯²

Area (A) = 40 m²

Pressure (P) = Force (F) /Area (A)

101325 = F/40

F = 101325 × 40

F = 4.05×10⁶ N.

Therefore, a force of 4.05×10⁶ N was exerted on one side of the wall.

Learn more about force here;

brainly.com/question/17718499

#SPJ4

4 0
2 years ago
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