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sineoko [7]
4 years ago
14

Determine whether these two triangles are congruent with the ASA congruence method. If so, write the congruence statement. answe

rs: A) ΔFED ≅ ΔGFE B) ΔDEF ≅ ΔGEF C) The triangles aren't congruent using ASA. D) ΔDEF ≅ ΔGFE

Mathematics
1 answer:
Snezhnost [94]4 years ago
7 0

Answer:

D) ΔDEF ≅ ΔGFE

Step-by-step explanation:

For ASA to be used, 2 angles and their included side must be congruent. ∠F ≅ ∠E because of the markings, ∠E ≅ ∠F because all right angles are congruent, and side FE ≅ EF because they are aligned with each other. 2 angles and their included side are congruent.

As for the congruence statement, D is the right answer because ∠D ≅ ∠G, ∠E ≅ F, and ∠F ≅ ∠E.

I hope this helps :))

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If one pound of cement cost r dollars, what is the price of z pounds in cents
slavikrds [6]

Answer:

100rz cents.

Step-by-step explanation:

The price of cement with respect to its weight is proportional.

So, we can write p ∝ w  

where p is the price in dollars and w is the weight of the cement in pounds.

⇒ p = kw  ............... (1) {Where, k = proportionality constant}

Given that, one pound of cement cost r dollars.

So, from equation (1), we can write

r = k(1)

⇒ k = r

So, the equation becomes p = rw .............. (2)

Now, for w = z pounds, the price will be p = rz dollars. {From equation (2)}

Therefore, the price of z pounds in cents will be 100rz cents. (Answer)

7 0
3 years ago
Jim would like to create a pencil holder with no top. He would like it to be 5 inches tall and 3 inches wide. He cannot decide i
maw [93]

Answer:

\$11.13

Step-by-step explanation:

step 1

Find the surface area of the cylinder

The surface area of the cylinder is equal to

SA=\pi r^{2} +2\pi rh

we have

r=3/2=1.5\ in ----> the radius is half the diameter

h=5\ in

assume

\pi =3.14

substitute

SA=(3.14)(1.5)^{2} +2(3.14)(1.5)(5)=54.165\ in^{2}

<em>Find the cost</em>

54.165*(0.75)=\$40.62

step 2

Find the surface area of the square prism

The surface area of the prism is equal to

SA=b^{2} +4bh

we have

b=3\ in\\ h=5\ in

substitute

SA=(3)^{2} +4(3)(5)=69\ in^{2}

<em>Find the cost</em>

69*(0.75)=\$51.75

step 3

Find the difference of costs

\$51.75-\$40.62=\$11.13

5 0
4 years ago
What is the value of the digit 4 in the number 542,897,123
crimeas [40]
10 millions place. This is basic place value.
4 0
4 years ago
The graph shown is a scatter plot:
nataly862011 [7]
You’re answer is b.
i did this already
4 0
3 years ago
Oak High football team lost 8 games this season. Which absolute value statement describes the number of games the team lost?
zaharov [31]
Absolute value is always positive so I would say the answer would be A.
8 0
3 years ago
Read 2 more answers
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