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dybincka [34]
3 years ago
8

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

Mathematics
2 answers:
Black_prince [1.1K]3 years ago
7 0

Answer:

1)\ z=120\\\\2)\ g=46\\\\3)\ d=108\\\\4)\ r=39

Step-by-step explanation:

1) Given the equation:

z\div12=10

You can rewrite it in the following form:

\frac{z}{12}=10

You must solve for "z". To do it, you can multiply both sides of the equation by 12.

Then you get this solution:

(12)(\frac{z}{12})=(10)(12)\\\\z=120

2) The equation given is:

5g=230

Now, in order to solve for the variable "g", you can divide both sides of the equation by 5.

Then you get the following result:

\frac{5g}{5}=\frac{230}{5}\\\\g=46

3) Given the equation:

d-21=87

You can solve for "d" adding 21 to both sides of the equation.

So the value of "d" is:

d-21+21=87+21\\\\d=108

4) Having this equation:

r + 35 = 74

You must subtract 35 from both sides of the equation in order to find the value of the variable "r".

This is:

r + 35-35 = 74-35\\\\r=39

adelina 88 [10]3 years ago
3 0

Answer:

1203y is the answer

Step-by-step explanation:

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Step-by-step explanation:

1). segment AB ≅ segment AE ......... 1). Given

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7 0
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How do i write a two column proof for this??<br><br>Given: PG ≅ SG and PT ≅ ST . Prove: ∠GPT ≅ ∠GST
Nikolay [14]

Answer:

PG ≅ SG (Given)

PT ≅ ST (Given)

GT = GT (Common)

∴ ∠GPT ≅ ∠GST (SSS Congruency Axiom)

Step-by-step explanation:

<u>Given</u>: PG ≅ SG and PT ≅ ST

<u>To Prove</u>: ∠GPT ≅ ∠GST

<u>Proof</u>:  PG ≅ SG (Given)

PT ≅ ST (Given)

GT = GT (Common)

∴ ∠GPT ≅ ∠GST (SSS Congruency Axiom).

<u>SSS Congruency Axiom</u>:  If three pairs of sides of two triangles are equal in length, then the triangles are congruent.

<u>Congruence</u>: Two sets of points are called congruent if, and only if, one can be transformed into the other by an isometry, i.e., a combination of rigid motions, namely a translation, a rotation, and a reflection. This means that either object can be repositioned and reflected (but not resized) so as to coincide precisely with the other object. Two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.

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