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lesya692 [45]
3 years ago
13

In the triangles HG = MP and GK = PN.

Mathematics
2 answers:
Shkiper50 [21]3 years ago
6 0

Answer:  mG > mP


Step-by-step explanation:

In the given triangles sides HG = MP and GK = PN and measure of side HK=15mm and MN= 11 mm given.

According to Theorem : If two sides of a triangle are unequal, then the measures of the angles opposite these sides are unequal, and the greater angle is opposite the greater side .

HK > MN

m<G> M<P.


Sergio [31]3 years ago
5 0

Answer:

mAngleG > mAngleP

Step-by-step explanation:

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Scientists found that the body of a male consists of 3.58×10^-4 lbs of zinc. What is the number written in standard notation?
notka56 [123]

Answer:

The number is 0.000358 lbs.

Step-by-step explanation:

Scientists found that the body of a male consists of 3.58 \times 10^{-4} lbs of zinc.

This is a scientific way of writing a number.

For, example 0.0023, a number in normal or standard notation can be scientifically written as 2.3 \times  10^{- 3}.

So, in our case, the number is 3.58 \times 10^{-4} lbs and we have to write this number in standard notation.

Then the number is 0.000358 lbs. (Answer)

4 0
3 years ago
What is 0.25 (repeating 5) as a fraction?​
Vanyuwa [196]
1/2 or 2/4 pretty sure
4 0
2 years ago
What’s the correct answer for this ?<br> The traffic light is approximately _____ feet tall
wlad13 [49]

Answer:

Height = 21.78 ft

Step-by-step explanation:

Tan θ = opposite / Adjacent

tan 40 = opposite / 20

where opposite is the part of the traffic light

0.839 × 20 = opposite

opposite = 16.78 ft

Now the total height of traffic light = 16.78 ft +5 ft

Total Height = 21.78 ft

8 0
3 years ago
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.

7 0
3 years ago
The sum of the measures of angle Y and angle Z is 180 degrees. Angle Y measures (3x + 20) degrees and Angle Z measures x degrees
Minchanka [31]
A)
The question tells us that
y + z = 180
And
y=3x+20
z=x

So we put them in the first formula:

y + z = 180
(3x + 20) + x = 180

Add and get x to one side:
4x + 20 = 180
4x + 20 - 20 = 180-20
4x = 160
Divide both sides by 4
x = 40

B)
Put x back in to equation to get size of each angle:

Y =3x +20
Y=3(40)+20
Y=120+20
Y=140

Z=x
Z=40

Verify: y+z=180
140+40=180
180=180
8 0
2 years ago
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