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3 years ago

11. What method can be used to prove these two triangles are congruent?

Mathematics

1 answer:

zubka84 [21]3 years ago

5 0

This would be SAS. If that’s wrong I’m sorry but it’s the only thing that makes sense, the dashes indicate they are the same and then the circle at the point also indicates that they’re the same so you have two sides and one angle that are the same, so it should be SAS.

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cup of sugar is needed to make six muffins. Which expression shows how to determine how much sugar is in each muffin?

Serjik [45]

Answer:

cup of sugar

Step-by-step explanation:

you need one cup of sugar for each one like: 6cups for all

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2 years ago

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If x = a sin α, cos β, y = b sin α.sin β and z = c cos α then (x²/a²) + (y²/b²) + (z²/c²) = ?

Oduvanchick [21]

$\large\underline{\sf{Solution-}}$

<u>Given:</u>

$\rm \longmapsto x = a \sin \alpha \cos \beta$

$\rm \longmapsto y = b \sin \alpha \sin \beta$

$\rm \longmapsto z = c\cos \alpha$

Therefore:

$\rm \longmapsto \dfrac{x}{a} = \sin \alpha \cos \beta$

$\rm \longmapsto \dfrac{y}{b} = \sin \alpha \sin \beta$

$\rm \longmapsto \dfrac{z}{c} = \cos \alpha$

Now:

$\rm = \dfrac{ {x}^{2} }{ {a}^{2}} + \dfrac{ {y}^{2} }{ {b}^{2} } + \dfrac{ {z}^{2} }{ {c}^{2} }$

$\rm = { \sin}^{2} \alpha \cos^{2} \beta + { \sin}^{2} \alpha \sin^{2} \beta + { \cos}^{2} \alpha$

$\rm = { \sin}^{2} \alpha (\cos^{2} \beta + \sin^{2} \beta )+ { \cos}^{2} \alpha$

$\rm = { \sin}^{2} \alpha \cdot1+ { \cos}^{2} \alpha$

$\rm = { \sin}^{2} \alpha + { \cos}^{2} \alpha$

$\rm = 1$

<u>Therefore:</u>

$\rm \longmapsto\dfrac{ {x}^{2} }{ {a}^{2}} + \dfrac{ {y}^{2} }{ {b}^{2} } + \dfrac{ {z}^{2} }{ {c}^{2} } = 1$

5 0

3 years ago

Which of the following reasons completes the proof in the picture?

miv72 [106K]

The correct answer here is A because it asks to prove congruence. Since we know line ST is the BISECTOR of PR, we know that Q is the middle point and indeed PQ and RQ are congruent lines.

3 0

4 years ago

Round to the nearest tenth

Semmy [17]

Answer:

60 degrees

Step-by-step explanation:

I believe in the triangle it says 57 degrees so if you round 57 to the nearest tenth you get 60 so it would be 60 degrees

4 0

4 years ago

Miri counted her money and found that her 25 coins which were nickels, dimes, and quarters were worth $3.20. the number of dimes

Natasha_Volkova [10]

Nickels = x

dimes = x + 4

quarters = x

Value of coins:

nickel = 5 cents

dime = 10 cents

quarter = 25 cents

5x + 10(x + 4) + 25x = 3.20

5x + 10x + 40 + 25x = 320

40x = 320 - 40

40x = 280

x = 280/40

x = 7

There are 7 quarters, 7 nickels and 11 dimes.

4 0

3 years ago