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Natalka [10]
3 years ago
6

Which rule explains why these triangles are congruent?

Mathematics
1 answer:
Dima020 [189]3 years ago
8 0

Answer:

ASA

Step-by-step explanation:

ANGLE SIDE ANGLE

according to your option

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Xan and Katie are twins. Xan weighs 66 6 6 pounds 99 9 9 ounces, and Katie weighs 88 8 8 pounds 11 1 1 ounce. What is the differ
gtnhenbr [62]

Answer:

264 ounces

Step-by-step explanation:

#Convert Xan weight into ounces:

1lb= 16 \ oz\\\\66\ lb=66\times 16=1056 \ oz\\\\\therefore Xan's=1056 \ oz+ 99 \ oz=1155 \ oz

Convert Katie's 88 pounds 11 ounce to ounces:

1lb= 16 \ oz\\\\88\ lb=88\times 16=1056 \ oz\\\\\therefore Katie's=1408 \ oz+ 11 \ oz=1419\ oz

The difference is calculated by subtracting Xan's from Katie's:

=1419 \ oz-1155 \ oz\\\\=264\ oz

Hence, the difference between the weights is 264 ounces

7 0
3 years ago
NEED HELP ASAP!!!!!!!!!!!
zhenek [66]

The equation  x=tan^{-1}(\frac{12}{5}) can be used to find the measure of ∠BAC ⇒ 2nd answer

Step-by-step explanation:

Let us revise the trigonometry ratios in the right triangle ABC, where B is the right angle, AC is the hypotenuse, AB and BC are the legs of the triangle

The trigonometry ratios of the ∠BAC, the opposite side to this angle is BC and the adjacent side to it is AB are

  • sin(BAC)=\frac{opposite}{hypotenuse}=\frac{BC}{AC}
  • cos(BAC)=\frac{adjacent}{hypotenuse}=\frac{AB}{AC}
  • tan(BAC)=\frac{opposite}{adjacent}=\frac{BC}{AB}

In Δ ABC

∵ ∠ BCA is a right angle

∴ The hypotenuse is AB

∵ The adjacent side to ∠CAB is AC

∵ The opposite side to ∠CAB is BC

∵ AB = 13 units ⇒ hypotenuse

∵ CB = 12 units ⇒ opposite

∵ AC = 5 units ⇒ adjacent

- Let us find the trigonometry ratios of angle BAC

∵ m∠CAB is x

∵ sin(x)=\frac{BC}{AB}

∴ sin(x)=\frac{12}{13}

∴ x=sin^{-1}(\frac{12}{13})

∵ cos(x)=\frac{AC}{AB}

∴ cos(x)=\frac{5}{13}

∴ x=cos^{-1}(\frac{5}{13})

∵ tan(x)=\frac{BC}{AC}

∴ tan(x)=\frac{12}{5}

∴ x=tan^{-1}(\frac{12}{5})

The equation  x=tan^{-1}(\frac{12}{5}) can be used to find the measure of ∠BAC

Learn more:

You can learn more about the trigonometry ratios in brainly.com/question/4924817

#LearnwithBrainly

4 0
3 years ago
Read 2 more answers
Consider two bases B = {b1, b2, b3} and C = {c1, c2, c3} for a vector space V such that
Helen [10]
I’m a failure if you can just say “yes you are” in the comments
3 0
3 years ago
Q# ..7 match the equation with its graph -4x - 2y =8
prisoha [69]

If you divide by 8, you can put the equation into intercept form. That form is ...

... x/a + y/b = 1

where <em>a</em> and <em>b</em> are the x- and y-intercepts, respectively.

Here, your equation would be

... x/(-2) + y/(-4) = 0

The graph with those intercepts is not shown with your problem statement here. See the attachment for the graph.

3 0
3 years ago
5/3 dived by 3? Plz help
WINSTONCH [101]

Answer:

5/9 or 0.5

Step-by-step explanation:

i hope this helps :)

7 0
3 years ago
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