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marysya [2.9K]
3 years ago
7

Geometry A questions (25 points, please answer all!!!)

Mathematics
1 answer:
astra-53 [7]3 years ago
5 0
1) The order of the letters is important. Corresponding angles are ones that have corresponding letters in the same order.

The appropriate choice is the 2nd one ...
  ∠HDG ≅ ∠HFE


2) The triangle is isosceles. You know that because the base angles T and X are marked as congruent. This means the side lengths are the same.
  TV = VX
  10x - 26 = 5x + 9
  5x = 35 . . . . . . . . . . add 26-5x
  x = 7

The appropriate choice is the 3rd one ...
  7


3) It can help to draw a picture. Check to see if each of the offered choices is met by the given information.
  • HL : yes. XZ is the L, YZ and YW are the H. The angles at X are right angles.
  • AAS : yes. The angles at X and Y and the sides YW and YZ are given as congruent.
  • ASA : yes. The angles at X and Y and the side between them XY are congruent.
  • SAS : yes. The side XY, the angles at Y and the sides YW and YZ are congruent.
  • SSS : no. The sides XW and XZ are not given as congruent.

The appropriate choice is the 4th one ...
  HL, AAS, ASA, and SAS


4) You are given sides CB and CD as congruent, and you know side CA is congruent to itself, so you need the angles between them, at C to be congruent.

The appropriate choice is the 2nd one ...
  AC ⊥ BD


5) You know the triangles are right triangles and the hypotenuse QS is congruent to itself. Given that one of the legs is also congruent to the one it corresponds to, the conditions are met for the HL theorem.

The appropriate choice is the 1st one ...
  HL Theorem

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Simplify the rational expressions.<br> x² – 16/x2+6x+8
kari74 [83]

Answer: x4+6x3+8x2−16/x2

5 0
3 years ago
Read 2 more answers
Julia went to the grocery store and purchased cans of soup and frozen dinners. Each
Troyanec [42]

Answer:

2f =c

350c + 500f = 4800

Step-by-step explanation:

Twice as many cans of soup as frozen dinners

All food combined contain 4800 (mg of sodium)

2f =c

350c + 500f = 4800

These are the systems of equations.

8 0
2 years ago
Let u = &lt;6, -9&gt;, v = &lt;1, -4&gt;. Find u - v.
melamori03 [73]
To subtract vectors, subtract the x coordinates together. Do the same for the y coordinates as well.

In terms of a formula if we had the vectors u and v such that
u = <a,b>
v = <c,d>
then 
u - v = <a-c, b-d>

Let's use that to get...
u - v = <6,-9> - <1,-4>
u - v = <6-1,-9-(-4)>
u - v = <6-1,-9+4>
u - v = <5,-5>
----------------------
Answer: A) <5,-5>

3 0
3 years ago
A climber starts at an elevation of -200 meters and her change in elevation is 300 meters up. What is her final elevation?
kherson [118]

Answer:

100

Step-by-step explanation:

because -100 0 then positive 100      

                     

4 0
2 years ago
Julia's service charge at a beauty salon was $72.60, before tax. The sales tax rate was 8%. If she added 20% of the amount befor
Ivan
Service charge for Julia at a beauty salon = $72.60
The rate of sales tax taken = 8%
Percentage of tips she added to the service charge before sales tax = 20%
Then amount of tips given by Julia = (20/100) * 72.60
                                                       = (1/5) * 72.60
                                                       = 14.52 dollars
Then the amount in total paid by Julia before adding service tax = (72.60 + 14.52) dollars
                                                                                                      = 87.12 dollars
Now the sales tax of 8% has to be calculated on the amount of $87.12.
Then
Amount of sales tax given by Julia = (8/100) * 87.12
                                                       = 696.96/100
                                                       = 6.969
                                                       = 6.97 dollars
So the total amount paid by Julia for the service at the salon = (87.12 + 6.97) dollars
                                                                                                 = 94.07 dollars
Julia paid a total of $94.07 for the service she received at the salon.

5 0
3 years ago
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