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fenix001 [56]
3 years ago
5

PLEASEEEE HELPPP!!!!!

Mathematics
2 answers:
Alecsey [184]3 years ago
6 0
<span>Question 1
Given: m∠H = 30°, m∠J = 50°, m∠P = 50°, m∠N = 100°
To prove that: △HKJ ~ △LNP
Statement                                                                              Reason

1. m∠H = 30°, m∠J = 50°, m∠P = 50°, m∠N = 100°   1. given
2. m∠H + m∠J + m∠K = 180°                                      2. ?
3. 30° + 50° + m∠K = 180°                                          3. substitution property
4. 80° + m∠K = 180°                                                    4. addition
5. m∠K = 100°                                                              5. subtraction property of equality
6. m∠J = m∠P; m∠K = m∠N                                        6. substitution
7. ∠J ≅ ∠P; ∠K ≅ ∠N                                                   7. if angles are equal then they are congruent
8. △HKJ ~ △LNP                                                        8. AA similarity theorem

The reason that is missing in step 2 is triangle angle sum theorem.
</span>The triangle angle sum theorem states that t<span>he sum of the measures of the interior angles of a triangle is 180°.

</span>Question 2
<span>Given that △ABC is an isosceles triangle with legs AB and AC and △AYX is also an isosceles triangle with legs AY and AX.

To prove that △ABC ~ △AYX.
Statements                                                               Reasons
1. △ABC is isosceles with legs AB and AC;
△AYX is also isosceles with legs AY and AX.         1. given
2. AB ≅ AC and AY ≅ AX                                        2. definition of isosceles triangle
3. AB = AC and AY = AX                                         3. definition of congruency
4. AY • AC = AX • AC                                              4. multiplication property of equality
5. AY • AC = AX • AB                                              5. substitution property of equality
6. AY </span><span>• AC / AB = AX                                              6. division property of equality
7. AY/AB = AX/AC                                                  7. division property of equality
</span><span>8. ?                                                                          8. ?
9. △ABC ~ △AYX                                                   9. SAS similarity theorem

 The statement and reason missing in the proof are ∠A ≅ ∠A; reflexive property</span>
<span>SAS Similarity or Side-Angle-Side similarity states that when two triangles have corresponding angles that are congruent and corresponding sides with identical ratios, then the triangles are similar.</span>

<span>Question 3 -
Given that line RS intersects triangle BCD at two points and is parallel to segment DC.
The statements thet are correct is △BCD is similar to △BSR.</span>
Mazyrski [523]3 years ago
5 0

Answer:

∠A ≅ ∠A; reflexive property

Step-by-step explanation:

You might be interested in
the area of a bathroom floor measures 3 yards by 3 yards and each custom tile that makes up the flooring is 1 1/2 square yards.
wel

Using the area, the number of tiles needed to cover the floor is 6.

<h3>What is area?</h3>

The area is the region bounded by the shape of an object.

Therefore, the bathroom floor measures 3 yards by 3yards.

Hence the area of the bathroom floor can be calculated as follows;

area of the bathroom floor = 3 × 3

area of the bathroom floor = 9 yards²

The area of the custom tiles that makes the flooring is 1 1  /2 square yards.

Hence,

number of tiles needed to cover the floor = 9 ÷ 3  /2

number of tiles needed to cover the floor = 9 × 2  / 3

number of tiles needed to cover the floor = 18 / 3

number of tiles needed to cover the floor = 6

learn more on area here: brainly.com/question/946354

#SPJ1

4 0
1 year ago
The pH of lemon juice at 298 K is found to be 2. 32. What is the concentration of mc014-1. Jpg ions in the solution? Use StartBr
sdas [7]

The concentration of ions in the solution of lemon juice whose pH value is 2.32 is 4.79×10⁻³ M.

<h3>What is pH value?</h3>

The pH value shows that how much a solution is acidic or basic. The range of the pH value lies between the 0-14.

The pH value can be calculated with the following formula.

\rm pH=log[H^{+}]

Here, [H⁺] is the molar hydrogen ion concentration.

The pH of lemon juice at 298 K is found to be 2. 32. Put this value of pH in the above formula as,

\rm 2.32=log[H^{+}]\\\ [H^{+}]=4.79\times10^{-3} \rm \; M

Hence, the concentration of ions in the solution of lemon juice whose pH value is 2.32 is 4.79×10⁻³ M.

Learn more about the pH value here;

brainly.com/question/940314

8 0
2 years ago
(1+5/6)(1-5/6)<br><br> I don't understand it
ipn [44]
(a+b)(a-b) = a^2 - b^2

(1+5/6) (1-5/6) = 1^2 - (5/6)^2 = 1 - 25/36 = 36/36 - 25/36 = (36-25)/36 = 11/36

11/36 is your answer
5 0
4 years ago
The area of rhombus is 360cmsquare and one of its diagonalis 18cm. Find the other diagonal.
Yanka [14]

Answer: 40 cm

So the diagonal formula is -  1/2* (d1*d2) d1 is the first diagonal and d2 is the second diagonal.  

So,

1/2 * (18*d2)= 360

18*d2= 360*2

d2= 720/18

d2= 40

6 0
3 years ago
Sam is covering her rectangular pool for the winter. The area of the cover is x² + 13x + 42 ft². The length of the cover is (x +
nadezda [96]

Answer:

(x+6) feet, 110sq ft

Step-by-step explanation:

Area = width * length = something * (x + 7)

Width = (x+6) as 6 and 7 add to 13 and times to 42.

To confirm expand (x+6)(x+7)=x^2+6x+7x+42=x^2+13x+42

(x+6) feet

4^2+13(4)+42=16+52+42=110 sqft

5 0
3 years ago
Read 2 more answers
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