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Mathematics

2 answers:

Rudiy273 years ago

8 0

Answer:

5.60

Step-by-step explanation:

To find what 10 pens cost we have to go down to the cost of 1 pen first.

If 3 pens costs 1.68 then the cost of 1 pen is 1.68 divided by 3.

$\frac{1.68}{3} = 0.56$

If one pen costs 0.56 then 10 pens cost 0.56 multiplied by 10.

0.56 × 10 = 5.60

Andre45 [30]3 years ago

5 0

Answer:

16.8

Step-by-step explanation:

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1. Remember what we know about vertical angles and solve for x. (SHOW WORK)

EastWind [94]

Answer:

Ans.1.) X = 7.

Ans.2.a.) AC =JL.

Ans.2.b.) BC = KL.

Step-by-step explanation:

For Question 1.

As we know vertically opposite angles are equal.

$\therefore (x+16)\° = (4x-5)\°\\\therefore (5+16)\° = (4x-x)\°\\ \therefore (3x) = (21)\\\therefore x = 7\\$

For Question 2.a)

$In\ \triangle ABC and \triangle JKL \\AB \cong JK\ \textrm{Given}\\\angle CAB \cong \angle LJK\ \textrm{each measure angle of 90\°}\\AC \cong JL\ \textrm{this is the required information to prove the triangles are congruent by SAS postulate}\\\therefore \triangle ABC \cong \triangle JKL\ \textrm{ By SAS postulate}$

For Question 2.b)

$In\ \triangle ABC and \triangle JKL \\AB \cong JK\ \textrm{Given}\\\angle CAB \cong \angle LJK\ \textrm{each measure angle of 90\°}\\BC \cong KL\ \textrm{this is the required information to prove the triangles are congruent by HL Theorem}\\\therefore \triangle ABC \cong \triangle JKL\ \textrm{ By Hypotenuse length Theorem}$