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bogdanovich [222]

2 years ago

12

Find three consecutive even integers such that the sum of the smallest and twice the second is 20 more than the third. Write the

second integer below.

1 answer:

olya-2409 [2.1K]2 years ago

5 0

10 11 12 or 9 10 11 are the answers

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Sum of two numbers is -17. Their difference is 41. Find the numbers

wel

Answer:

$Suppose~the~two~numbers~are~x~and~y.\\From~the~first~condition,\\x+y=-17...........(1)\\From~the~second~condition,\\x-y=41.............(2)\\Adding~eq^n(1)~and~eq^n(2),~we~get,\\x+y+x-y=-17+41\\or, 2x = 24\\or, x=12\\Substituting~x=12~in~eq^n(2),\\y = -17-x = -17-12 = -29$

$So,~the~two~numbers~are~12~and~-29.$

3 0

2 years ago

Plz explain and prove the triangles congruence.

ziro4ka [17]

Answer:

The explanation is given below with the diagram.

Step-by-step explanation:

Given:

Δ ABC is an Isosceles triangle with base AB.

D is the midpoint of AB

∴ AD = BD

To Prove:

$\angle ACD \cong \angle BCD$

Proof:

Isosceles triangle property:

If Δ ABC is an Isosceles triangle with base AB, then the two sides are congruent and the base angles are congruent.

$\therefore \overline{AC} \cong \overline {BC}\ and\\\therefore \angle CAD} \cong \angle CBD$

$In\ \triangle ACD\ and\ \triangle BCD\\\overline{AC} \cong \overline{BC}\ \textrm{ Two sides of Isosceles Triangle are congruent}\\\angle CAD \cong \angle CBD\ \textrm{Base angles of Isosceles Triangle are congruent }\\\overline{AD} \cong \overline{BD}\ \textrm{ D is the midpoint of AB given}\\\therefore \triangle ACD \cong \triangle BCD\ \textrm{ By Side-Angle-Side test}\\\therefore \angle ACD \cong \angle BCD\ \textrm{corresponding parts(angles) of congruent triangles}\\$

$\therefore \angle ACD \cong \angle BCD\ \textrm{ Proved}$

7 0

3 years ago

2) Juanita is due for a 5% raise. She is currently making $350 a week. What is her new

GenaCL600 [577]

Answer:

$367.5

Step-by-step explanation:

$350 × 0.05% = $17.5

$350 + $17.5 = $367.5

3 0

2 years ago

17. Find the value(s) of the variable(s). If necessary, round decimal answers to the nearest

Neporo4naja [7]

Answer:

C.

Step-by-step explanation:

The answer should be less than 15 for x since its the smallest side and C is the only answer that has that.

5 0

2 years ago

PLS HELP **80 POINTS**

TEA [102]

$\huge\pink{Answer}$

radius = 12/2

r = 6ft

diameter is given

diameter = 12ft

formula for circumference = 2πr

formula for area = πr²

circumference = 264/7

= 37.714 ft

6 0

2 years ago

Read 2 more answers