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kolezko [41]
2 years ago
5

Given the isosceles trapezoid, find the value of x

Mathematics
1 answer:
Advocard [28]2 years ago
4 0

Answer:

x = 11

Step-by-step explanation:

The lower base angles are congruent, so

4x + 41 = 85 ( subtract 41 from both sides )

4x = 44 ( divide both sides by 4 )

x = 11

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...............................................
olga2289 [7]

Answer:

  1. OT⊥BA;T is the midpoint of BA-------Given
  2. ∠BTO and ∠ATO are right angles ---Definition of perpendicular lines
  3. ∠BTO≅∠ATO---------------------------------All right angles are congruent
  4. T is the midpoint of BA------------------ Given
  5. TA≅TB-------------------------------------------Definition of midpoint
  6. TO≅TO------------------------------------------Reflexive
  7. ΔBOT≅ΔAOT---------------------------------SAS

Step-by-step explanation:

Given that OT⊥BA and T is the midpoint of BA

As OT⊥BA,

∠BTO and ∠ATO are right angles (Definition of perpendicular lines)

⇒∠BTO≅ ∠ATO (All right angles are congruent)

T is the midpoint ofBA (given)

⇒TA≅TB (Definition of midpoint)

TO≅TO (Reflexive)

Therefore, ΔBOT≅ΔAOT (by SAS criteria ):

conditions:

  • BT=AT(side)
  • ∠BTO=∠ATO(angle)
  • TO=TO(side)
3 0
3 years ago
Between 02 30 and 05 15, the same day ,the volume of water in a reservoir increased from 1500 L to 14 700 L. What was the averag
marishachu [46]

Answer:

4,800

Step-by-step explanation:

(14,700- 1,500) / 2 h 45 m

= 13,200 / 2.75

= 4,800 L/h

6 0
2 years ago
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Stan earns $12 per hour by working as an intern at a law firm. How much money does he earn in a week in which he works 28 hours?
White raven [17]
$12 per hour

He works 28 hours.

Multiply the hours by the money he makes per hour.

28 * 12 = $336
7 0
3 years ago
Read 2 more answers
What is the slope between (10,4) and (7,4)?
Inga [223]
Slope is rise/run to find it we do (y1-y2)/(x1-x2) y1 means the 1st y and y2 means the second y in (x,y) form y1=4 y2=4 x1=10 x2=7 (4-4)/(10-7)=0/3=0 slope is 0
3 0
3 years ago
A rectangle measures 2 4/5 inches by 2 4/5 inches. What is its area? Answer in a mixed number. WILL MARK BRAINLIEST
Marysya12 [62]

7 21/25

2 4/5 x 2 4/5 = 7 21/25

7 0
2 years ago
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