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Paladinen [302]
3 years ago
9

Can someone help me with this question? I need the statement reasoning! Thank you so much I will mark brainliest!

Mathematics
2 answers:
Sergeu [11.5K]3 years ago
7 0
Triangle ABD and triangle CDB are similar because:
-it is given that angle A and angle C are equal, both 90
-angle ABD and angle CDB are equal because they are alternate interior angles
- side DB and side DB are the same length
- two triangles are equal because of AAS
kupik [55]3 years ago
4 0

Answer:

As per HL Postulate the triangles are congruent

Step-by-step explanation:

Given: m∠A = m∠C = 90° and  AD = CB

Prove: ΔABD ≅ ΔCDB

--------------------------

Since angles A and C are right angles, ΔABD and ΔCDB are right triangles

DB is common side, so

  • DB ≅ BD
  • AD ≅ CB is given
  • ∠DAB ≅ ∠ BCD given

As per HL Postulate if the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the two triangles are congruent

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Number 2 the table shows the gas mileage of two vehicles. Which vehicle travels more miles per gallon? Car. Miles. Gallons. Pick
aliina [53]

Answer:

The minivan travels more miles per gallon

Step-by-step explanation:

To determine the unit rate, take the miles and divide by the gallons

Truck:

120 miles / 8 gallons =15 miles per gallon

Minivan:

180 miles /10 gallons = 18 miles per gallon

The minivan travels more miles per gallon

4 0
3 years ago
Read 2 more answers
(50 POINTS) Write out each sum.
valentina_108 [34]

Step-by-step explanation:

12. n^2+2n

if you insert 1 for k and then work up by inserting 2 for k and adding those together and stoping at n.

13. 8-2(2^n)

if you insert 3 for k and then work up by inserting 4 for k and adding those together and keep on going but stopping at n.

Hope that helps :)

4 0
3 years ago
40 is 20% of x. If x is 80% of y, then what is the sum of x and y?
Tanzania [10]

40 is 20% of x

40 = .2 * x

40/.2 = x

x =200


x is 80% of y

x = .8 * y

200 = .8 *y

200/.8 = y

250 =y


x+y

200+250

450


5 0
4 years ago
Pls help this is due soon
Norma-Jean [14]

Answer:

180⁰ 8. 20⁰ 3. rays and angle

Step-by-step explanation:

need ko po ang sagot

6 0
3 years ago
A cable 13 meters long runs from the top of a utility pole to a point on the ground 5 meters from the base of the pole. How tall
Ira Lisetskai [31]

Answer:

height of the utility pole = 12 meters

Step-by-step explanation:

It is simple application of Pythagoras theorem.

In the given case, Length of cable (Hypotenuse) H = 13 meters, distance between base of pole to the point on the ground(Base) B = 5 meters and height of pole ( Perpendicular) P form a right angle triangle.

The applying Pythagoras theorem.

H^2 = P^2 +B^2

⇒ P^2 = H^2-B^2 = 13^2-5^2 = 144

⇒ P = 12 meters

hence, height of the utility pole = 12 meters

4 0
3 years ago
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