Rewrite 1/6 book 2/3 hour as a unit rate

3. In the fig. AD = DC and AB = BC. Prove that ΔADB = ΔCDB

xxMikexx [17]

Answer:

The two column proof is presented as follows;

The given parameters are;

$\overline {AD}$ = $\overline {DC}$ and $\overline {AB}$ = $\overline {BC}$

Statement ${}$ Reason

$\overline {AD}$ = $\overline {DC}$ and $\overline {AB}$ = $\overline {BC}$ ${}$ Given

$\overline {BD}$ ≅ $\overline {BD}$ ${}$ Reflexive property

$\overline {BD}$ = $\overline {BD}$ ${}$ By the definition of congruency

ΔADB ≅ ΔCDB ${}$ By Side-Side-Side (SSS) rule of congruency

ΔADB = ΔCDB ${}$ By the definition of congruency

If the three sides of one triangle are congruent to the corresponding three sides of another triangle, then both triangles are said to be congruent according to the SSS rule of congruency

Step-by-step explanation:

7 0

3 years ago

Mr. Engen rented a car for 35.00 a day and 0.45 a mile . He had the car for 2 days and paid 166.75 . How many miles did he drove

liubo4ka [24]

d = days rented for

m = miles driven for

so the cost of the car is 35 bucks a day and 45 cents or $0.45 per mile driven, let's check it out for say a few days

1st day, 3 miles......................35(1) + 0.45(3)

2nd day, 2 miles..................35(2) + 0.45(2)

3rd day, say 5 miles............35(3) + 0.45(5)

dth day, and m miles..........35d + 0.45m

so the cost function could be written as C = 35d+0.45m.

now, we know for 2 days, d = 2, it cost 166.75 bucks, so

$\bf C=35d+0.45m\implies \stackrel{C}{166.75}=35(\stackrel{d}{2})+0.45m\\\\\\166.75=70+0.45m\implies 96.75=0.45m\\\\\\\cfrac{96.75}{0.45}=m\implies 215=m$

7 0

3 years ago

A navigator marks three locations on a satellite map as shown. If the distance from Serravalle to San Marino is 982 miles, and t

Solnce55 [7]

833
Seravalle____________Chiesanuova______________San Marino

|---------------------------------------------------------------------|
982

so the distance from Chiesanuova to Serravalle is :
982 - 833 = 149 miles <==

3 0

3 years ago

Read 2 more answers

Here are the vertices of rectangle FROG: (-2,5),(-2,1),(6,5),(6,1). Find the perimeter of this rectangle. If you get stuck, try

ryzh [129]

Answer:

Part 1) The perimeter of rectangle is equal to 24 units

Part 2) The area of rectangle is equal to 32 square units

Step-by-step explanation:

Part 1) Find the perimeter of rectangle

we know that

The perimeter of rectangle is equal to