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3 years ago

Prove that if AC=DF and AB=DE then BC=EF

1 answer:

8 0

In triangle ABC and DEF
AC =DF, [ given ]
AB =DE, [ given ]
angle A = angle D
by SAS
ABC congruent to triangle DFE
so
BC = EF, [ CPCTC]
hence proved

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The volume of gas in a container at a constant temperature varies inversely as the pressure. If the volume is 32 cubic centimete

aleksklad [387]

Step-by-step explanation:

Given that,

The volume of gas in a container at a constant temperature varies inversely as the pressure.

$V_1=32\ cm^3\\\\P_1=8\ \text{pounds}\\\\V_2=60\ cm^3$

We need to find pressure $P_2$ .

According to question,

$\dfrac{V_1}{V_2}=\dfrac{P_2}{P_1}$

Putting all the values

$P_2=\dfrac{P_1V_1}{V_2}\\\\P_2=\dfrac{8\times 32}{60}\\\\P_2=4.26\ \text{pounds}$

So, the pressure is 4.26 pounds.

7 0

3 years ago

PLEASE HELP I WILL GIVE BRAINLIEST

kobusy [5.1K]

Answer:

If using one pound of pumpkin the baker needs to use 4 pounds of flour mixture

Step-by-step explanation:

step 1: I am going to convert the measurements

into decimals

8/5=1.6

2/5=.4

step 2: I will use cross multiplication to find out how much pumpkin for one pound of flour

1.6=.4

1=?

1*.4=.4/1.6=.25

step 3: I will convert .25 into a fraction

.25=1/4

for every 1/4 pound pumpkin, I will use 1 pound of flour

which is why

If using one pound of pumpkin the baker needs to use 4 pounds of flour mixture

6 0

3 years ago

To the nearest tenth, which is the BEST estimate for the volume of the given pyramid?

mixer [17]

Answer:

4.2 cubic inches

Step-by-step explanation:

Find the diagram attached

Volume of the rectangular pyramid = BH/3

B is the base area

H is the height of the pyramid

Given

Base area = 3.2in * 1.4in

Base area = 4.48sq. in

Height = 2.8in

Volume of the rectangular pyramid = 4.48*2.8/3

Volume of the rectangular pyramid = 12.544/3

Volume of the rectangular pyramid = 4.2 cubic inches

5 0

3 years ago

Pleaseeee answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!

In-s [12.5K]

Answer:

GJ is perpendicular to IK

Step-by-step explanation:

GJ is perpendicular to IK

6 0

3 years ago

The complement of an angle measures 20 more than the angle. Find the number of degrees in the angle

padilas [110]

Let the measure of its complement be x°.
then, measure of angle = (x + 20)°. and measure of angle = (35 + 20)° = 55°

6 0

3 years ago

Read 2 more answers