Answer:
Step-by-step explanation:
<u>Divide the total number of cups by the number required for each dish:</u>
Answer:
UV=29
Step-by-step explanation:
In right triangles AQB and AVB,
∠AQB = ∠AVB ...(i) {Right angles}
∠QBA = ∠VBA ...(ii) {Given that they are equal}
We know that sum of all three angles in a triangle is equal to 180 degree. So wee can write sum equation for each triangle
∠AQB+∠QBA+∠BAQ=180 ...(iii)
∠AVB+∠VBA+∠BAV=180 ...(iv)
using (iii) and (iv)
∠AQB+∠QBA+∠BAQ=∠AVB+∠VBA+∠BAV
∠AVB+∠VBA+∠BAQ=∠AVB+∠VBA+∠BAV (using (i) and (ii))
∠BAQ=∠BAV...(v)
Now consider triangles AQB and AVB;
∠BAQ=∠BAV {from (v)}
∠QBA = ∠VBA {from (ii)}
AB=AB {common side}
So using ASA, triangles AQB and AVB are congruent.
We know that corresponding sides of congruent triangles are equal.
Hence
AQ=AV
5x+9=7x+1
9-1=7x-5x
8=2x
divide both sides by 2
4=x
Now plug value of x=4 into UV=7x+1
UV=7*4+1=28+1=29
<u>Hence UV=29 is final answer.</u>
ANSWER.
The correct answer is Option A
EXPLANATION.
The real number

to 9 decimal places.
You can see that the decimals are not repeating, neither will they terminate.
Therefore the real number
is irrational because, the decimal does not terminate or repeat
Also note that,
.
That is,
is a product of two irrational numbers, which still gives an irrational number.
Answer:
-24
Step-by-step explanation:
So in short this is what it means:
-4×-2×-3
So to work it out this is what you do:
Deal with the first two numbers; -4 × -2=8
It becomes an eight without a negative because when multiplying numbers with the same signs(positive or negative) the answer is always a positive number thus the answer becomes 8.
Then 8×-3=-24
This is because when multiplying a negative and positive numbers the answer is always a negative numbers thus -24.
So automatically the answer is -24.
HOPE IT HELPED
2. the scale factor is x= 4.5 cm
this is because when u see how much it dilated from 4cm to 2cm it divided from 2, so if u did the same for the other number. Which is 9, it’s 9/2 which equals 4.5