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crimeas [40]
3 years ago
7

The triangles shown above are similar. State the pairs of corresponding angles the images are not drawn to scale

Mathematics
1 answer:
melamori03 [73]3 years ago
7 0
We know that
∠X≈∠B
∠Y≈∠C
∠Z≈∠A

XZ≈BA
XZ=12
BA=9

XY≈BC
XY=14
BC=10.5

ZY≈AC
ZY=16
AC=12

the scale factor=12/16-----> 0.75

therefore

the answer is the option D
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The graph shows the relationship.....
Anna35 [415]

Answer:

Part A: That 6 pounds of rice costs $18

Part B: (1,3) represents the unit price

Part C: 4 pounds of rice, because $12/3 equals 4

Step-by-step explanation:

Part A: The first point, 6, is on the amount of rice axis and the second point, 18, is on the total cost axis.

Part B: The unit price means the price for just 1 of something, so if you go to 1 pound of rice on the graph, you see it's at 3 on the total cost axis. Which means that 1 pound of rice costs $3.

Part C: From Part B you know that 1 pound of rice equals $3. So if you spend $12, then you can divide that by $3 to see how many pounds of rice you bought. 12/3 equals 4, so you bought 4 pounds of rice. Or you can count by 3's until you get to 12: 3, 6, 9, 12. That's 4 times so that means you bought 4 pounds of rice.

5 0
3 years ago
What is the equation of the line which includes points (0,3) and (4,5)
laila [671]

Answer:

y = \frac{1}{2} x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (4, 5)

m = \frac{5-3}{4-0} = \frac{2}{4} = \frac{1}{2}

Note the line crosses the y- axis at (0, 3) ⇒ c = 3, thus

y = \frac{1}{2} x + 3 ← equation of line

4 0
3 years ago
Abby is touring China for four days. The car rental is $38.15 per day plus 12 1/2 cents per mile. If Abby drives 380.5 miles, ho
abruzzese [7]

Answer:

200.1625

Step-by-step explanation:

38.15 × 4 + .125 × 380.5

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$653.84 would be a week's salary if no taxes are figured into the equation

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3 years ago
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How much is this worth? Twice as much as 5 dimes and 3 pennies *
Savatey [412]

Answer:

106

Step-by-step explanation:

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