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Ivahew [28]
2 years ago
9

Alejandro used a mathematical property to create two equivalent expressions.

Mathematics
1 answer:
denis23 [38]2 years ago
8 0
The answer is 5 hope this helps!
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What is the similarity ratio of ΔABC to ΔDEF?<br> Tri ABC: AC=4 CB=5<br> Tri DEF: DF= 2
alekssr [168]

The similarity ratio of ΔABC to ΔDEF = 2 : 1.

Solution:

The image attached below.

Given  ΔABC to ΔDEF are similar.

To find the ratio of similarity triangle ABC and triangle DEF.

In ΔABC: AC = 4 and CB = 5

In ΔDEF: DF = 2, EF = ?

Let us first find the length of EF.

We know that, If two triangles are similar, then the corresponding sides are proportional.

⇒ \frac{AC}{DF} =\frac{BC}{EF}

⇒ \frac{4}{2} =\frac{5}{EF}

⇒ 4EF=5\times2

⇒ EF=\frac{5\times 2}{4}

⇒ EF=\frac{5}{2}

Ratio of ΔABC to ΔDEF = \frac{AC}{DF} =\frac{4}{2}=\frac{2}{1}

Similarly, ratio of ΔABC to ΔDEF = \frac{BC}{EF} =\frac{5}{\frac{5}{2}}=\frac{2}{1}

Hence, the similarity ratio of ΔABC to ΔDEF = 2 : 1.

6 0
3 years ago
Plsssssssssssssssssssssssss Help Asap
Sati [7]

Answer:

h(g(0)) = 1 - 3y^2 .

Step-by-step explanation:

8 0
3 years ago
3/16 x 6 in the simplest form
SIZIF [17.4K]

Answer:

9/8

Step-by-step explanation:

3/16 x 6=18/16=9/8

8 0
2 years ago
Read 2 more answers
Polygon ABCD, shown in the figure, is dilated by a scale factor of 8 with the origin as the center of dilation, resulting in the
saveliy_v [14]
C = (5,4)

D = (4,2)

Dilation with factor 8 => for the same x, y increase by a factor of 8

=> C' = (5, 8*4) = (5, 32)

=> D' = (4, 8*2) = (4, 16)

slope of C'D' = [32 - 16] / [5 -4 ] =16

You can also see that the slope of CD = [4 - 2] / [5 - 4] = 2

Then, the new slope is 8 times the old slope, this is it was multiplied by the same factor, 8. 

Answer: 16
7 0
3 years ago
Read 2 more answers
At Scobee Middle School, 35% of the seventh graders ride the bus to school. If there are 320 seventh graders, how many 7th grade
anzhelika [568]

Answer: 112 7th graders ride the bus .

Step-by-step explanation:

Given: The proportion of 7th graders ride the bus to school= 35% = 0.35  [to remove % we divide number by 100]

If there are 320 seventh graders, then the number of 7th graders ride the bus = 320 x (proportion of 7th graders ride the bus to school)

0.35 \times 320

= 112

Hence, 112 7th graders ride the bus .

6 0
2 years ago
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