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timama [110]
3 years ago
6

The ABC Toy Company is creating two similar pieces for a board game, as shown below. Find the value of y that makes the two piec

es similar. Triangle GHI is shown with sides GH marked as 4, GI marked as 6, and HI marked as x. Triangle JKL is shown with sides JK marked as 8, JL marked as y, and KL marked as z. Numerical Answers Expected! Answer for Blank 1:
Mathematics
2 answers:
Kisachek [45]3 years ago
6 0

Answer:

y = 12

Step-by-step explanation:

Given

Triangles GHI and JKL

<em>See attachment for illustration</em>

Required

Find the value of y

We have:

GH = 4

GI = 6

JK = 8

JL = y

Sides GH and JK are similar

Sides GI and KL are also similar

Since both triangles are similar, then the ratio of similar sides must be equal.

Ratio = GH : JK

Ratio = GI : JL

Equate both ratios

GH:JK = GI:JL

Substitute values for GH, GI, JK and JL

4 : 8 = 6 : y

Convert to fractions

\frac{4}{8} = \frac{6}{y}

\frac{1}{2} = \frac{6}{y}

Cross Multiply

1 * y = 6 * 2

y = 12

Verizon [17]3 years ago
4 0

Answer:

y = 12.

Step-by-step explanation:

I just took the test and got it right. This is because 8 is twice the size as 4, so it can be determined that all you need to do is multiply 6 by 2. I hope this helps!

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I need to know<br> give 20 points to who answers this right.
NISA [10]

Step-by-step explanation:

I believe it's 16 1/2. I just used MathPapa lol.

5 0
2 years ago
Answer the following Question
anastassius [24]

Answer:

a)$15.95

b) 8kg

Step-by-step explanation:

a)Approach this question by finding how much does it cost for 1g

So,

$2.1/50=$0.042per gram

then, multiple 380 to get the cost of sweets for 380 g

$0.042/gram*380gram=$15.96(Note: the gram cancel out each other)

Which is $15.95 as the question requested

b)This question stated that 3/4 of the metal has 15 kg

So, in order to find the total mass of metal we invert the 3/4 fraction

e.g 4/3*15=20kg

now we have the total mass we can find the mass for 2/5 of the metal

2/5*20kg=8kg

3 0
3 years ago
1) Gena’s new outfit originally cost $75. She received 20% off. How much did Gena’s outfit cost?
Paha777 [63]

Answer:

1. $60

2. 600 Calories were burned

3. D

Step-by-step explanation:

1. $75 x .20=$15

75-15=$60

2. What I started with is 200/40=5 calories burned per min

60 plus 60=120

5x120=600

3. It's the only option that has something decreasing. and there is a -5 which means it's getting subtracted or its decreasing.  

6 0
3 years ago
Read 2 more answers
Kiran scored 36 baskets in 1 week. She scored 1/2 of the baskets on the weekend. She scored 1/4 of them on Tuesday, she scored 1
notka56 [123]

Answer:

6 baskets did Kiran score on Thursday

Step-by-step explanation:

As per the statement:

Kiran scored 36 baskets in 1 week.

On weekend she scored = \frac{1}{2} \cdot 36 = 18 baskets.

She scored 1/4 of them on Tuesday

⇒On Tuesday she scored = \frac{1}{4} \cdot 36 = 9 baskets

She scored 1/12 of them on Wednesday

⇒On Wednesday she scored = \frac{1}{12} \cdot 36 = 3 baskets.

Then;

She scored = On Weekend + On Tuesday + On Wednesday = 18+9+3 = 30 baskets.

Rest on Thursday she scored = 36 - 30 = 6 baskets.

Therefore, 6 baskets did Kiran score on Thursday

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3 years ago
100p for an answer please
Lelu [443]
Quotient is n over 7
difference is n-7
product is 7n
sum is n+7

3 0
3 years ago
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