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Katena32 [7]
3 years ago
5

Please help me !!!!!!! and find the value of the isosceles triangle

Mathematics
1 answer:
ankoles [38]3 years ago
5 0
We can use pythagorean theorem to find the side of one of the triangles/

12^2 + x^2 = 15^2
x = 13

Since there are two of these triangles:

x = 13+13
x = 26

Hope this helps!
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How do I get to the answer of this question?
Elena L [17]

Triangle Similarity

We will use the SAS theorem to prove that Triangle TSG and Triangle PHG are similar.

First, we need to define the SAS similarity theorem:

<em>The Side-Angle-Side (SAS) Theorem states if two sides of one triangle are proportional to two corresponding sides of another triangle, and their corresponding included angles are congruent, the two triangles are similar.</em>

To use this theorem, we need to prove:

* Two sides of the triangles are in the same proportion

* The included angle between them is congruent with the other corresponding angle.

In triangle TSG, the longest side has a length of 7.5 + 5 = 12.5 feet

In triangle PHG, the longest (and therefore corresponding) side has a length of 5 feet.

The ratio between them is 12.5 / 5 = 2.5

In triangle TSG, the horizontal length is 4.5 + 3 = 7.5 feet

In triangle PHG, the horizontal (and therefore corresponding) side has a length of 3 feet.

The ratio between them is 7.5 / 3 = 2.5

Since the ratio measured on both corresponding sides is the same, we have satisfied the first condition of the SAS theorem.

The included angle is G, and it's the same for both triangles.

The reflexive property guarantees both triangles have congruent corresponding angles:

Angle G is congruent with (itself) Angle G

Thus, we have met the conditions for the SAS similarity theorem and therefore proven Triangle TSG and Triangle PHG are similar.

3 0
1 year ago
Brandi completed 7 out of her 9 chores. What percent does she have left to finish?
Anni [7]

sorry dont mind this I answered the wrong question

7 0
3 years ago
Read 2 more answers
Last year the 6th grade had 350 students. This year the number Increased 36%. How many students are in this year's 6th-grade cla
kupik [55]

Answer:

476 Students

Step-by-step explanation:

36% of 350 = 126 Students

350 + 126 = 476 students

7 0
3 years ago
Of the people who prefer mocha, the relative frequency of them preferring it cold is
WITCHER [35]

Answer

1) Relative frequency of prefering cold mocha amongst mocha drinkers = 0.32

2) Relative frequency of prefering a latte amongst hot coffee drinkers = 0.22

3) Type of coffee that has the highest percentage of people who prefer it cold = Regular

Explanation

1) Relative frequency of prefering cold mocha amongst mocha drinkers is given as

Relative frequency

= (Number of mocha drinkers who prefer it cold) ÷ (Total number of mocha drinkers)

Number of mocha drinkers who prefer it cold = 12

Total number of mocha drinkers = 12 + 25 = 37

Relative frequency = 12 ÷ 37 = 0.32

2) Relative frequency of prefering a latte amongst hot coffee drinkers is given as

Relative frequency

= (Number of latte drinkers who prefer it hot) ÷ (Total number of hot coffee drinkers)

Number of latte drinkers who prefer it hot = 19

Total number of hot coffee drinkers = 11 + 25 + 19 + 30 = 85

Relative frequency = (19/85) = 0.22

3) Percentage of people who prefer cold coffee for each coffee type

Regular

(17/28) = 60.7%

Mocha

(12/37) = 32.4%

Latte

(20/39) = 51.3%

Cappuccino

(27/57) = 47.4%

Regular coffee drinkers have the highest percentage of drinkers who prefer it cold.

Hope this Helps!!!

7 0
10 months ago
A freight train from city A to city B and a passenger train from city B to city A left the cities at the same time, at 10:00 AM,
djyliett [7]

Answer: Both trains would meet at 1 pm

Step-by-step explanation:

Let t represent the time at which both trains will pass each other.

The distance between the cities is 360 miles. This means that by the time both trains meet, the total distance covered would be 360 miles.

Distance = speed × time

The freight train is travelling at 50 mph. Distance covered by the freight train in t hours is 50t.

The passenger train is travelling at 70 mph. Distance covered by the passenger train in t hours is 70t.

Since the total distance covered is 360 miles, it means that

50t + 70t = 360

120t = 360

t = 360/120

t = 3 hours

Both trains would meet at 1 pm

8 0
3 years ago
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