Mathematics, 27.06.2021 14:30 Jennifer312332

((HELP ME PLEASE)) For #2-7, decide if the triangles in each pair are similar. If they are similar, state how you know they are similar and then complete the similarity statement. If they are not similar, explain why.

((HELP ME PLEASEEEE))

For #2-7, decide if the triangles in each pair are similar. If they are sim

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Answer from: lburch112

2. The ratio of the corresponding sides of ΔUTS and ΔUDE are not equal

3. ΔCBA ~ ΔHGF

4. ΔVUT ~ ΔVML

5. ΔTUV ~ ΔJKL

6. The ratio of all the corresponding sides and all the corresponding angles in triangles ΔSTU and ΔSCB are not equal

7. The ratio of the corresponding sides of triangles, ΔKLM and ΔKBC are not equal

Step-by-step explanation:

2. The ratio of the corresponding sides of ΔUTS and ΔUDE are;

36/43, 16/39, and 16/40

We have;

$\dfrac{36}{43} \neq\dfrac{16}{39}$

∴ ΔUTS is not similar to ΔUDE, because the ration of the corresponding sides of both triangles are not equal

3. The interior angles of ΔCBA are;

∠A = 33°, ∠B = 88°, and ∠C = 59°

The interior angles of ΔHFG are;

∠H = 33°, ∠F = 59°, and ∠G = 88°

∴ ΔCBA ~ ΔHGF (ΔCBA is similar to ΔHGF) (Letters rearranged) by Angle-Angle, AA, similarity postulate

4. The measure of angle ∠LMV = 25° = The measure of angle ∠UTV Given

The measure of angle ∠MVL = ∠TVU by reflexive property

Therefore, ΔVUT ~ ΔVML (ΔVUT is similar to ΔVML) by Angle-Angle, AA, similarity postulate

5. The measure of angles ∠T and ∠U in triangle ΔTUV are equal to the measure of angles ∠J and ∠K in triangle ΔJKL

Therefore, ΔTUV ~ ΔJKL (ΔTUV is similar to ΔJKL) by Angle-Angle, AA, similarity postulate

6. In triangles ΔSTU and ΔSCB, we have;

The ∠TSU = ∠TSU by reflexive property

However, ∠SUT ≠ ∠SNC ≠ ∠STU

Therefore, ΔSTU is not similar to ΔSCB due to the triangles have one non equal angle

$\dfrac{SB}{SU} =\dfrac{22}{33} = \dfrac{2}{3} =\dfrac{18}{27} = \dfrac{CB}{TU} \neq \dfrac{21}{30} = \dfrac{7}{10} = \dfrac{CS}{TS}$

From which we get;

$\dfrac{SB}{SU} \neq \dfrac{CS}{TS}$

∴ ΔSTU is not similar to ΔSCB, because not all the ratio of the corresponding sides and angles are equal

7. The ratio of the corresponding sides of triangles, ΔKLM and ΔKBC are;

$\dfrac{KB}{KL} = \dfrac{18}{88} = \dfrac{9}{44}$

KM = KC + CM = 25 + 107 = 132

$\dfrac{KC}{KM} = \dfrac{25}{132}$

Therefore;

$\dfrac{KB}{KL} \neq \dfrac{KC}{KM}$

The ratio of the sides of triangles, ΔKLM and ΔKBC are;

Therefore ΔKLM and ΔKBC are not similar, because the ratio of the corresponding sides are not equal

Answer from: Quest

answer: 25.4 units

step-by-step explanation: radius = 12.7 units

diameter = twice the radius

diameter = 12.7 x 2

= 25.4

The blue segment below is a radius of o. what is the length of the diameter of the circle?

Answer from: Quest

answer: evaluate the objective function at each vertex to determine which - and -values, if any, maximize or minimize the function. example: find the minimum value and maximum value of the objective function f ( x , y ) = 4 x + 5 y , subject to the following constraints

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((HELP ME PLEASE)) For #2-7, decide if the triangles in each pair are similar. If they are similar,...