Choose the word phrase (greater than, less than, or equal to) to make the statements true.

What additional information could you use to show that ΔSTU ≅ ΔVTU using SAS? Check all that apply.

zzz [12365]

I think the correct solutions are: UV = 14 ft and m∠TUV = 45°; ST = 20 ft, UV = 14 ft, and m∠UST = 98°. In other words, Options A and D.

6 0

1 month ago

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Which number can each term of the equation be multiplied by to eliminate the fractions before solving? m – negative StartFractio

zzz [12365]

Answer: To remove fractions prior to solving, each term in the equation must be multiplied by $4$ .

Step-by-step explanation:

Consider the given expression:

$-\frac{3}{4}m-\frac{1}{2}=2+\frac{1}{4}m$

It is essential to simplify this before attempting to solve it.

Since the denominators differ, identifying the Least Common Denominator (LCD) is necessary.

Break down the denominators into their prime components:

$4=2*2=2^2\\2=2$

Select $2^2$ , as it possesses the greatest exponent. Thus:

$LCD=2^2=4$

Ultimately, to remove the fractions before solving, multiply both sides by 4:

$(4)(-\frac{3}{4}m)-(4)(\frac{1}{2})=(4)(2)+(4)(\frac{1}{4}m)\\\\-3m-2=8+m$

7 0

2 months ago

Solve the following quadratic equations by extracting square roots.Answer the questions that follow.

babunello [11817]

Answer:

1. x=±4

2. t=±9

3. r=±10

4. x=±12

5. s=±5

Step-by-step explanation:

1. x^2 = 16

By extracting the square root on both sides

$\sqrt{x^2}=\sqrt{16}\\\sqrt{x^2}=\sqrt{(4)^2}\\$

x=±4

2. t^2=81

Again, take the square root of each side

$\sqrt{t^2}=\sqrt{81}\\\sqrt{t^2}=\sqrt{(9)^2}$

t=±9

3. r^2-100=0

$r^{2}-100=0\\r^2 =100\\Taking\ Square\ root\ on\ both\ sides\\\sqrt{r^2}=\sqrt{100}\\\sqrt{r^2}=\sqrt{(10)^2}$

r=±10

4. x²-144=0

We rewrite as x²=144

Applying square roots

$\sqrt{x^2}=\sqrt{144}\\\sqrt{x^2}=\sqrt{(12)^2}$

x=±12

5. 2s²=50

$\frac{2s^2}{2} =\frac{50}{2}\\s^2=25\\Taking\ Square\ root\ on\ both\ sides\\\sqrt{s^2}=\sqrt{25}\\\sqrt{s^2}=\sqrt{(5)^2}$

s=±5 ..

4 0

3 months ago

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Adam and his dad share the cost of the meal in the ratio of 2:3. Adam’s dad pays £52.20. What is the total cost of the meal

tester [12383]

Adam and his dad split the bill in a 2:3 ratio. The dad’s share equals the 3 parts and is £52.20, so one part is 52.20 ÷ 3 = £17.40. Adam’s portion (2 parts) is 2 × 17.40 = £34.80. The total cost is 34.80 + 52.20 = £87.00.

6 0

3 months ago