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2 years ago

7

In ΔTUV, t = 6.6 inches, ∠U=71° and ∠V=36°. Find the length of u, to the nearest 10th of an inch.

1 answer:

natali 33 [55]2 years ago

5 0

Answer:

hi

Step-by-step explanation:

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Which statement follows from the given theorem? Theorem: The diagonal of a parallelogram divides it into two congruent triangles

777dan777 [17]

Answer with explanation:

Theorem : The diagonal of a parallelogram divides it into two congruent triangles.

Properties of parallelogram

1. Opposite sides are equal and parallel.

2. Diagonal bisect each other.

3. Opposite Angles are equal.

If you will look at the first three options

A: Diagonals of a parallelogram bisect opposite angles.→→False(Alternate angles are equal)

B: Consecutive sides of a parallelogram are congruent.→→→False(Opposite sides are congruent)

C: Consecutive angles of a parallelogram are congruent.→→→False(Opposite angles are congruent)

D: Consecutive angles of a parallelogram are supplementary.→→→→True

For,any parallelogram, having vertices , A, B and C and D

Opposite sides are parallel, so

1.∠A + ∠B=180°

2.∠C + ∠B=180°

3.∠C+ ∠D=180°

4. ∠A + ∠D=180°

Option D

6 0

2 years ago

Kathy has $50,000 to invest today and would like to determine whether it is realistic for her to achieve her goal of buying a ho

olga_2 [115]

Answer:

a) About 12%

Step-by-step explanation:

We need to find the interest rate required to achieve her goal, so we will need to use the interest-compound formula:

$FV=PV(1+i)^{n}$

Where:

PV= Present Value

i= interest rate

FV= Future Value

n= number of periods

replacing the data provided:

$150.000=50.000(1+i)^{10}$

solving for i:

first, divide both sides by 50.000 to simplify the equation:

$3=(1+i)^{10}$

Take $10^{th}$ roots of both sides:

$1+i=$ ± $\sqrt[10]{3}$

solve for i:

$i=$ ± $\sqrt[10]{3} -1$

We get two answers, but we look for a coherent value. So we take the positive one:

$i=11.6123174$ ≈12

6 0

2 years ago

Find the value of x in each case:

Zanzabum

Answer:

$x=30\°$

Step-by-step explanation:

<u>Find the measures of interior angles in each triangle</u>

Triangle BGC

$m$

The measures of triangle BGC are $90\°-60\°-30\°$

Triangle CGH

we know that

$m$ -----> by consecutive interior angles

we have that

$m$

so

$m$

$m$

substitute

$m$

we have

$m$

$m$

$m$

remember that

$m$

$60\°+2x+180\°-4x=180\°$

$60\°=2x$

$x=30\°$

The measures of triangle CGH are $60\°-60\°-60\°$

Triangle GHE

$m< EGH=90\°-2x=90-2(30\°)=30\°$

$m< GHE=4x=4(30\°)=120\°$

remember that

$m$

substitute and solve for m<GEH

$30\°+120\°+m$

$150\°+m$

$m$

The measures of triangle GHE are $30\°-120\°-30\°$

6 0

2 years ago

Read 2 more answers

The amount of money (in dollars) that it costs to purchase x square feet of carpet is given by f(x)=5.6x. The installation fee i

iren [92.7K]

Answer:

the installation fee is $104.40

Step-by-step explanation:

8 0

2 years ago

Carmela mixes 3/4 kilogram of walnuts, 1/2 kilogram of almonds, and 1/4 kilogram of pecans together. She divides the mixed nuts

Evgesh-ka [11]

Amount of walnuts= $\frac{3}{4} kg$

Amount of almonds= $\frac{1}{2} kg$

Amount of pecans= $\frac{1}{4} kg$

Total amount= $\frac{3}{4}+\frac{1}{2}+\frac{1}{4}$

LCM is 4 so sum is = $\frac{3+2+1}{4}=\frac{6}{4}$ = $\frac{3}{2}$

As given, Carmela divides the mixed nuts into 3/10 kilogram bags so number of bags will be:

$\frac{\frac{3}{2}}{\frac{3}{10}}$

= $\frac{3}{2}\times\frac{10}{3}$ = 5

Hence, answer is 5 bags.

5 0

2 years ago