All categories

3 years ago

98 Points! Answer Quick!

Mathematics

2 answers:

timama [110]3 years ago

7 0

Reason:

2. SD ⊥ HT. ∴ ∠SDH = ∠SDT =90°

3. Given (It is given in the question)

5. RHS congruence

(Here, the right angle, hypotenuse and one side of ΔSHD is congruent to that of ΔSTD).

Statement:

4. Line segment SD = SD

(Reflexive property is used to prove congruence of triangles. This property is used when an angle or line segment is congruent to itself.)

Lina20 [59]3 years ago

6 0

Answer:

2. SD ⊥ HT. ∴ ∠SH = ∠ST =90° 3.

Step-by-step explanation:

Two right triangles are congruent if the hypotenuse and one side of one triangle are respectively equal to the hypotenuse and the corresponding side of the other triangle.

You might be interested in

Please help will mark brainliest and thank you

Law Incorporation [45]

Answer:

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Which function in vertex form is equivalent to f(x) = x² + x +1?

mylen [45]

Answer:

$\left( x+\frac{1}{2} \right)^{2} + \frac{3}{4}$

Step-by-step explanation:

NOTE :

$x^2+ax=\left( x+\frac{a}{2} \right)^{2} -\left( \frac{a}{2} \right)^{2}$

………………………………………

f(x) = x² + x +1

$=x^{2}+2\times \frac{x}{2} +1$

$=\left( x+\frac{1}{2} \right)^{2} -\left( \frac{1}{2} \right)^{2} +1$

$=\left( x+\frac{1}{2} \right)^{2} - \frac{1}{4}+1$

$=\left( x+\frac{1}{2} \right)^{2} + \frac{3}{4}$

4 0

2 years ago

Tomato as a taste modifier. Miraculin—a protein naturally produced in a rare tropical fruit—has the potential to be an alternati

telo118 [61]

Answer:

a) 0.033

b) 0.468

c) 100

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 105.3

Standard Deviation, σ = 8

The amount x of miraculin produced (measured in micro-grams per gram of fresh weight) had a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P(x > 120)

$P( x > 120) = P( z > \displaystyle\frac{120 - 105.3}{8}) = P(z > 1.8375)$

$= 1 - P(z \leq 1.8375)$

Calculation the value from standard normal z table, we have,

$P(x > 120) = 1 - 0.967 = 0.033 = 3.3\%$

b) P(x between 100 and 110)

$P(100 \leq x \leq 110) = P(\displaystyle\frac{100 - 105.3}{8} \leq z \leq \displaystyle\frac{110-105.3}{8}) = P(-0.6625 \leq z \leq 0.5875)\\\\= P(z \leq 0.5875) - P(z \leq -0.6625)\\= 0.722 - 0.254 = 0.468 = 46.8\%$

$P(100 \leq x \leq 110) = 46.8\%$

c) P(x < a) = 0.25

$P( x \leq a) = P( z \leq \displaystyle\frac{a - 105.3}{8}) = 0.25$

Calculation the value from standard normal z table, we have,

$P( z \leq -0.674) = 0.25$

$\displaystyle\frac{x - 105.3}{8} = -0.674\\\\x = -0.674\times 8 + 105.3 = 99.908 \approx 100$

3 0

3 years ago

Quick question, not a math problem. I just need some explanation.

kvv77 [185]

We all are familiar with (x,y) coordinate plane where some lines or curves are drawn. These curves are drawn or made up using some (x,y) points. These values of (x,y) points satisfy the equation of curves.

The equation of x and y variables is called a Relationship. Now, a Function is a "special relationship of x and y variables" where each input x has a single answer for output y.

In other words, we can say any relation y=f(x) would be a "Function" if and only if each value of x input give us a unique value of y output from the equation. No two values of y can be output of same x-value input.

For example:- y = f(x) = 2x is a Function because each value of x would give unique answer for y. x=4 gives y=8.

Another example is:- y = f(x) = √x is "not a function" because one-value of x would give two answers of y. x=4 gives y= -2 and y=2.

3 0

3 years ago

Round 969.991 to the nearest whole number

Natalija [7]

Answer:

Round of 969.991

970

Rules of round off

1) If the digit is odd no. the no. will increase to 1

2) if it is even the no. will be same.

7 0

2 years ago