Correct answer gets multiply. (2x+1)(x−5) express the answer in standard form. enter your answer in the box

Given is (2x+1)(x−5)

We need to multiply the binomials and write the expression in standard form.

We know about distributive property that is given as "a(b+c) = ab + ac".

We have (2x+1)(x−5).

Step 1: Using Distributive property on first binomial expression (2x+1).

2x(x-5) + 1(x-5)

Step 2: Using Distributive property on second binomial expression (x-5).

2x(x) + 2x(-5) + 1(x) + 1(-5)

2x² - 10x + 1x - 5

Step 3: Combining like terms.

2x² - 9x - 5

Hence, final answer is (2x² - 9x - 5).

dont understand

step-by-step explanation:

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°