We read your photo as:

Please provide geometry problems with explanations, and explain the terms.

Mathematics

ScanSolve AI Answer

Answer

65∘65^\circ

84 m284 \text{ m}^2

Step-by-step solution

6 steps

Here are some geometry problems with explanations, followed by the explanations of the terms you asked for.

Geometry : Angles in a Triangle

Problem: A triangle has two interior angles measuring 50∘50^\circ and 65∘65^\circ. What is the measure of the third interior angle?

  1. Recall the property of angles in a triangle.

    The sum of the interior angles in any triangle is always 180∘180^\circ.

  2. Set up the equation.

    Let the three angles of the triangle be α\alpha, β\beta, and γ\gamma. We are given α=50∘\alpha = 50^\circ and β=65∘\beta = 65^\circ. We need to find γ\gamma.

    α+β+γ=180∘\alpha + \beta + \gamma = 180^\circ 50∘+65∘+γ=180∘50^\circ + 65^\circ + \gamma = 180^\circ
  3. Solve for the unknown angle.

    First, add the known angles:

    115∘+γ=180∘115^\circ + \gamma = 180^\circ

    Now, subtract 115∘115^\circ from both sides to find γ\gamma:

    γ=180∘−115∘\gamma = 180^\circ - 115^\circ γ=65∘\gamma = 65^\circ

    The measure of the third interior angle is 65∘\boxed{65^\circ}.


    Geometry : Area of a Rectangle

    Problem: A rectangular garden has a length of 12 meters and a width of 7 meters. What is the area of the garden?

  4. Recall the formula for the area of a rectangle.

    The area (AA) of a rectangle is calculated by multiplying its length (LL) by its width (WW).

    A=L×WA = L \times W
  5. Substitute the given values into the formula.

    Given L=12L = 12 meters and W=7W = 7 meters.

    A=12 m×7 mA = 12 \text{ m} \times 7 \text{ m}
  6. Calculate the area.

    A=84 m2A = 84 \text{ m}^2

    The area of the garden is 84 m2\boxed{84 \text{ m}^2}.


    Explanation of Terms:

    • Coast (Coastal) A coast is the land along a sea or ocean. It is the boundary where land meets a large body of water. The term coastal refers to anything related to or situated on a coast, such as coastal towns, coastal erosion, or coastal ecosystems.

    • Savanna zone A savanna zone is a grassland ecosystem characterized by scattered trees that are not dense enough to form a closed canopy. These zones are typically found in tropical or subtropical regions and experience distinct wet and dry seasons. They support a wide variety of wildlife, particularly large grazing animals.

    • Igoso dynasty I could not find historical information about an "Igoso dynasty." It is possible there might be a slight misspelling, or it refers to a very specific local or less documented historical entity. If you have more context or a different spelling, please provide it, and I can try to find more information.

Was this helpful?

Try one yourself

A new problem that tests the same skill.

Still stuck on this one?

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question
Handwritten step-by-step solution preview

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp